Papers
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(2024): Non-algebraic geometrically trivial cohomology classes over finite fields, To appear in Advances in Mathematics
arXiv: 2206.12732 -
(2024): Two coniveau filtrations and algebraic equivalence over finite fields, To appear in Algebraic Geometry
arXiv: 2304.08560 -
(2024): Rigidity of modular morphisms via Fujita decomposition, To appear in Algebra & Number Theory.
arXiv: 2305.04525 -
(2024): On the rank of general linear series on stable curves, Math. Ann. 388, 2217–2240 (2024)
arXiv: 2005.12817 -
(2024): On the integral Hodge conjecture for real abelian threefolds, Journal für die reine und angewandte Mathematik (Crelles Journal), 2024.
arXiv: 2211.04061 -
(2024): Rational Points on Generic Marked Hypersurfaces, Math. Zeit. (2024) 306:49
DOI: 10.1007/s00209-023-03423-2
arXiv: 2309.12208 -
(2024): Truncated pushforwards and refined unramified cohomology, To appear in Advances in Mathematics
arXiv: 2406.07092 -
(2023): Refined unramified cohomology of schemes, Compositio Mathematica 159 (2023) 1466 - 1530.
DOI: 10.1112/S0010437X23007236
arXiv: 2010.05814 -
(2023): Extension Groups of Tautological Bundles on Punctual Quot Schemes of Curves, Beiträge zur Algebra und Geometrie 64 (2) (2023), 493-530.
DOI: 10.1007/s13366-022-00644-0
arXiv: 2305.17124 -
(2023): Sheaves of low rank in three dimensional projective space, European Journal of Mathematics. 9, 4, 103
arXiv: 2112.06260 -
(2023): Fields of definition of K3 surfaces with complex multiplication, Journal of number theory. 242, 436-470
DOI: 10.1016/j.jnt.2022.04.013
arXiv: 1907.01336 -
(2023): A compactification of the moduli space of multiple-spin curves, Geometriae Dedicata
DOI: https://doi.org/10.1007/s10711-023-00814-x
arXiv: 1701.02303 -
(2023): Families of stable sheaves: wrong-way fibers and noncommutative deformations, Hannover: Leibniz Universität Hannover. 148 S.
DOI: 10.15488/13171 -
(2023): Picard schemes of noncommutative bielliptic surfaces, Abh. Math. Semin. Univ. Hambg. 93, 61–70 (2023)
DOI: 10.1007/s12188-023-00265-x
arXiv: 2204.13646 -
(2023): Stability and certain P^n-functors, Res. Math. Sci. 10, 42 (2023)
DOI: 10.1007/s40687-023-00405-y
arXiv: 2206.04578 -
(2023): Singularities of normal quartic surfaces III (char=2, non-supersingular), Tunisian Journal of Mathematics. 5, 3, 457-478
DOI: 10.2140/tunis.2023.5.457
arXiv: 2206.03295 -
(2023): On extra-special Enriques surfaces, Mathematische Annalen. 387, 1-2, 133-143
DOI: https://doi.org/10.1007/s00208-022-02459-9
arXiv: 2201.05481 -
(2023): Compactified Jacobians as Mumford models, Transactions of the American Mathematical Society. 376, 7, 4605-4630
DOI: 10.1090/tran/8875
arXiv: 1912.03653 -
(2023): A Clifford inequality for semistable curves, Mathematische Zeitschrift (online first)
DOI: https://doi.org/10.1007/s00209-022-03173-7
arXiv: 2204.08234 -
(2023): On the Severi problem in arbitrary characteristic, Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques. 137, 1, 1-45
DOI: https://doi.org/10.1007/s10240-022-00135-x
arXiv: 2005.04134 -
(2023): Relative VGIT and an application to degenerations of Hilbert schemes, Michigan Math. J. 73 (2023), 67–96
DOI: doi:org/10.1307/mmj/20205898
arXiv: 1909.03780 -
(2023): Milnor K-Theory of p-Adic rings, Journal fur die Reine und Angewandte Mathematik. 2023, 796, 69-116
DOI: 10.1515/crelle-2022-0079
arXiv: 2101.01092 -
(2023): Moduli of polarized Enriques surfaces - computational aspects, J. London Math. Soc., 109 (2024): e12828
DOI: 10.1112/jlms.12828
arXiv: 2302.01679 -
(2023): Moduli of Gorenstein Q-homology projective planes, J. Math. Soc. Japan 75(1): 329-366
DOI: https://doi.org/10.2969/jmsj/87028702
arXiv: 1505.04163 -
(2023): Cohomology of the moduli space of degree two Enriques surfaces, Annali della Scuola normale superiore di Pisa - Classe di scienze. 24, 2, 839-878
DOI: 10.2422/2036-2145.202010_034
arXiv: 2008.06934 -
(2023): The diagonal of quartic fivefolds, Algebraic Geometry 10 (6) (2023) 754-778
DOI: 10.14231/AG-2023-027
arXiv: 2106.04539 -
(2023): Separation of periods of quartic surfaces, Algebra & number theory. 17, 10, 1753-1778
arXiv: 2011.12316 -
(2023): On the motive of O'Grady's six dimensional hyper-Kähler varieties, Épijournal de Géométrie Algébrique, Volume 7 (2023), Article no. 4
DOI: https://doi.org/10.46298/epiga.2022.9758
arXiv: 2203.16257 -
(2023): The birational geometry of moduli of cubic surfaces and cubic surfaces with a line, To appear: Moduli.
