Klaus Hulek

Institut für Algebraische Geometrie Raum: g315 Telefon: +49 0511 762-3205 Fax: +49 0511 762-5803 E-Mail: hulekmath.uni-hannover.de Homepage: http://www.iag.uni-hannover.de/~hulek/ Sprechzeiten: Montags: 10-11 Uhr Liste der Publikationen

Forschungsgebiet: Algebraische Geometrie

Artikel

Klaus Hulek, Roberto Laface (2017): On the Picard numbers of abelian varieties
arXiv: 1703.05882

S. Casalaina-Martin, S. Grushevsky, K. Hulek, R. Laza (2017): Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with an appendix by Mathieu Dutour Sikirić), J. Eur. Math. Soc. (JEMS) 19 (2017), no. 3, 659–723.
arXiv: 1403.1938

Samuel Grushevsky, Klaus Hulek, Orsola Tommasi (2017): Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties, erscheint in:  Proceedings in honour of Nigel Hitchin's 70th birthday, Oxford University Press
arXiv: 1702.06218

Thomas Bauer, Klaus Hulek, Slawomir Rams, Alessandra Sarti, Tomasz Szemberg (2017): Wolf Barth (1942--2016), erscheint in:  Jahresbericht der DMV
arXiv: 1704.07446

M. G. Gulbrandsen, L. H. Halle and K. Hulek (2016): A GIT construction of degenerations of Hilbert schemes of points
arXiv: 1604.00215

S. Grushevsky, K. Hulek (2016): The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g \leq 4$, erscheint in:  Math. Ann.
arXiv: 1603.02343

V. Gritsenko, K. Hulek (2016): Moduli of polarized Enriques surfaces, In: “K3 Surfaces and Their Moduli”, Progress in Math. 315, 55-72 (2016), Proceedings of the Schiermonnikoog Conference 2014, Birkhäuser

M. Dutour Sikiric, K. Hulek, A. Schürmann (2015): Smoothness and singularities of the perfect form compactification of A_g, Algebraic Geometry 2 (5) (2015), 642 -- 653
arXiv: 1303.5846

M.G. Gulbrandsen, L.H. Halle, K. Hulek (2015): A relative Hilbert-Mumford criterion, Manuscr. Math. Volume 148 (3) (2015), 283--301
arXiv: 1404.7267

S. Casalaina-Martin, S. Grushevsky, K. Hulek, R. Laza (2015): Complete moduli of cubic threefolds and their intermediate Jacobians
arXiv: 1510.08891

S. Grushevsky, R. Salvati Manni, K. Hulek (2014): The Prym map on divisors, and the slope of A_5, Int. Math. Res. Not. IMRN 2014, no. 24, 6645–6660
DOI: 10.1093/imrn/rnt181
arXiv: 1107.3094

V. Gritsenko, K. Hulek (2014): Uniruledness of orthogonal modular varieties, Journal of Algebraic Geometry, 711--725, Volume 23 (2014)
arXiv: 1202.3361

K. Hulek, D. Ploog (2013): Fourier-Mukai partners and polarised K3 surfaces, Proceedings of the conference "Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds", Eds. R. Laza, M. Schütt, N. Yui, Fields Institute Communications 67 (2013), 333-365
arXiv: 1206.4558

S. Grushevsky, K. Hulek (2013): Geometry of theta divisors - a survey, A Celebration of Algebraic Geometry: A conference in Honor of Joe Harris' 60th Birthday, Clay Mathematics Proceedings Vol 18 (2013), 361--390, AMS, Providence, RI
arXiv: 1204.2734

S. Grushevsky, K. Hulek, O. Tommasi (2013): Stable cohomology of the perfect cone toroidal compactification of the moduli space of abelian varieties, Erscheint in: Journal für die Reine Angewandte Mathematik
arXiv: 1307.4646

V. Gritsenko, K. Hulek, G.K. Sankaran (2013): Moduli spaces of K3 surfaces and holomorphic symplectic varieties, Handbook of Moduli (ed. G. Farkas and I. Morrison), vol. 1, Advanced Lect. in Math., IP, Somerville, MA, 2013, pp. 459-526
arXiv: 1012.4155

