Publications

• Recent papers and preprints
• Other publications
• Books
• Edited books
• Computer programs

Recent papers and preprints

• Strange duality of weighted homogeneous polynomials
  (W. Ebeling, A. Takahashi)
  [Article at Mathematics ArXiv]
• Lifts of projective congruence groups
  (I. Kiming, M. Schütt, H. Verrill)
  [Article at Mathematics ArXiv]
• Quintic surfaces with maximal and other Picard numbers
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Cohomology of the moduli space of smooth plane quartic curves with an odd theta characteristic
  (O. Tommasi)
  [Article at Mathematics ArXiv]
• Arithmetic of singular Enriques Surfaces
  (K. Hulek, M. Schütt)
  [Article at Mathematics ArXiv]
• Calabi-Yau manifolds and generic Hodge groups
  (J. C. Rohde)
  [Article at Mathematics ArXiv]
• K3 surfaces of Picard rank 20 over Q
  Algebra & Number Theory 4 (2010), no. 3, 335-356.
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Enriques Surfaces and jacobian elliptic K3 surfaces
  To appear: Math. Z.
  (K. Hulek, M. Schütt)
  [Article at Mathematics ArXiv]
• The cone conjecture for some rational elliptic threefolds
  (A. Prendergast-Smith)
  [Article at Mathematics ArXiv]
• The modularity of K3 surfaces with non-symplectic group actions
  To appear: Math. Ann.
  (R. Livné, M. Schütt, N. Yui)
  [Article at Mathematics ArXiv]
• Non-liftable Calabi-Yau spaces
  (S. Cynk, M. Schütt)
  [Article at Mathematics ArXiv]
• The Néron component series of an abelian variety
  (L. H. Halle, J. Nicaise)
  [Article at Mathematics ArXiv]
• Lines on Fermat surfaces
  (M. Schütt, T. Shioda, R. van Luijk)
  [Article at Mathematics ArXiv]
• K3 surfaces with non-symplectic automorphism of 2-power order
  To appear: J. Algebra 323 (2010), 206-223
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Elliptic Surfaces
  (M. Schütt, T. Shioda)
  [Article at Mathematics ArXiv]
• Multi-variable Poincaré series associated with Newton diagrams
  Journal of Singularities 1 (2010), 60-68
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• Rationality of moduli spaces of plane curves of small degree
  (C. Böhning, H.-Ch. Graf v. Bothmer, J. Kröker)
  [Article at Mathematics ArXiv]
• Poincaré series and Coxeter functors for Fuchsian singularities
  (W. Ebeling, D. Ploog)
  [Article at Mathematics ArXiv]
• Maximal automorphisms of Calabi-Yau manifolds versus maximally unipotent monodromy
  To appear: Manuscripta Math. (DOI 10.1007/s00229-009-0329-5)
  (J. C. Rohde)
  [Article at Mathematics ArXiv]
• Motivic zeta functions of abelian varieties, and the monodromy conjecture
  (L. H. Halle, J. Nicaise)
  [Article at Mathematics ArXiv]
• Focal values of plane cubic centers
  (H.-Ch. Graf v. Bothmer, J. Kröker)
  [Article at Mathematics ArXiv]
• Postnikov-Stability versus Semistability of Sheaves
  (G. Hein, D. Ploog)
  [Article at Mathematics ArXiv]
• A different method to calculate the rank of an elliptic threefold
  To appear: Rocky Mountain J. Math.
  (R. Kloosterman)
  [Article at Mathematics ArXiv]
• On the classification of degree 1 elliptic threefolds with constant j-invariant
  (R. Kloosterman)
  [Article at Mathematics ArXiv]
• Point counting on singular hypersurfaces
  In: Proceedings of the Eighth Algorithmic Number Theory Symposium (ANTS-VIII). Lecture Notes in Computer Science (LNCS) 5011, Springer Verlag, 2008, 327-341
  (R. Kloosterman)
  
• A Modified Coefficient Ideal for Use with the Strict Transform
  (A. Frühbis-Krüger)
  [Article at Mathematics ArXiv]
• On the Debarre-de Jong and Beheshti-Starr conjectures on hypersurfaces with too many lines
  To appear: Michigan Mathematical Journal
  (J. M. Landsberg, O. Tommasi)
  [Article at Mathematics ArXiv]
• Abelianisation of orthogonal groups and the fundamental group of modular varieties
  J. Algebra 322 (2009), 463-478
  MPI Bonn Preprint MPIM2008-114
  (V. Gritsenko, K. Hulek, G.K. Sankaran)
  [Article at Mathematics ArXiv]
• McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities
  To appear: Math. Ann.
  (W. Ebeling, D. Ploog)
  [Article at Mathematics ArXiv]
• Simple Cohen-Macaulay Codimension 2 Singularities
  Comm. in Algebra 38 Issue 2 (2010), 454-495
  (A. Frühbis-Krüger, A. Neumer)
  [Article at Mathematics ArXiv]
• Poincaré series and monodromy of the simple and unimodal boundary singularities
  Proc. Steklov Inst. Math. 267 (2009), 50-58
  (W. Ebeling)
  [Article at Mathematics ArXiv]
• Cohomology of the toroidal compactification of $A$₃
  To appear: In: Proceedings of the Conference in honour of S. Ramanan, Contemp. Math.
  (K. Hulek, O. Tommasi)
  [Article at Mathematics ArXiv]
• Finite field experiments
  In: Higher-Dimensional Geometry over Finite Fields. Nato Science for Peace and Security Series, Vol. 16, 2008, 1-62
  (H.-Ch. Graf v. Bothmer)
  [Article at Mathematics ArXiv]
• Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces
  To appear: Annales de l'Institut Fourier
  (K. Hulek, R. Kloosterman)
  [Article at Mathematics ArXiv]
• On indices of 1-forms on determinantal singularities
  Proc. Steklov Inst. Math. 267 (2009), 113-124.
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• A finiteness result for Siegel modular threefolds
  (C. Erdenberger)
  [PDF]
  