arXiv: 2312.15369 -
(2023): Non-isomorphic smooth compactifications of the moduli space of cubic surfaces, Nagoya Math. J. 254 (2024), 315 — 365.
DOI: 10.1017/nmj.2023.27
arXiv: 2207.03533 -
(2023): Cohomology of the moduli space of cubic threefolds and its smooth models, Memoirs of the AMS, Vol 282, Issue 1395
arXiv: 1904.08728 -
(2023): Heights on curves and limits of Hodge structures, Journal of the London Mathematical Society. 108, 1, 340-361
arXiv: 2206.01220 -
(2023): Computing heights via limits of Hodge structures, Experimental mathematics
DOI: 10.1080/10586458.2023.2188318
arXiv: 2208.00017 -
(2023): On the Brauer group of a generic Godeaux surface, J. London Math. Soc. 107 (2023), 1881-1899.
DOI: 10.1112/jlms.12727
arXiv: 2207.08042 -
(2023): On Bloch's map for torsion cycles over non-closed fields, Forum of Mathematics, Sigma (2023), Vol. 11:e53 1–21
DOI: 10.1017/fms.2023.51
arXiv: 2210.03201 -
(2023): Integral Fourier transforms and the integral Hodge conjecture for one-cycles on abelian varieties, Compositio Mathematica, 159 (2023), no. 6, 1188--1213.
arXiv: 2202.05230 -
(2023): Graded matrix factorizations of size two and reduction, Manuscripta Math. 170, 409-425 (2023)
DOI: 10.1007/s00229-022-01372-4
arXiv: 2101.05075 -
(2023): Indices of vector fields and 1-forms, Handbook of Geometry and Topology of Singularities, Volume IV, Springer, Cham, 2023, 251–305.
arXiv: 2107.01967 -
(2022): Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds, Rev. Mat. Iberoam. 38, No. 3, 1029-1050
arXiv: 2004.12643 -
(2022): Universal functors on symmetric quotient stacks of Abelian varieties, Selecta Mathematica. New Series
DOI: https://doi.org/10.1007/s00029-021-00740-4
arXiv: 1710.08618 -
(2022): Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points, Mathematische Nachrichten
DOI: https://doi.org/10.1002/mana.201900351
arXiv: 1808.05931 -
(2022): Smooth components on special iterated Hilbert schemes, Comptes Rendus Mathematique, Volume 360 (2022), pp. 425-429
arXiv: 2109.01112 -
(2022): Singularities of normal quartic surfaces II (char=2), Pure Appl. Math. Q. 18, No. 4, 1379-1420
arXiv: 2110.03078 -
(2022): Degeneration of curves on some polarized toric surfaces, Journal für die reine und angewandte Mathematik, no. 787, pp. 197-240
DOI: https://doi.org/10.1515/crelle-2022-0006
arXiv: 2012.06766 -
(2022): The Mori fan of the Dolgachev-Nikulin-Voisin family in genus 2, Épijournal Géom. Algébrique 6 (2022), Art. 2
DOI: 10.46298/epiga.2022.5971
arXiv: 1911.06862 -
(2022): Moduli of elliptic K3 surfaces: Monodromy and Shimada root lattice strata (with an appendix by Markus Kirschmer), Algebraic Geometry 9 (2) (2022) 159-213
DOI: 10.14231/AG-2022-006
arXiv: 2101.12689 -
(2022): Sixfolds of generalized Kummer type and K3 surfaces, Compositio Matematica (to appear)
arXiv: 2210.02948 -
(2022): On the cone of effective surfaces on $\overline{\mathcal A}_3$, Moscow Mathematical Journal Vol. 22 (4), 657-703
arXiv: 2007.02995 -
(2022): Punctual characterization of the unitary flat bundle of weight 1 PVHS and application to families of curves, Rend. Lincei Mat. Appl. 4, 729-755 (2022).