K. Hulek, M. Schütt (2012): Arithmetic of singular Enriques Surfaces, Algebra & Number Theory 6 (2012), no. 2, 195-230
arXiv: 1002.1598

K. Hulek, O. Tommasi (2012): Cohomology of the second Voronoi compactification of A₄, Doc. Math. 17 (2012), 195-244
arXiv: 1103.6169

S. Grushevsky, K. Hulek (2012): The class of the locus of intermediate Jacobians of cubic threefolds, Invent. Math. 190 (2012), No. 1, 119-168
arXiv: 1103.1857

K. Hulek, M. Schütt (2011): Enriques Surfaces and jacobian elliptic K3 surfaces, Math. Z. 268 (2011), no. 3-4, 1025-1056
arXiv: 0912.0608

K. Hulek, R. Kloosterman (2011): Calculating the Mordell-Weil rank of elliptic threefolds and the cohomology of singular hypersurfaces , Annales de l'Institut Fourier 61 (2011), 113-179
arXiv: 0806.2025

S. Grushevsky, K. Hulek (2011): Principally polarized semi-abelic varieties of small torus rank, and the Andreotti-Mayer loci, Pure Appl. Math. Q. 7 (2011), no.4, Special Issue: in memory of Eckart Viehweg, 1309-1360
arXiv: 1103.1858

V. Gritsenko, K. Hulek, G.K. Sankaran (2011): Moduli spaces of polarized symplectic O`Grady varieties and Borcherds products, J. Differential Geom. 88 (2011), 61-85
arXiv: 1005.4881

C. Erdenberger, S. Grushevsky, K. Hulek (2010): Some intersection numbers of divisors on toroidal compactifications of A_g, J. Algebraic Geom. 19 (2010), 99-132
arXiv: 0707.1274

K. Hulek, O. Tommasi (2010): Cohomology of the toroidal compactification of A_3, Proceedimgs of the Conference in honour of S. Ramanan, Contemp. Math. 522 (2010), 89-103
arXiv: 0807.4099

V. Gritsenko, K. Hulek, G.K. Sankaran (2010): Moduli spaces of irreducible symplectic manifolds, Compos. Math. 146 (2010), no. 2, 404-434
arXiv: 0802.2078

V. Gritsenko, K. Hulek, G.K. Sankaran (2009): Abelianisation of orthogonal groups and the fundamental group of modular varieties, J. Algebra 322 (2009), 463-478
arXiv: 0810.1614

V. Gritsenko, K. Hulek, G.K. Sankaran (2008): Hirzebruch-Mumford proportionality and locally symmetric varieties of orthogonal type, Doc. Math. 13 (2008), 1-19
arXiv: math.AG/0609774

K. Hulek, R. Kloosterman (2007): The L-series of a cubic fourfold, Manuscripta Math. 124 (2007), no. 3, 391-407
arXiv: math.AG/0601207

S. Cynk, K. Hulek (2007): Construction and examples of higher-dimensional modular Calabi-Yau manifolds, Canad. Math. Bull. 50 (2007), no. 4, 486-503
arXiv: math.AG/0509424

V. Gritsenko, K. Hulek, G. K. Sankaran (2007): The Kodaira dimension of the moduli of K3 surfaces, Invent. Math. 169 (2007), 519-567
arXiv: math.AG/0607339

V. Gritsenko, K. Hulek, G.K. Sankaran (2007): The Hirzebruch-Mumford volume for the orthogonal group and applications, Documenta Math. 12 (2007), 215-241
arXiv: math.NT/0512595

C. Erdenberger, S. Grushevsky, K. Hulek (2006): Intersection theory of toroidal compactifications of A₄, Bull. London Math. Soc. 38 (2006), no. 3, 396-400
arXiv: math.AG/0503017

D. Eisenbud, M. Green, K. Hulek, S. Popescu (2006): Small schemes and varieties of minimal degree, Amer. J. Math. 128 (2006), 1363-1389
arXiv: math.AG/0404517