• The Kodaira dimension of the moduli space of Prym varieties
  To appear: J. Eur. Math. Soc. (JEMS)
  (F. Farkas, K. Ludwig)
  [Article at Mathematics ArXiv]
• Rationality of the moduli spaces of plane curves of sufficiently large degree
  (C. Böhning, H.-Ch. Graf v. Bothmer)
  [Article at Mathematics ArXiv]
• K3 surfaces of Picard rank one and degree two
  In: Proceedings of the Eighth Algorithmic Number Theory Symposium (ANTS-VIII). Lecture Notes in Computer Science (LNCS) 5011, Springer Verlag, 2008
  (A.-S. Elsenhans, J. Jahnel)
  
• New sums of three cubes
  To appear: Math. Comp.
  [PDF]
  (A.-S. Elsenhans, J. Jahnel)
  
• Moduli spaces of irreducible symplectic manifolds
  Compos. Math. 146 (2010), no. 2, 404-434
  MPI Preprint 2008-20
  (V. Gritsenko, K. Hulek, G.K. Sankaran)
  [Article at Mathematics ArXiv]
• Some Remarks on Blowing-Ups in a Computer Algebra System
  Computer Science Journal of Moldova 16 (2008), no. 1(46), 15-34
  (A. Frühbis-Krüger)
  
• E quivariant autoequivalences for finite group actions
  Adv. Math. 216 (2007), no. 1, 62-74
  (D. Ploog)
  
• Generalised Kummer constructions and Weil restrictions
  (S. Cynk, M. Schütt)
  [Article at Mathematics ArXiv]
• Subbundles of symplectic and orthogonal vector bundles over curves
  Math. Nachr. 280 (2007), no. 13-14, 1510-1517
  (G. H. Hitching)
  
• Rational cohomology of $M$_3,2
  Compos. Math. 143 (2007), no. 4, 986-1002
  (O. Tommasi)
  
• On the geometry of the moduli space of spin curves
  To appear: J. Algebraic Geom.
  (K. Ludwig)
  [Article at Mathematics ArXiv]
• Some intersection numbers of divisors on toroidal compactifications of $A$_g
  J. Algebraic Geom. 19 (2010), 99-132
  (C. Erdenberger, S. Grushevsky, K. Hulek)
  [Article at Mathematics ArXiv]
• Quartic equations and 2-division on elliptic curves
  (G. H. Hitching)
  [Article at Mathematics ArXiv]
• Decoding of scroll codes
  In: Algebraic geometry and its applications. Proceedings of the first SAGA conference, Papeete, 2007, (James Hirschfeld et al., eds). Number Theory and Its Applications 5, World Scientific, 2008, 294-314
  (G. H. Hitching, T. Johnsen)
  [Article at Mathematics ArXiv]
• The rational cohomology of $M¯$₄
  Math. Ann. 338 (2007), no. 1, 207-239
  (J. Bergström, O. Tommasi)
  
• Elliptic K3 surfaces with geometric Mordell-Weil rank 15
  Canad. Math. Bull. 50 (2007), no. 2, 215-226
  (R. Kloosterman)
  
• The zeta function of monomial deformations of Fermat hypersurfaces
  Algebra & Number Theory 1 (2007), no. 4, 421-450
  (R. Kloosterman)
  [Article at Mathematics ArXiv]
• A general formula for the algebraic degree in semidefinite programming
  To appear: Bull. Lond. Math. Soc.
  (H.-Ch. Graf v. Bothmer, K. Ranestad)
  [Article at Mathematics ArXiv]
• Low-dimensional Singularities with Free Divisors as Discriminants
  J. Algebraic Geom. 18 (2009), 371-406
  (R.-O. Buchweitz, W. Ebeling, H.-Ch. Graf v. Bothmer)
  [Article at Mathematics ArXiv]
• An interesting elliptic surface over an elliptic curve
  Proj. Japan Acad. Ser. A Math. Sci. 83 (2007), no. 3, 40-45
  (T. Shioda, M. Schütt)
  [Article at Mathematics ArXiv]
• Geometry of vector bundle extensions and applications to the generalised theta divisor
  (G. H. Hitching)
  [Article at Mathematics ArXiv]
• De Cirkel van Benford
  Euclides, Oktober 2006.
  (J. Spandaw)
  
• Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type
  Doc. Math. 13 (2008), 1-19
  (V. Gritsenko, K. Hulek, G.K. Sankaran)
  [Article at Mathematics ArXiv]
• Classification of all Jacobian elliptic fibrations on certain K3 surfaces
  J. Math. Soc. Japan Vol. 58 665-680 (2006)
  (R. Kloosterman)
  
• Arithmetic mirror symmetry for a two-parameter family of Calabi-Yau manifolds
  In: Mirror Symmetry V. Proceedings of the BIRS Workshop, Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003, (Noriko Yui et al., eds). AMS/IP Studies in Advanced Mathematics 38, American Mathematical Society, Providence, RI, 2006, 35-86
  (S. Kadir)
  
• On Davenport-Stothers inequalities and elliptic surfaces in positive characteristic
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Indices of collections of 1-forms
  In: Singularities in Geometry and Topology. Proceedings of the Trieste Singularity Summer School and Workshop 2005 (J.-P. Brasselet et al., eds.), World Scientific, Singapore 2007, pp. 629-639
  (W. Ebeling, S. M. Gusein-Zade)
  
• Lectures on monodromy
  In: Singularities in Geometry and Topology. Proceedings of the Trieste Singularity Summer School and Workshop 2005 (J.-P. Brasselet et al., eds.), World Scientific, Singapore 2007, pp. 234-252
  (W. Ebeling, S. M. Gusein-Zade)
  
• The Kodaira dimension of the moduli of K3 surfaces
  Invent. Math. 169 (2007), 519-567
  (V. Gritsenko, K. Hulek, G. K. Sankaran)
  [Article at Mathematics ArXiv]
• Motives and mirror symmetry for Calabi-Yau orbifolds
  In: Modular Forms and String Duality. (N. Yui, H. Verrill and C. F .Doran, eds.) Fields Institute Communications 54, 2008
  (S. Kadir, N. Yui)
  [Article at Mathematics ArXiv]
• Moduli of rank 4 symplectic bundles over a curve of genus 2
  J. Lond. Math. Soc. (2) 75 (2007), no. 1, 255-272
  (G. H. Hitching)
  [Article at Mathematics ArXiv]
• The index of $\Gamma (d$₁,d₂) in $Sp(4,$Z)
  Appendix to Y.-H. Chen, Y. Yang, N. Yui, Monodromy of Picard-Fuchs differential equations for Calabi-Yau threefolds. J. Reine Angew. Math. 616 (2008), 167-203
  (C. Erdenberger)
  [Article at Mathematics ArXiv]
• Arithmetic of a singular K3 surface
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Riemann Surfaces
  In: Encyclopedia of Mathematical Physics, Eds. Jean-Pierre Françoise, Greg Naber, Tsou Sheung Tsun, Elsevier 419-429 (2006)
  (K. Hulek)
  
• The Casas-Alvero conjecture for infinitely many degrees
  J. Algebra 316, no. 1 (2007), 224-230
  (H.-Ch. Graf v. Bothmer, O. Labs, J. Schicho, Ch. van de Woestijne)
  [Article at Mathematics ArXiv]
• Rank four symplectic bundles without theta divisors over a curve of genus two
  Internat. J. Math. 19 (4) (2008), 387-420
  (G. H. Hitching)
  [Article at Mathematics ArXiv]
• The p-part of Tate-Shafarevich groups can be arbitrarily large
  J. Théor. Nombres Bordeaux 17 (2005), 787-800
  (R. Kloosterman)
  [Article at Mathematics ArXiv]
• Classification of rational surfaces of degree 11 and sectional genus 11 in P$4$
  To appear: Math. Scand.
  (H.-Ch. Graf v. Bothmer, K. Ranestad)
  [Article at Mathematics ArXiv]
• An algebraic formula for the index of a vector field on an isolated complete intersection singularity
  Annales de l'Institut Fourier, Vol. 58, no. 5 (2008), 1761-1783
  (H.-Ch. Graf v. Bothmer, W. Ebeling, X. Gomez-Mont)
  [Article at Mathematics ArXiv]
• Indices of vector fields and 1-forms on singular varieties
  In: Global Aspects of Complex Geometry (F. Catanese et al., eds.), Springer-Verlag 2006, 129-169
  (W. Ebeling, S. Gusein-Zade)
  [Article at Mathematics ArXiv]
• Higher Noether-Lefschetz loci of elliptic surfaces
  J. Differential Geom. 76 (2007), no. 2, 293-316
  (R. Kloosterman)
  [Article at Mathematics ArXiv]
• Modularity of Calabi-Yau varieties
  Global Aspects of Complex Geometry, Springer Verlag 2006 (F. Catanese, H. Esnault, A. Huckleberry, K. Hulek and T. Peternell, eds.), 271-309.
  (K. Hulek, R. Kloosterman, M. Schütt)
  [Article at Mathematics ArXiv]
• The L-series of a cubic fourfold
  Manuscripta Math. 124 (2007), no. 3, 391-407
  (K. Hulek, R. Kloosterman)
  [Article at Mathematics ArXiv]
• The Hirzebruch-Mumford volume for the orthogonal group and applications
  Documenta Math. 12 (2007), 215-241
  (V. Gritsenko, K. Hulek, G.K. Sankaran)
  [Article at Mathematics ArXiv]
• Locally trivial families of hyperelliptic curves: the geometry of the Weierstraß scheme
  Indag. Math., New Ser. 16 (2005), 215-223
  (R. Kloosterman, O. Tommasi)
  