arXiv: 2101.03153 -
(2022): Mirror symmetry on levels of non-abelian Landau--Ginzburg orbifolds, J. Geom. Phys. 179 (2022) 104617
DOI: 10.1016/j.geomphys.2022.104617
arXiv: 2204.02069 -
(2021): Stability of some vector bundles on Hilbert schemes of points on K3 surfaces, Math. Z. (2021)
DOI: 10.1007/s00209-021-02920-6
arXiv: 2103.10328 -
(2021): Holomorphic one-forms without zeros on threefolds, Geometry & Topology 25 (2021), 409-444 | File |
arXiv: 1906.07606 -
(2021): Equality in the Miyaoka--Yau inequality in the non-general type case, J. reine angew. Math. 775 (2021), 87-115.
arXiv: 2003.14020 -
(2021): K3 Surfaces of zero entropy admitting an elliptic fibration with only irreducible fibers, J. Algebra
DOI: 10.1016/j.jalgebra.2021.08.005
arXiv: 1912.08583 -
(2021): The geometry of degenerations of Hilbert schemes of points, J. Algebr. Geom. 30 (2021), 1–56
DOI: 10.1090/jag/765
arXiv: 1802.00622 -
(2021): The Kodaira dimension of some moduli spaces of elliptic K3 surfaces, J. Lond. Math. Soc.
DOI: 10.1112/jlms.12430
arXiv: 2003.10957 -
(2021): The twisted forms of a semisimple group over an F_q – curve, Journal de Théorie des Nombres de Bordeaux (to appear)
arXiv: 1811.05723 -
(2021): Complete moduli of cubic threefolds and their intermediate Jacobians, Proc. London Math. Soc. (3), 122, 259 - 316 (2021)
DOI: 10.1112/plms.12375
arXiv: 1510.08891 -
(2021): Torsion orders of Fano hypersurfaces, Algebra & Number Theory 15 (2021), 241-270. | File |
arXiv: 1911.12271 -
(2021): Zeros of holomorphic one-forms and topology of Kähler manifolds, International Mathematics Research Notices, 2021, no. 8, 6169-6183 | File |
DOI: 10.1093/imrn/rnz323 -
(2021): K3 surfaces with 9 cusps in characteristic p, J. Pure Appl. Algebra 225 (2021), no. 4, 106558, 14 pp
arXiv: 1902.01579 -
(2021): Families of curves with Higgs field of arbitrarily large kernel, Bull. London Math. Soc.53 (2021) 493–506
DOI: 10.1112/blms.12437
arXiv: 1812.05891 -
(2021): Strange duality between the quadrangle complete intersection singularities, Arnold Mathematical Journal 7, 519-540 (2021)
DOI: 10.1007/s40598-021-00181-z
arXiv: 2102.08010 -
(2021): A version of the Berglund-Hübsch-Henningson duality with non-abelian groups, Int. Math. Res. Not. IMRN 2021, No. 16, 12305-12329 (2021)
DOI: 10.1093/imrn/rnz167
arXiv: 1807.04097 -
(2020): Bridgeland stability on threefolds: Some wall crossings, J. Algebraic Geom. 29 (2020), 247-283
arXiv: 1509.04608 -
(2020): Rank two sheaves with maximal third Chern character in three-dimensional projective space, Matemática Contemporânea, Vol. 47, Proceedings of the ICM 2018 Satellite conference "Moduli Spaces in Algebraic Geometry and Applications", 228-270 (2020)
arXiv: 1811.11951 -
(2020): Derived categories and the genus of space curves, Algebr. Geom., 7(2):153-191,2020
arXiv: 1801.02709 -
(2020): Examples of smooth components of moduli spaces of stable sheaves, Manuscripta Mathematica
arXiv: 1908.00368 -
(2020): The Euler number of hyper-Kähler manifolds of OG10 type, Matemática Contemporânea, Vol. 47, Proceedings of the ICM 2018 Satellite conference "Moduli Spaces in Algebraic Geometry and Applications", 151-170 (2020)
arXiv: 1902.00781 -
(2020): The construction problem for Hodge numbers modulo an integer in positive characteristic, Forum of Mathematics, Sigma | File |
DOI: 10.1017/fms.2020.48
arXiv: 2002.07733 -
(2020): Galois representations on the cohomology of hyper-Kähler varieties, to appear in Math. Z.