K. Hulek (2006): Riemann Surfaces, In: Encyclopedia of Mathematical Physics, Eds. Jean-Pierre FranÇoise, Greg Naber, Tsou Sheung Tsun, Elsevier 419-429 (2006)

K. Hulek, H. Verrill (2006): 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
arXiv: math.AG/0502158

K. Hulek, R. Kloosterman, M. Schütt (2006): 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.
arXiv: math.AG/0601238

D. Eisenbud, M. Green, K. Hulek, S. Popescu (2005): Restricting linear syzygies: algebra and geometry, Compositio Math. 141 (2005) 1460-1478
arXiv: math/0404516

K. Hulek, H. Verrill (2005): On the motive of Kummer varieties associated to Γ 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
arXiv: math.AG/0506388

K. Hulek, H. Verrill (2005): On modularity of rigid and nonrigid Calabi-Yau varieties associated to the root lattice A₄, Nagoya Math. J. Vol. 179 (2005) 103-146
arXiv: math/0304169

H.-Ch. Graf v. Bothmer, K. Hulek (2004): Geometric syzygies of elliptic normal curves and their secant varieties, Manuscr. Math. 113 (2004), 35-68
arXiv: math/0304331

J. Harris, K. Hulek (2004): 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)
arXiv: math.AG/0301007

K. Hulek (2004): Friedrich Hirzebruch and Mathematics in post-war Germany., In: The Founders of Index Theory. Edited by S.T.Yau, International Press 2004

K. Hulek, G. K. Sankaran (2004): The nef cone of toroidal compactifications of A₄, Proc. London Math. Soc. (3) 88 (2004), 659-704
arXiv: math/0203238

D. Eisenbud, K. Hulek, S. Popescu (2003): A Note on the Intersection of two Veronese Surfaces, 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
arXiv: math/0302167

K. Hulek, G. K. Sankaran (2002): The Geometry of Siegel Modular Varieties., Advanced Studies in Pure Mathematics 35 (2002), Higher Dimensional Birational Geometry, 89-156, Special Volume of RIMS, Kyoto, eds. Y. Miyaoka and S. Mori
arXiv: math/9810153

V. Alexeev, Ch. Birkenhake, K. Hulek (2002): Degenerations of Prym Varieties., Journal für die reine und angewandte Mathematik. 553 (2002), 73-116
arXiv: math/0101241

C. Ciliberto, K. Hulek (2001): 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
arXiv: math.AG/0109022

K. Hulek (2001): 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.
arXiv: math/9911236

K. Hulek, J. Spandaw (2001): 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).  | Datei |

K. Hulek, J. Spandaw, B. van Geemen, D. van Straten (2001): The Modularity of the Barth-Nieto Quintic and its Relatives., Adv. in Geometry 1 (2001), 263-289
arXiv: math.AG/0010049

K. Hulek (2000): Das Ikosaeder., Jahrbuch 1999 der Braunschweigischen Wissenschaftlichen Gesellschaft, J.Cramer Verlag, Braunschweig (2000), 29-33

K. Hulek (2000): 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)
arXiv: alg-geom/9708016

K. Hulek, I. Nieto, G. K. Sankaran (2000): Heisenberg Invariant Kummer Surfaces., J. Edinb. Math. Soc. 43, 425-439 (2000)
arXiv: alg-geom/9712025

K. Hulek, K. Ranestad (2000): 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
arXiv: math/9810120

C. Ciliberto, K. Hulek (1999): A Series of Smooth Irregular Varieties in Projective Space., Annali Sc. Norm. Sup. di Pisa. Ser. IV, XXVIII (1999), 357-380
arXiv: math/9805115

F. Catanese, M. Franciosi, K. Hulek, M. Reid (1999): Embeddings of Curves and Surfaces., Nagoya Math. J. 154, 185-220 (1999)
arXiv: alg-geom/9607021

K. Hulek, I. Nieto, G. K. Sankaran (1999): 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
arXiv: alg-geom/9712026

V. Gritsenko, K. Hulek (1999): The Modular Form of the Barth-Nieto Quintic, International Mathematics Research Notices 17 (1999), 915-937
arXiv: math/9806011