• Explicit sections on Kuwata's elliptic surfaces
  Comment. Math. Univ. St. Pauli 54 (2005), 69-86
  (R. Kloosterman)
  
• A new model for the theta divisor of the cubic threefold
  Le Matematiche, 48 (2003), 201-236
  (M. Artebani, R. Kloosterman, M. Pacini)
  
• CM newforms with rational coefficients
  Ramanujan Journal 19 (2009), 187-205
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Arithmetic of the [19,1,1,1,1,1] fibration
  Comment. Math. Univ. St. Pauli 55, 1 (2006), 9-16
  (M. Schütt, J. Top)
  [Article at Mathematics ArXiv]
• The maximal singular fibres of elliptic K3 surfaces
  Archiv der Mathematik 79, 4 (2006), 309-319
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Construction and examples of higher-dimensional modular Calabi-Yau manifolds
  Canad. Math. Bull. 50 (2007), no. 4, 486-503
  (S. Cynk, K. Hulek)
  [Article at Mathematics ArXiv]
• Almost Regular Bundles on del Pezzo Fibrations
  (K. Aker)
  [Article at Mathematics ArXiv]
• Geometry and arithmetic of certain double octic Calabi-Yau manifolds
  Canad. Math. Bull. 48 (2005), no. 2, 180-194
  (S. Cynk, C. Meyer)
  [Article at Mathematics ArXiv]
• Monodromy
  In: Singularities and Computer Algebra (Ch. Lossen, G. Prister, eds.), London Math. Soc. Lecture Note Series 324, Cambridge University Press 2006, 129-155
  (W. Ebeling)
  [Article at Mathematics ArXiv]
• Coxeter-Dynkin diagrams of some space curve singularities
  Manuscripta Math. 116 (2005), no. 4, 475-491
  (C. Alpert)
  
• Mirror symmetry, Kobayashi's duality, and Saito's duality
  Kodai Math. J. 29 (2006), 319-336
  (W. Ebeling)
  [Article at Mathematics ArXiv]
• On the motive of Kummer varieties associated to $\Gamma$₁(7) - Supplement to the paper: The modularity of certain non-rigid Calabi-Yau threefolds (by R. Livné and N. Yui)
  J. Math. Kyoto Univ., 45-4 (2005), 667-681
  (K. Hulek, H. Verrill)
  [Article at Mathematics ArXiv]
• Modularity of some non-rigid double octic Calabi-Yau threefolds
  (S. Cynk, C. Meyer)
  [Article at Mathematics ArXiv]
• Experimental results for the Poincaré center problem (including an appendix with Martin Cremer)
  NoDEA, Volume 14, no. 5-6 / December 2007
  (H-Ch. Graf v. Bothmer)
  [Article at Mathematics ArXiv]
• Modular Calabi-Yau threefolds of level eight
  Internat. J. Math. 18 (2007), no. 3, 331-347
  (S. Cynk, C. Meyer)
  [Article at Mathematics ArXiv]
• Chern obstructions for collections of 1-forms on singular varieties
  In: Singularity Theory. Proceedings of the 2005 Marseille Singularity School and Conference (D. Chéniot et al., eds), World Scientific, Singapore 2007, pp. 557-564
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• Quadratic forms for a 1-form on an isolated complete intersection singularity
  Math. Z. 252 (2006), 755-766.
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• Intersection theory of toroidal compactifications of $A$₄
  Bull. London Math. Soc. 38 (2006), no. 3, 396-400
  (C. Erdenberger, S. Grushevsky, K. Hulek)
  [Article at Mathematics ArXiv]
• On the modularity of Calabi-Yau threefolds containing elliptic surfaces (with an appendix by L. Dieulefait)
  In: Mirror Symmetry V: Proceedings of the BIRS Workshop, Calabi-Yau Varieties and Mirror Symmetry, December 6-11, 2003, (Noriko Yui et al., eds). AMS/IP Studies in Advanced Mathematics 38, American Mathematical Society, Providence, RI, 2006, 19-34
  (K. Hulek, H. Verrill)
  [Article at Mathematics ArXiv]
• Braid monodromy of curve singularities of Brieskorn Pham type
  Preprint Universität Hannover
  (M. Lönne)
  [PDF]
  