arXiv: 2007.01841 -
(2020): A strictly decreasing invariant for resolution of singularities in dimension two, Publ. Res. Inst. Math. Sci., Volume 56, Issue 2, 2020, pp. 217-280
DOI: 10.4171/PRIMS/56-2-1
arXiv: 1411.4452 -
(2020): Negative Sasakian structures on simply-connected 5-manifolds, Mathematical research letters. 29, 6, 1827-1857
DOI: 10.4310/MRL.2022.v29.n6.a9
arXiv: 2007.08597 -
(2020): Distinguished bases and monodromy of complex hypersurface singularities, Handbook of Geometry and Topology of Singularities I, (J.L. Cisneros Molina et al., eds.) Springer, Cham, 449-490, 2020
arXiv: 1905.12435 -
(2020): Lattices for Landau-Ginzburg orbifolds, Math. Z. 296 (2020), 639-659
DOI: 10.1007/s00209-019-02441-3
arXiv: 1809.06566 -
(2020): On the orbifold Euler characteristics of dual invertible polynomials with non-abelian symmetry groups, Pure Appl. Math. Q. 16, No. 4, 1099-1113, 2020
arXiv: 1811.05781 -
(2020): Dual invertible polynomials with permutation symmetries and the orbifold Euler characteristic, SIGMA 16 (2020), 051, 15 pages
arXiv: 1907.11421 -
(2019): A Reider-type theorem for higher syzygies on abelian surfaces, Algebraic Geometry 6 (5) 548–570 (2019)
DOI: 10.14231/AG-2019-025
arXiv: 1509.08621 -
(2019): Bridgeland Stability on Blow Ups and Counterexamples, Math. Z. 292 (2019), no. 3-4, 1495-1510
arXiv: 1708.08567 -
(2019): Higher syzygies on surfaces with numerically trivial canonical bundle , Mathematische Zeitschrift 293, no. 3-4, 1071–1084 (2019)
DOI: 10.1007/s00209-018-2220-0
arXiv: 1703.10203 -
(2019): The symplectic structure on the moduli space of line bundles on a noncommutative Azumaya surface, Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 60, 67-76 (2019)
DOI: 10.1007/s13366-018-0406-6
arXiv: 1511.03205 -
(2019): The cubo-cubic transformation and K3 surfaces, Results Math (2019) 74: 194
DOI: 10.1007/s00025-019-1124-6
arXiv: 1908.05548 -
(2019): On the Picard numbers of abelian varieties, Ann. Sc. Norm. Super. Pisa., Vol XIX (2019), 1199-1224.
arXiv: 1703.05882 -
(2019): A GIT construction of degenerations of Hilbert schemes of points, Doc. Math. 24, 421-472 (2019)
arXiv: 1604.00215 -
(2019): Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two , Épijournal Geom. Algébrique 3 (2019), Art. 10, 24 pp.
arXiv: 1703.10441 -
(2019): Multiplicities of jumping points for mixed multiplier ideals, Revista Matemática Complutense
DOI: 10.1007/s13163-019-00309-y.
arXiv: 1807.09839 -
(2019): The construction problem for Hodge numbers modulo an integer, Algebra & Number Theory | File |
DOI: 10.2140/ant.2019.13.2427
arXiv: 1903.05430 -
(2019): Invariance of Hironaka's characteristic polyhedron, Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM (special edition in honor of Felipe Cano) 113 (2019), no. 4, 4145-4169.
DOI: 10.1007/s13398-019-00672-x
arXiv: 1805.10660 -
(2019): On the rank of the flat unitary factor of the Hodge bundle, Transactions of the American Mathematical Society 372, 8663-8677 (2019).