C. Ciliberto, K. Hulek (1998): A Remark on the Geometry of Elliptic Scrolls and Bielliptic Surfaces, manuscripta math. 95, 231-224 (1998)
arXiv: alg-geom/9703009

V. Gritsenko, K. Hulek (1998): Commutator Coverings of Siegel Modular Threefolds, Duke Math. J. 94, 509-542 (1998)
arXiv: alg-geom/9702007

V. Gritsenko, K. Hulek (1998): Minimal Siegel Modular Threefolds, Math. Proc. Cambridge Philos. Soc., 123, 461-485 (1998)
arXiv: alg-geom/9506017

K. Hulek, A.Aure, W. Decker, K. Ranestad, S. Popescu (1997): Syzygies of Abelian and Bielliptic Surfaces in P⁴, International Journal of Mathematics 8, 849-919 (1997)
arXiv: alg-geom/9606013

K. Hulek, C. Ciliberto (1997): Appendix to the paper Syzygies of Abelian and Bielliptic Surfaces in P⁴, International Journal of Mathematics 8, 914-917 (1997)

K. Hulek, F. Catanese (1997): Rational surfaces in P⁴ with a plane curve, Annali di Matemaica Pura ed Applicata, 172, 229-256 (1997)
arXiv: alg-geom/9505021

K. Hulek (1996): Einbettungen von Kurven und Flächen, Vortrag anläßlich der Jahretagung der BWG 1996. Braunschweigische Wissenschaftliche Gesellschaft. Jahrbuch 1996, 142-151 (1997)

K. Hulek, J. Spandaw (1996): Degenerations of Abelian Surfaces and Hodge Structures, Proceedings of the Conference "Hirzebruch 65", Tel Aviv 1993, Contemp. Math., AMS, Israel Mathematical Conference Proceedings 9, 271-282 (1996)
arXiv: alg-geom/9404006

K. Hulek (1995): The Horrocks-Mumford Bundle, Vector Bundles in Algebraic Geometry. (Proceedings of the Durham Conferende) CUP 1995, 139-177

K. Hulek, G. K. Sankaran (1995): The Fundamental Group of Some Siegel Modula Threefolds, Abelian Varieties. Proceedings of the Egloffstein Conference 1993, 141-150, de Gruyter, Berlin 1995
arXiv: alg-geom/9401003

K. Hulek, V. Gritsenko (1995): Appendix to the Paper: Irationality of the Moduli Spaces of Abelian Surfacea, Abelian Varieties, Proceedings of the Egloffstein Conference 1993, 83.84, de Gruyter, Berlin 1995

K. Hulek, G.K. Sankaran (1994): The Kodaira Dimension of Certain Moduli Spaces of Abelian Surfaces, Compositio Mathematica, 90, 1-35 (1994)

K. Hulek, K. Paranjape, S. Ramanan (1994): On an Conjecture on Canonical Curves, Compositio Mathematica, 90 ,1-35 (1994)

K. Hulek, O.Debarre, J. Spandaw (1994): Very Ample Linear Systems on Abelian Varieties, Math. Ann. 300, 181-202 (1994)
arXiv: alg-geom/9306004

A. Aure, W. Decker, K. Hulek, K. Ranestad, J. Spandaw (1993): The Geometry of Bielliptic Surfaces in P⁴, International Journal of Mathematics, 4, 873-902 (1993)
arXiv: alg-geom/9301004

K. Hulek, C. Kahn, S. Weintraub (1993): Abelian Surfaces, Degeneration of Theta Functions and the Horrocks-Mumford Bundle, Geometry of Complex Projective Varieties (ed. A. Lanteri, M. Palleschi, D.C. Struppa) 165-189, Mediterranean Press, Rende 1993

K. Hulek, K. Paranjape, S. Ramanan (1992): On a Conjecture on Canonical Curves, Journal of Algebraic Geometry 1, 335-359 (1992)

K.Hulek, S. Katz, F.-O. Schreyer (1992): Cremona Transformations and Syzygies, Math.Z. 209, 419-443 (1992)