• Braid monodromy of hypersurface singularities
  Habilitationsschrift Universität Hannover (2003)
  (M. Lönne)
  [PDF]
  [Article at Mathematics ArXiv]
• Elliptic fibrations of some extremal K3 surfaces
  Rocky Mountain J. Math. 37 (2007), no. 2, 609-652
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Small schemes and varieties of minimal degree
  Amer. J. Math. 128 (2006), 1363-1389
  (D. Eisenbud, M. Green, K. Hulek, S. Popescu)
  [Article at Mathematics ArXiv]
• Hurwitz stabilisers of some short redundant Artin systems for the braid group $Br$₃
  (M. Lönne)
  [Article at Mathematics ArXiv]
• On the modularity of three Calabi-Yau threefolds with bad reduction at 11
  Canad. Math. Bull. 49 (2), 2006, 296-312
  (M. Schütt)
  [Article at Mathematics ArXiv]
• The Kodaira dimension of Siegel modular varieties of genus 3 or higher
  Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.(8) 9 (2006), no. 3, 749-776
  (E. Schellhammer)
  [Article at Mathematics ArXiv]
• On the Tits building of paramodular groups
  Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.(8) 9 (2006), no. 3, 619-643
  (E. Schellhammer)
  [Article at Mathematics ArXiv]
• A new family of rational surfaces in $P4$
  J. Symbolic Comput. 39/1 (2005), 51-60
  (H-Ch. Graf v. Bothmer, C. Erdenberger, K. Ludwig)
  [Article at Mathematics ArXiv]
• A quick and dirty irreducibility Test for Multivariate Polynomials over $F$_q
  Experimental Mathematics, Vol. 14 (2005), No. 4, 415-422
  (H-Ch. Graf v. Bothmer, F.-O. Schreyer)
  [Article at Mathematics ArXiv]
• Generic syzygy schemes
  Journal of Pure and Applied Algebra, Volume 208, Issue 3, (2007), 867-876
  (H-Ch. Graf v. Bothmer)
  [Article at Mathematics ArXiv]
• Radial index and Euler obstruction of a 1-form on a singular variety
  Geometriae Dedicata 113, 231--241 (2005)
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• Restricting linear syzygies: algebra and geometry
  Compositio Math. 141 (2005) 1460-1478
  (D. Eisenbud, M. Green, K. Hulek, S. Popescu)
  [Article at Mathematics ArXiv]
• New examples of modular rigid Calabi-Yau threefolds
  Collect. Math. 55, 2 (2004), 219-228
  (M. Schütt)
  [Article at Mathematics ArXiv]
• Predicting critical crashes? A new restriction for the free variables
  Physica A, vol 320C, (2003) 539-547
  (H-Ch. Graf v. Bothmer, C. Meister)
  
• Scrollar Syzygies of general canonical curves with genus ≤ 8
  Trans. Amer. Math. Soc. 359 (2007), 465-488
  (H-Ch. Graf v. Bothmer)
  Title of the corresponding paper in the ArXiv: Geometric Syzygies of Mukai Varieties and General Canonical Curves
  [Article at Mathematics ArXiv]
• On bifurcation braid monodromy of elliptic fibrations
  Topology 45 (2006), 785-806
  (M. Lönne)
  [Article at Mathematics ArXiv]
• Monodromies and Poincaré series of quasihomogeneous complete intersections
  Abh. Math. Sem. Univ. Hamburg 74 (2004), 175-179
  Preprint 2003
  (W. Ebeling, S. M. Gusein-Zade)
  [PDF]
  
• On the arc filtration for the singularities of Arnold's lists
  Math. Proc. Cambridge Philos. Soc. 138 (2005), 307-314
  Preprint 2003
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• Last syzygies of 1-generic spaces
  Journal of Algebra 278 issue 1 (2004), 360-369
  (H-Ch. Graf v. Bothmer)
  [Article at Mathematics ArXiv]
• Homological index for 1-forms and a Milnor number for isolated singularities
  Int. J. Math. 15, No. 9, (2004) 895--905
  (W. Ebeling, S. M. Gusein-Zade, J. Seade)
  [Article at Mathematics ArXiv]
• Projective normality of abelian surfaces of type (1,2d)
  Manuscripta Math.114 (2004), no. 3, 385-390
  (L. Fuentes-Garcia)
  [Article at Mathematics ArXiv]
• The Kodaira dimension of certain moduli spaces of abelian surfaces
  Mathematische Nachrichten 274-275 (2004), 32-39
  (C. Erdenberger)
  [Article at Mathematics ArXiv]
• A note on Abelian varieties embedded in quadrics
  Rend. Sem. Mat. Univ. Padova 111 †(2004), 127--131
  (L. Fuentes-Garcia)
  [Article at Mathematics ArXiv]
• Geometric syzygies of elliptic normal curves and their secant varieties
  Manuscr. Math. 113 (2004), 35-68
  (H.-Ch. Graf v. Bothmer, K. Hulek)
  
• On the Intersection of two Veronese Surfaces
  In: Commutative algebra, singularities and computer algebra, Proceedings of the NATO advanced workshop, held in Sinaia, Romania 2002, J. Herzog, V. Vuletesco eds, Kluwer Verlag, 2003
  (D. Eisenbud, K. Hulek, S. Popescu)
  