DOI: DOI: 10.1090/tran/7868
arXiv: 1709.05670 -
(2018): CAS in der Hochschullehre - Ein Blick in die Praxis, Fachgruppe Didaktik der Mathematik der Universität Paderborn (Hrsg.) Beiträge zum Mathematikunterricht 2018 (S. 83 - 84). Münster: WTM-Verlag.
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(2018): Geometric aspects of Newton-Okounkov bodies , Phenomenological approach to algebraic geometry (Eds. J. Buczynski, S. Cynk, T. Szemberg) Banach Center Publications 116, Polish Academy of Sciences, Warsaw 2018
arXiv: 1703.09980 -
(2018): Local positivity of linear series on surfaces, Algebra & Number Theory, (2018) vol. 12, No. 1, page 1-34.
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(2018): On discriminants, Tjurina modifications and the geometry of determinantal singularities, Topology and its Applications 234, 375-396
DOI: 10.1016/j.topol.2017.11.010
arXiv: 1611.02625 -
(2018): Partial Local Resolution by Characteristic Zero Methods, Results Math (2018) 73: 48.
DOI: 10.1007/s00025-018-0808-7
arXiv: 1708.04784 -
(2018): Discriminants of stable rank two sheaves on some general type surfaces, Mathematical Research Letters
arXiv: 1812.02735 -
(2018): A polyhedral characterization of quasi-ordinary singularities , Moscow Math. J. 18 (2018), no. 4, 755-785.
DOI: 10.17323/1609-4514-2018-18-4-755-785.
arXiv: 1512.07507 -
(2018): A smoothness test for higher codimensions, Journal of Symbolic Computation Volume 86, 153--165, (2018)
DOI: 10.1016/j.jsc.2017.05.001
arXiv: 1602.04522 -
(2018): Massively parallel computations in algebraic geometry - not a contradiction, Computeralgebra Rundbrief 64
arXiv: 1811.06092 -
(2018): Preservation of semistability under Fourier-Mukai transforms, Geom. Dedicata., 193(1):89-119
DOI: 10.1007/s10711-017-0255-8 -
(2018): Duality spectral sequence for Weierstrass fibrations and applications, J. Geometry Phys., 123:362-371
DOI: 10.1016/j.geomphys.2017.09.016
arXiv: 1706.01923 -
(2018): The topology of $A_g$ and its compactifications, Proceedings of the Abel Symposium 2017, Jan Arthur Christophersen, Kristian Ranestad Eds. Springer Verlag, 135–193 (2018)
arXiv: 1712.03771 -
(2018): Xiao's conjecture for general fibred surfaces, Journal für die reine und angewandte Mathematik
DOI: 10.1515/crelle-2015-0080
arXiv: 1401.7502 -
(2018): On the rationality of quadric surface bundles, Annales de l'Institut Fourier | File |
DOI: 10.5802/aif.3399
arXiv: 1811.05271 -
(2018): An observation concerning the vanishing topology of certain isolated determinantal singularities, Mathematische Zeitschrift (2019) 291:1263–1293
DOI: https://doi.org/10.1007/s00209-018-2143-9 -
(2018): Cohomology of the moduli space of non-hyperelliptic genus four curves, Annales de l'Institut Fourier (accepted)
arXiv: 1812.03817 -
(2018): Families of elliptic curves in P^3 and Bridgeland Stability, Michigan Math. J. 67 (2018), no. 4, 787-813
arXiv: 1609.08184 -
(2018): Automorphisms of minimal entropy on supersingular K3 surfaces, J. London Math. Soc.