K. Hulek, A. Van de Ven (1991): Some Remarks Concerning Rank 2 Bundles and Chow Groups, Journ. f. d. Reine Angew. Math. 413, 68-77 (1991)

K. Hulek, C. Kahn, S. Weintraub (1991): Singularities of the Moduli Spaces of Certain Abelian Surfaces, Compositio Mathematica 79, 231-253 (1991)

K. Hulek (1990): Abelian Surfaces in Products of Projective Spaces, Proc. of the L´Aquila Conference 1988, LNM 1417, 129-137 (1990)

K. Hulek, S. Weintraub (1990): The Principal Degenerations of Polarized Abelian Surfaces, Math. Ann. 286, 281-307 (1990)

K. Hulek (1989): Elliptische Kurven, Abelsche Flächen und das Ikosaeder, Jahresbericht der DMV 91, 126-147 (1989)

K. Hulek, J. Le Potier (1989): Sur l'espace de modules des faisceaux semistables de rang 2, de classes de Chern (0,3) sur P_{2, Annales de l'Institut Fourier 39, 251-292 (1989)}

K. Hulek, S. Weintraub (1989): Bielliptic Abelian Surfaces, Math. Ann. 283, 411-429 (1989)

K.Hulek, H. Lange (1988): The Hilbert Modular Surface for the Ideal (5) and the Horrocks-Mumford Bundle, Math. Z. 198, 95-116 (1988)

K. Hulek (1987): Geometry of the Horrocks-Mumford Bundle, Proceedings of Symposium in Pure Math. 46, Part 2, 69-85 (1987)

W. Barth, K. Hulek, R. Moore (1987): Degenerations of Horrocks-Mumford surfaces, Math. Ann. 277, 735-755 (1987)

A. Hirschowitz, K. Hulek (1986): Complete Families of Stable Vector Bundles, Proceedings of the Göttingen Arbeitstagung 1985, SLN 1194, 19-33 (1986)

K. Hulek, C. Okonek, A. Van de Ven (1986): Multiplicity 2 Structures on Castelnuovo Surfaces, Ann. di Sc. Norm. Sup. di Pisa 13, 427-448 (1986)

W. Barth, K. Hulek, R. Moore (1986): Shioda's Modular Surface S(5) and the Horrocks-Mumford Bundle, Proceedings of the International Conferencee on Vector Bundles on Algebraic Varieties, Bombay 1984. Oxford University Press, 35-106 (1986)

K. Hulek (1985): Complete Intersection Curves, the Splitting of the Normal Bundle and the Veronese Surface, Proceedings of the Week of Algebraic Geometry, Sitges (1983), Springer LN 1124, 132-145 (1985)

K. Hulek, A. Van de Ven (1985): The Horrocks-Mumford Bundle and the Ferrand Construction, Manuscr. Math. 50, 313-335 (1985)

K. Hulek, H. Lange (1985): Some Examples of Abelian Surfaces in P₄, Journ. f. d. Reine Angew. Math. 363, 201-216 (1985)

K. Hulek, S. A. Stromme (1985): Appendix to the paper: Complete Families of Stable Vector Bundles, Proceedings of the Göttingen Arbeitstagung 1985, SLN 1194, 34-40 (1986)

W. Barth, K. Hulek (1985): Projective Models of Shioda Modular Surfaces, Manuscr. Math. 50, 73-132 (1985)

K. Hulek (1984): On the Normal Bundle of Space Curves, Seminario Especial de Topologia 5, 87-111 (1984) UNAM Mexico

J. Harris, K. Hulek (1983): On the Normal Bundle of Curves on Complete Intersection Surfaces, Math. Ann. 264, 129-135 (1983)

K. Hulek (1983): Projective Geometry of Elliptic Curves, Lecture Notes in Math. 997 228-266 (1983). (Proceedings of the Ravbello Conference on Open Problems in Algebraic Geometry)

K. Hulek, G. Sacchiero (1983): The Normal Bundle of Elliptic Space Curves, Arch. d. Math. 40, 61-68 (1983)

K. Hulek (1981): The Normal Bundle of a Curve on a Quadric, Math. Ann. 258, 201-206 (1981)

K. Hulek (1981): On the Deformation of Orthogonal Bundles over the Projective Line, Journ. f. d. Reine Angew. Math. 329, 52-57 (1981)