• A Remark on the Schottky Locus in Genus 4
  Proceedings of the Fano Conference, eds. A. Collino, A. Conte and M. Marchiso, 479--483 (2004)
  (J. Harris, K. Hulek)
  [Article at Mathematics ArXiv]
• On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice $A$₄
  Nagoya Math. J. Vol. 179 (2005) 103-146
  (K. Hulek, H. Verrill)
  [Article at Mathematics ArXiv]
• Torische Varietäten und Calabi-Yau-Mannigfaltigkeiten
  (K. Ludwig)
  [PDF]
  
• Die Kodairadimension Siegelscher Modulvarietäten vom Geschlecht 2
  (C. Erdenberger)
  [PS]
  
• Indices of vector fields or 1-forms and characteristic numbers
  Bull. London Math. Soc. 37, 747-754 (2005)
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• A filtration defined by arcs on a variety
  Uspekhi Mat. Nauk, 61 (2006), no. 2, 163-164 (Russian), (Engl. translation in Russian Math. Surveys 61 (2006), no. 2, 353-355).
  (W. Ebeling, S. M. Gusein-Zade)
  [Article at Mathematics ArXiv]
• Noether-Lefschetz Theorems for Degeneracy Loci
  Memoires of the AMS 764 (2003)
  (J. Spandaw)
  Habilitation 2000, Universität Hannover
  
• The Moduli Space of Bilevel-6 Abelian Surfaces
  Nagoya Math. J. 168 (2002), 113-125
  (G.K. Sankaran, J. Spandaw)
  
• Dissecting cuboids into cuboids
  The American Mathematical Monthly (2003)
  (J. Spandaw)
  
• Significance of log-periodic signatures in cumulative noise
  Quantitative Finance 3 Vol. 5 (2003) 370-375
  (H-C. Graf v. Bothmer)
  [Article at ArXiv]
• Real and complex indices of vector fields on complete intersection curves with isolated singularity
  Compositio Mathematica 141 (2005), no. 2, 525-540
  (O. Klehn)
  [Article at Mathematics ArXiv]
• An extension of the level-2 paramodular group, and the Barth-Nieto quintic
  Manuscr. Math. 112 (2003), 21-27
  (M. Friedland)
  
• Poincaré series and zeta function of the monodromy of a quasihomogeneous singularity
  Math. Res. Lett. 9 (2002), 509-513
  (W. Ebeling, S. M. Gusein-Zade)
  [PS]
  
• Modulräme $(1,p)$-polarisierter abelscher Varietäten mit Level-2 Struktur
  Thesis Hannover, 2002
  (M. Friedland)
  
• On indices of meromorphic 1-forms
  Compositio Math. 140 (2004), 809-817
  (W. Ebeling, S. M. Gusein-Zade)
  [PS]
  
• Transportable modular symbols and the intersection pairing
  Proceedings of the fifth Algorithmic Number Theory, Symposium, 2002.
  (H. Verrill)
  [PS]
  
• Indices of 1-forms on an isolated complete intersection singularity
  Mosc. Math. J. 3 (2003), 439-455
  (W. Ebeling, S. M. Gusein-Zade)
  
• Poincaré series and monodromy of a two-dimensional quasihomogeneous hypersurface singularity
  Manuscripta math. 107, 271-282 (2002)
  (W. Ebeling)
  
• The intermediate Jacobian of certain rigid Calabi-Yau threefolds
  Appendix to N. Yui, Update on the modularity of Calabi-Yau varieties. In: Calabi-Yau varieties and mirror symmetry (Toronto, ON, 2001), Fields Inst. Commun., 38, Amer. Math. Soc., Providence, RI, 2003, 307-362.
  (H. Verrill)
  
• On the index of a holomorphic 1-form on an isolated complete intersection singularity
  Doklady Akad. Nauk 380, 458-461 (2001)
  (W. Ebeling, S. M. Gusein-Zade)
  (Engl. translation in Doklady Mathematics 64, 221-224 (2001))
  
• Cuspidal modular symbols are transportable
  LMS J. Comput. Math. 4 (2001), 170-181
  (H. Verrill, W. A. Stein)
  [Page of LMS]
  
• The nef cone of toroidal compactifications of $A$₄
  Proc. London Math. Soc. (3) 88 (2004), 659-704
  (K. Hulek, G. K. Sankaran)
  
• On the index of a vector field tangent to a hypersurface with non-isolated zero in the embedding space
  Math. Nachr. 260 (2003) 48-57
  (O. Klehn)
  
• Fundamental domains for Shimura curves
  J. Théor. Nombres Bordeaux 15 (2003), no. 1, 205-222
  Les XXIIèmes Journées Arithmétiques, 2001
  (H. Verrill, D. Kohel)
  