DOI: 10.1112/jlms.12109
arXiv: 1609.02716 -
(2018): The index of a 1-form on a real quotient singularity., Funktsional. Anal. i Prilozhen. 52, no. 2, 78-81 (2018) (English translation in Funct. Anal. Appl. 52, no. 2, 144-146 (2018))
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(2018): Stable Betti numbers of (partial) toroidal compactifications of the moduli space of abelian varieties, Proceedings in honour of Nigel Hicthin's 70th birthday, Oxford University Press. Eds. J. E. Andersen, A. Dancer and O. Garcia-Prada, Volume II, 581--610 (2018)
arXiv: 1702.06218 -
(2018): An algebraic formula for the index of a 1-form on a real quotient singularity, Math. Nachrichten 291, 2543-2556 (2018)
DOI: https://doi.org/10.1002/mana.201700453
arXiv: 1708.09219 -
(2018): Orbifold Milnor lattice and orbifold intersection form, Manuscripta Math. 155, 335-353 (2018)
DOI: 10.1007/s00229-017-0945-4
arXiv: 1607.08740 -
(2018): Enhanced equivariant Saito duality, J. Algebra Appl. Vol. 17, No. 10 (2018) 1850181
DOI: 10.1142/S0219498818501815
arXiv: 1506.05604 -
(2018): A McKay correspondence for the Poincar\'e series of some finite subgroups of ${\rm SL}_3(\CC)$, Special Volume in honor of the life and mathematics of Egbert Brieskorn, Journal of Singularities 18 (2018), 397-408
DOI: 10.5427/jsing.2018.18t
arXiv: 1712.07985 -
(2018): A note on distinguished bases of singularities, Topology and its Applications 234 (2018), 259-268
DOI: 10.1016/j.topol.2017.11.015
arXiv: 1611.06074 -
(2017): Embedded desingularization for arithmetic surfaces -- toward a parallel implementation, Math. Comp. 90 (2021), 1957-1997
DOI: 10.1090/mcom/3624
arXiv: 1712.08131 -
(2017): Desingularization of arithmetic surfaces: algorithmic aspects, Algorithmic and Experimental Methods in Algebra Geometry, and Number Theory, 2017, pages 231--252
arXiv: 1701.01390 -
(2017): Nef divisors for moduli spaces of complexes with compact support , Selecta Math. (N.S.), 23(2):1507-1561
DOI: 10.1007/s00029-016-0298-y
arXiv: 1602.00863 -
(2017): Counterexample to the Generalized Bogomolov-Gieseker Inequality for Threefolds, Int. Math. Res. Not. IMRN 2017, no. 8, 2562-2566
arXiv: 1602.05055 -
(2017): Monodromy Invariants and Polarization Types of Generalized Kummer Fibrations, Mathematische Zeitschrift
arXiv: 1606.09010 -
(2017): The maximum number of lines lying on a K3 quartic surface, Math. Z. 285(3) (2017), 1141–1166.
DOI: 10.1007/s00209-016-1742-6
arXiv: 1502.04510 -
(2017): Lines on K3 quartic surfaces in characteristic 2, Q J Math (2017) 1-31.
DOI: https://doi.org/10.1093/qmath/haw055
arXiv: 1606.02135 -
(2017): Lectures on Bridgeland Stability, In Moduli of curves, volume 21 of Lect. Notes Unione Mat. Ital., pages 139-211. Springer, Cham, 2017
arXiv: 1607.01262 -
(2017): An irreducibility criterion for power series, Proc. Amer. Math. Soc.
DOI: 10.1090/proc/13635
arXiv: 1605.05577 -
(2017): On line and pseudoline configurations and ball-quotients, ARS MATHEMATICA CONTEMPORANEA 13 (2017) 409–416
arXiv: 1605.00757 -
(2017): On the Sylvester-Gallai and the orchard problem for pseudoline arrangements, Periodica Mathematica Hungarica
arXiv: 1607.05864 -
(2017): Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities, Advances in Mathematics
DOI: 10.1016/j.aim.2016.09.008
arXiv: 1412.3607 -
(2017): Bridgeland Stability Conditions on Fano Threefolds, Épijournal Géom. Algébrique 1 (2017), Art. 2, 24 pp.
arXiv: 1607.08199 -
(2017): Torsion-free rank one sheaves over del Pezzo orders, Journal of Algebra, Volume 493, (2018), P. 251-266
DOI: 10.1016/j.jalgebra.2017.08.029 -
(2017): The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities, Electronic Research Announcements in Mathematical Sciences, Volume 24, Pages 21–27 (2017)
DOI: 10.3934/era.2017.24.003
arXiv: 1612.05141 -
(2017): Hirzebruch-type inequalities and plane curve configurations, International Journal of Mathematics Vol. 28, No. 2 (2017) 1750013 (11 pages)
DOI: 10.1142/S0129167X17500136
arXiv: 1610.05019 -
(2017): Bounded negativity, Harbourne constants and transversal arrangements of curves, Annales de l'Institut Fourier Grenoble
arXiv: 1602.02379 -
(2017): On the local negativity of surfaces with numerically trivial canonical class, Rendiconti Lincei Matematica e Applicazioni
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(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 -
(2017): On equivariant indices of 1-forms on varieties, Functional Analysis and Its Applications, Vol. 51, No. 3, pp. 177--184
arXiv: 1701.01827 -
(2017): The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g \leq 4$, Math. Ann. 369 (3-4) (2017), 1353–1381
arXiv: 1603.02343 -
(2017): Wolf Barth (1942--2016), Jahresber. Dtsch. Math.-Ver. 119 (2017), no. 4, 273–292.