K. Hulek (1981): A Remark on Certain Matrix Varieties, Journ. of Linear and Multilinear Algebra 10, 169-172 (1981)

K. Hulek (1980): On the Classification of Stable Rank-r Vector Bundles over the Projective Plane, In: Progress of Math. 7, 133-146 (1980), Proceedings of the Nice Conference on Vector Bundles and Differential Equations

K. Hulek (1979): Stabile Rang-2 Vektorbündel auf P₂ mit ungerader erster Chernklasse, Dissertation Erlangen (1979)

K. Hulek (1979): Stable Rank-2 Vector Bundles on P₂ with c₁ odd, Math. Ann. 242, 241-266 (1979)

K. Hulek (1979): A Remark on Runge Approximation of Meromorphic Functions, Ann. Sc. Norm. Sup. di Pisa 6, 185-191 (1979)

W. Barth, K. Hulek (1978): Monads and Moduli of Vector Bundles, Manuscr. Math. 25, 323-347 (1978)

Populärwissenschaftliche Artikel

K. Hulek (2016): Editorial: zbMATH - Gedanken zur Zukunft, Mitteilungen der DMV 24, 140--143

K. Hulek (2016): zbMATH -- Looking to the Future, EMS Newsletter 12 (2016) , 3--7
DOI: 10.4171/NEWS/101/15

K. Hulek, T. Peternell (2009): Henri Cartan, ein französicher Freund, Jahresbericht der DMV 111, 85-94 (2009)

K. Hulek (2008): Entwicklung und Perspektiven des Jahresberichts der DMV, Sonderheft 2008, Jahresber. Deutsch. Math.-Verein, S 3-7.

W. Ebeling, A. Frühbis-Krüger, K. Hulek  (2008): Robuste Silberscheiben, Unimagazin, Leibniz Universität Hannover, 1-2/2008, 36-39

K. Hulek, W. Ebeling (2006): Die Entstehung der Infinitesimalrechnung und der Prioritätsstreit mit Newton, Unimagazin, Leibniz Universität Hannover, 3-4/2006, 46-49

Bücher

K. Hulek (2014): Elementary Algebraic Geometry. Übersetzung in das Chinesische., Student Mathematical Library, International Press, 2014.

K. Hulek (2012): Elementare Algebraische Geometrie, 2. Auflage, Springer Spektrum, Wiesbaden 2012

W. Barth, K. Hulek, C. Peters, A. van de Ven (2004): Compact Complex Surfaces (2nd enlarged edition), Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Volume 4. Springer Verlag, Berlin, 2004

K. Hulek (2003): Elementary Algebraic Geometry, AMS Student Mathematical Library, Vol. 20, 2003. Errata: http://www.ams.org/publications/authors/books/postpub/stml-20

K. Hulek, C. Kahn, S. H. Weintraub (1993): Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions, de Gruyter, Berlin 1993

K. Hulek (1986): Projective Geometry of Elliptic Curves, Astérisque Vol. 137 (1986)

Herausgegebene Bücher

W. Ebeling, K. Hulek, K. Smoczyk (2011): Complex and Differential Geometry, Conference Hannover 2009, Springer Proceedings in Mathematics 8, 2011

F. Catanese, H. Esnault, A. Huckleberry, K. Hulek, T. Peternell (2006): Global Aspects of Complex Geometry, Springer Verlag 2006

F. Catanese, K. Hulek, C. Peters and M. Reid (1999): New Trends in Algebraic Geometry, Proceedings of the Euroconference Warwick 1996. LMS Lecture Notes Series 264, Cambridge University Press 1999

W. Barth, K. Hulek, H. Lange (1995): Abelian Varieties, Proceedings of the Egloffstein Conference. De Gruyter Verlag, Berlin 1995

K. Hulek, T. Peternell, F.-O. Schreyer, M. Schneider (1992): Complex Algebraic Varieties, Proceedings Bayreuth 1990. Lecture Notes in Mathematics 1507. Springer 1992