• Local residues of holomorphic 1-forms on an isolated surface singularity
  manuscripta math. 109, 93-108 (2002)
  (O. Klehn)
  [Article at Mathematics ArXiv]
• A bound on the irregularity of abelian scrolls in projective space
  Complex Geometry. Collection of papers dedicated to H. Grauert. Eds. I. Brauer et al. Springer Verlag (2001), 85-92
  (C. Ciliberto, K. Hulek)
  [Article at Mathematics ArXiv]
• Picard-Fuchs equations of some families of elliptic curves
  Proceedings of the CRM workshop on Moonshine, Montreal June 1999, CRM Proceedings and Lecture Notes Series, Vol 30, 2001.
  (H. Verrill)
  [PS.gz]
  
• Notes on toric varieties
  (H. Verrill, D. Joyner)
  [Article at Mathematics ArXiv]
• The movable cone of the Horrocks-Mumford quintic
  (M. Fryers)
  [Article at Mathematics ArXiv]
• Das Titsgebäude von Siegelschen Modulgruppen vom Geschlecht 2
  Abh. Math. Sem. Universität Hamburg 71 (2001)
  (M. Friedland, G. K. Sankaran)
  
• Counting Points on Calabi-Yau Threefolds - some computational aspects
  Proceedings of the Advanced Nato Research Workshop on Applications of Algebraic Geometry to Coding Theory, Physics and Computation. Eds. C. Ciliberto et al., Kluwer Academic Publishers, 195-205 (2001).
  (K. Hulek, J. Spandaw)
  
• The Modularity of the Barth-Nieto Quintic and its Relatives.
  Adv. in Geometry 1 (2001), 263-289
  (K. Hulek, J. Spandaw, B. van Geemen, D. van Straten)
  [Article at Mathematics ArXiv]
• Degenerations of Prym Varieties.
  Journal für die reine und angewandte Mathematik. 553 (2002), 73-116
  (V. Alexeev, Ch. Birkenhake, K. Hulek)
  
• Monodromy groups of irregular elliptic surfaces
  Compositio Math. 133 (2002), no. 1, 37-48. 14J27 (14D05)
  (M. Lönne)
  
• Monodromy groups of regular elliptic surfaces
  Math. Z. 239 (2002), no. 3, 441-453. 14J80 (14D05 14J27 57R50)
  (M. Lönne)
  
• The Poincaré series of some special quasihomogeneous surface singularities
  Publ. Res. Inst. Math. Sci. 39 (2003), 393-413
  (W. Ebeling)
  [Article at Mathematics ArXiv]
• Strange duality and polar duality
  J. London Math. Soc. (2) 61, 823-834 (2000)
  (W. Ebeling)
  
• The topological types of some irregular Kähler surfaces
  manuscripta mathematica 103 (2000), 455-464
  (M. Lönne)
  
• Das Ikosaeder.
  Jahrbuch 1999 der Braunschweigischen Wisenschaftlichen Gesellschaft, J.Cramer Verlag, Braunschweig (2000), 29-33
  (K. Hulek)
  
• Friedrich Hirzebruch and Mathematics in post-war Germany.
  In: The Founders of Index Theory. Edited by S.T.Yau, International Press 2004
  (K. Hulek)
  
• Igusa's Modular Form and the Classification of Siegel Modular Threefolds.
  In: Moduli of Abelian Varieties, Eds. C. Faber et al. Progress in Mathematics 195, 217-229 (2001), Birkhäuser Verlag.
  (K. Hulek)
  
• The Geometry of Siegel Modular Varieties.
  Advanced Studies in Pure Mathematics 35 (2002), Higher Dimensional Birational Geometry, 89-156
  (K. Hulek, G. K. Sankaran)
  [Article at Mathematics ArXiv]
• Abelian Surfaces with Two Plane Cubic Fibrations and Calabi-Yau Threefolds.
  In: Th. Peternell, F.-O. Schreyer (Eds.), Complex Analysis and Algebraic Geometry, de Gruyter (2000), 275-316
  (K. Hulek, K. Ranestad)
  
• The Modular Form of the Barth-Nieto Quintic.
  International Mathematics Research Notices 17 (1999), 915-937
  (V. Gritsenko, K. Hulek)
  
• A Series of Smooth Irregular Varieties in Projective Space.
  Annali Sc. Norm. Sup. di Pisa. Ser. IV, XXVIII (1999), 357-380
  (C. Ciliberto, K. Hulek)
  
• On the index of a vector field at an isolated singularity
  In: The Arnoldfest: Proceedings of a Conference in Honour of V. I. Arnold for his Sixtieth Birthday (E. Bierstone, B. Khesin, A. Khovanskii, J. Marsden, eds.), Fields Institute Communications 24, Am. Math. Soc., Providence 1999, pp. 141-152
  (W. Ebeling, S. M. Gusein-Zade)
  
• Degenerations of (1,3)-Abelian Surfaces and Kummer Surfaces.
  In: P. Pragacz, M. Szurek, J. Wisniewski (Eds.), Algebraic Geometry: Hirzebruch 70, AMS Contemporary Mathematics 241 (1999), 177-192
  (K. Hulek, I. Nieto, G. K. Sankaran)
  
• Heisenberg Invariant Kummer Surfaces.
  J. Edinb. Math. Soc. 43, 425-439 (2000)
  (K. Hulek, I. Nieto, G. K. Sankaran)
  