arXiv: 1704.07446 -
(2017): Homological mirror symmetry for singularities, Representation Theory - Current Trends and Perspectives (H. Krause et al., eds.), EMS Series of Congress Reports, Zürich 2017, pp. 75-107
arXiv: 1601.06027 -
(2017): Higher-order spectra, equivariant Hodge-Deligne polynomials and Macdonald-type equations, Singularities and Computer Algebra (W. Decker et al., eds.), Springer-Verlag 2017, pp. 97-108
arXiv: 1507.08088 -
(2017): Orbifold zeta functions for dual invertible polynomials, Proc. Edinburgh Math. Soc., Volume 60, Issue 1, 99--106
DOI: 10.1017/S0013091516000043
arXiv: 1407.0154 -
(2017): An equivariant version of the Euler obstruction, Bull. Braz. Math. Soc. (N.S.) 48 (2017), 199-208
DOI: 10.1007/s00574-016-0022-8
arXiv: 1407.6587 -
(2017): Moduli spaces of sheaves on K3 surfaces and symplectic stacks, Comm. Anal. Geom., 25(5):1063-1106
DOI: 10.4310/CAG.2017.v25.n5.a6 -
(2016): Spherical Subcategories in Algebraic Geometry, Mathematische Nachrichten 289 (11-12), 1450--1465, 2016
DOI: 10.1002/mana.201400232
arXiv: 1208.4046 -
(2016): Picard numbers of complex Delsarte surfaces with only isolated ADE-singularities, J. Math. Soc. Japan, Vol. 68, No. 1 (2016) pp. 101–118
DOI: 10.2969/jmsj/06810101
arXiv: 1212.5006 -
(2016): On polarization types of Lagrangian fibrations, to appear in Manuscripta Mathematica
DOI: 10.1007/s00229-016-0845-z
arXiv: 1501.04489 -
(2016): Nef cones of Hilbert schemes of points on surfaces, Algebra Number Theory 10 (2016), no. 4, 907-930
arXiv: 1509.04722 -
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(2015): Mori dream stacks, Math. Z., 280, no. 3, 1185-1202 (2015)
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(2015): Smoothness and singularities of the perfect form compactification of A_g, Algebraic Geometry 2 (5) (2015), 642 -- 653
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(1983): On the Normal Bundle of Curves on Complete Intersection Surfaces, Math. Ann. 264, 129-135 (1983)
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(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)
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(1983): Milnor lattices and geometric bases of some special singularities, In: Noæuds, tresses et singularités (Ed. C. Weber), Monographie Enseign. Math. 31, Genàve 1983, 129-146 und Enseign. Math. 29, 263-280 (1983)
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(1983): On the monodromy groups of singularities, Proc. Sympos. Pure Math. (AMS) Vol. 40, Part 1, 327-336 (1983)
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(1981): On the Deformation of Orthogonal Bundles over the Projective Line, Journ. f. d. Reine Angew. Math. 329, 52-57 (1981)
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(1981): A Remark on Certain Matrix Varieties, Journ. of Linear and Multilinear Algebra 10, 169-172 (1981)
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(1981): Quadratische Formen und Monodromiegruppen von Singularitäten, Math. Ann. 255, 463-498 (1981)
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(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
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(1979): Stabile Rang-2 Vektorbündel auf P2 mit ungerader erster Chernklasse, Dissertation Erlangen (1979)
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(1979): A Remark on Runge Approximation of Meromorphic Functions, Ann. Sc. Norm. Sup. di Pisa 6, 185-191 (1979)
Papers in a research magazine
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(2006): Die Entstehung der Infinitesimalrechnung und der Prioritätsstreit mit Newton, Unimagazin, Leibniz Universität Hannover, 3-4/2006, 46-49
Expository papers
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(2024): zbMATH Open as a tool for bibliographical studies, 90 Years of zbMATH, EMS Press, Berlin 2024, 75-91.