• Nef Divisors on Moduli Spaces of Abelian Varieties.
  In: Th. Peternell, F.-O. Schreyer (Eds.), Complex Analysis and Algebraic Geometry, de Gruyter, 255-274 (2000)
  (K. Hulek)
  
• A Remark on the Geometry of Elliptic Scrolls and Bielliptic Surfaces
  manuscripta math. 95, 231-224 (1998)
  (C. Ciliberto, K. Hulek)
  
• Commutator Coverings of Siegel Modular Threefolds
  Duke Math. J. 94, 509-542 (1998)
  (V. Gritsenko, K. Hulek)
  
• Einbettungen von Kurven und Flächen
  Vortrag anläßlich der Jahrestagung der BWG 1996. Braunschweigische Wissenschaftliche Gesellschaft. Jahrbuch 1996, 142-151 (1997)
  (K. Hulek)
  
• Embeddings of Curves and Surfaces.
  Nagoya Math. J. 154, 185-220 (1999)
  (F. Catanese, M. Franciosi, K. Hulek, M. Reid)
  
• Strange duality, mirror symmetry and the Leech lattice
  In: Singularity Theory, Proceedings of the European Singularities Conference, Liverpool 1996 (J.W. Bruce, D. Mond, eds.), London Math. Soc. Lecture Note Ser. 263, Cambridge University Press, Cambridge 1999, pp. 55-77
  (W. Ebeling)
  

  Top

Other publications

• Henri Cartan, ein französicher Freund
  Jahresbericht der DMV 111, 85-94 (2009)
  (K. Hulek, T. Peternell)
  
• Robuste Silberscheiben
  Unimagazin, Leibniz Universität Hannover, 1-2/2008, 36-39
  (W. Ebeling, A. Frühbis-Krüger, K. Hulek)
  
• Entwicklung und Perspektiven des Jahresberichts der DMV
  Sonderheft 2008, Jahresber. Deutsch. Math.-Verein, S 3-7.
  (K. Hulek)
  
• Die Entstehung der Infinitesimalrechnung und der Prioritätsstreit mit Newton
  Unimagazin, Leibniz Universität Hannover, 3-4/2006, 46-49
  (K. Hulek, W. Ebeling)
  
• Von wegen rund
  Unimagazin, Leibniz Universität Hannover, 1-2/2006, 68-70
  (W. Ebeling)
  
• "Horst Tietz Fund" für Oberwolfach aus der Taufe gehoben
  DMV-Mitteilungen 3, 54-55 (2001)
  (W. Ebeling)
  

  Top

Books

• Functions of Several Complex Variables and Their Singularities
  Graduate Studies in Mathematics, Vol. 83. American Mathematical Society, Providence, RI, 2007.
  (W. Ebeling)
  [see also http://www.ams.org/bookpages/gsm-83/]
  
• Compact Complex Surfaces (2nd enlarged edition)
  Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Volume 4. Springer Verlag, Berlin, 2004
  (W. Barth, K. Hulek, C. Peters, A. van de Ven)
  
• Elementary Algebraic Geometry
  AMS Student Mathematical Library, Vol. 20, 2003
  (K. Hulek)
  [translated and revised version of the German book of 2000] (Corrections: [PDF])
  
• Lattices and Codes (2nd Revised Edition)
  Vieweg Wiesbaden Braunschweig, 2002
  (W. Ebeling)
  [see also the pages of the Vieweg Verlag]
  
• Funktionentheorie, Differentialtopologie und Singularitäten
  Vieweg Wiesbaden Braunschweig, 2001
  (W. Ebeling)
  [see also the pages of the Vieweg Verlag]
  
• Elementare Algebraische Geometrie
  Aufbaustudium Mathematik, Vieweg Verlag, Wiesbaden 2000.
  (K. Hulek)
  (Corrections: [TeX| PDF])
  
• The Monodromy Groups of Isolated Singularities of Complete Intersections
  Lecture Notes in Mathematics, Vol. 1293, Springer Verlag, Berlin Heidelberg New York London Paris Tokyo, 1987
  (W. Ebeling)
  

  Top

Edited books

• Global Aspects of Complex Geometry
  Springer Verlag 2006
  (F. Catanese, H. Esnault, A. Huckleberry, K. Hulek, T. Peternell)
  
• New Trends in Algebraic Geometry
  Proceedings of the Euroconference Warwick 1996. LMS Lecture Notes Series 264, Cambridge University Press 1999
  (F. Catanese, K. Hulek, C. Peters and M. Reid)
  
• Abelian Varieties
  Proceedings of the Egloffstein Conference. De Gruyter Verlag, Berlin 1995
  (W. Barth, K. Hulek, H. Lange)
  
• Complex Algebraic Varieties
  Proceedings Bayreuth 1990. Lecture Notes in Mathematics 1507. Springer 1992
  (K. Hulek, T. Peternell, F.-O. Schreyer, M. Schneider)
  

  Top

Computer programs

• Tetracount
  (M. Friedland)
  [Linux, glibc5]