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(2023): The extension of zbMATH Open by arXiv preprints, Eur. Math. Soc. Mag. 131 (2024), 54-58.
arXiv: 2401.08297 -
(2023): How do mathematicians publish? - Some trends., European Mathematical Society Magazine 129, 36-41 (2023)
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(2022): The transition of zbMATH towards an open information platform for mathematics (II): A two-year progress report, Eur. Math. Soc. News. 125, 44-47
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(2020): Mathematics Subject Classification 2020, Newsletter of the EMS 115, 5-6 (2020), Memoirs of the AMS 67(3), 410-411 (2020)
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(2020): The transition of zbMATH towards an open information platform for mathematics, Mitt. Etsch. Math.-Ver. 28 (2), 108-11
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(2020): The transition of zbMATH towards an open information platform for mathematics, Eur. Math. Soc. News. 116, 44-47
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(2019): Mathematical Research Data – An Analysis through zbMATH, Newsletter of the EMS 113, 54-57 (2019).
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(2017): Das Zitationsverhalten in mathematischen Arbeiten, Mitt. Dtsch. Math.-Ver. 25 (2017), no. 4, 208–214.
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(2017): Mathematik: Glasperlenspiel oder eine Form der Naturwissenschaft?, Wissensformen - Vier Versuche, Hefte der Leibniz-Stiftungsprofessur, Band 4, Herausgeber Wenchao Li, Wehrhahn Verlag, 9 -- 26 (2017)
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(2017): Results of the 2016 EMS User Survey for zbMATH, Newsletter of the European Mathematical Society 104, 67 -- 68 (2017)
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(2008): Entwicklung und Perspektiven des Jahresberichts der DMV, Sonderheft 2008, Jahresber. Deutsch. Math.-Verein, S 3-7.
Edited books
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(2011): Complex and Differential Geometry, Conference Hannover 2009, Springer Proceedings in Mathematics 8, 2011
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(1999): New Trends in Algebraic Geometry, Proceedings of the Euroconference Warwick 1996. LMS Lecture Notes Series 264, Cambridge University Press 1999
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(1995): Abelian Varieties, Proceedings of the Egloffstein Conference. De Gruyter Verlag, Berlin 1995
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(1992): Complex Algebraic Varieties, Proceedings Bayreuth 1990. Lecture Notes in Mathematics 1507. Springer 1992
Books
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(2019): Mordell-Weil lattices, Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, 70, xvi+431 pp., Springer (2019)
DOI: 10.1007/978-981-32-9301-4 -
(2014): Elementary Algebraic Geometry. Translation into Chinese. , Student Mathematical Library, International Press, 2014.
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(2013): Lattices and Codes (3rd Edition), A Course partially based on lectures by Friedrich Hirzebruch, Springer Spektrum 2013 More info
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(2009): Cyclic coverings, Calabi-Yau manifolds and complex multiplication, Lecture Notes in Mathematics, 1975. Springer-Verlag, Berlin, 2009. x+228 pp.
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(2007): Functions of Several Complex Variables and Their Singularities, Graduate Studies in Mathematics, Vol. 83. American Mathematical Society, Providence, RI, 2007. More info
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(2004): Compact Complex Surfaces (2nd enlarged edition), Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge, Volume 4. Springer Verlag, Berlin, 2004
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(2003): Elementary Algebraic Geometry, AMS Student Mathematical Library, Vol. 20, 2003. Errata: http://www.ams.org/publications/authors/books/postpub/stml-20
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(2001): Funktionentheorie, Differentialtopologie und Singularitäten, Vieweg Wiesbaden Braunschweig, 2001 More info
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(1993): Moduli Spaces of Abelian Surfaces: Compactification, Degenerations and Theta Functions, de Gruyter, Berlin 1993
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(1987): 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
[uncategorized]
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(2020): Unitary representations of p-adic U(5), Confluentes Mathematici, Tome 12, no. 1, pp 93-146
DOI: https://doi.org/10.5802/cml.63 -
(2018): Another proof of Grothendieck‘s theorem on the splitting of vector bundles on the projective line, Arch. Math., vol. 110, iss. 6, pp 573-580
DOI: https://doi.org/10.1007/s00013-018-1158-0 -
(2013): Singular curves and their compactified Jacobians , conference proceedings for The view from Joe's Office: a celebration of algebraic geometry