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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 -
(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
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(2023): Fields of definition of K3 surfaces with complex multiplication, Journal of number theory. 242, 436-470
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(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.
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(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
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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
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(2023): Compactified Jacobians as Mumford models, Transactions of the American Mathematical Society. 376, 7, 4605-4630
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arXiv: 1912.03653 -
(2023): A Clifford inequality for semistable curves, Mathematische Zeitschrift (online first)
DOI: https://doi.org/10.1007/s00209-022-03173-7
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(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
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(2023): Relative VGIT and an application to degenerations of Hilbert schemes, Michigan Math. J. 73 (2023), 67–96
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(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
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(2023): Moduli of polarized Enriques surfaces - computational aspects, J. London Math. Soc., 109 (2024): e12828
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(2023): Moduli of Gorenstein Q-homology projective planes, J. Math. Soc. Japan 75(1): 329-366
DOI: https://doi.org/10.2969/jmsj/87028702
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(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
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(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): Non-isomorphic smooth compactifications of the moduli space of cubic surfaces, Nagoya Math. J. 254 (2024), 315 — 365.
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(2023): Cohomology of the moduli space of cubic threefolds and its smooth models, Memoirs of the AMS, Vol 282, Issue 1395
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(2023): Heights on curves and limits of Hodge structures, Journal of the London Mathematical Society. 108, 1, 340-361
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(2023): Computing heights via limits of Hodge structures, Experimental mathematics
DOI: 10.1080/10586458.2023.2188318
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(2023): On the Brauer group of a generic Godeaux surface, J. London Math. Soc. 107 (2023), 1881-1899.
DOI: 10.1112/jlms.12727
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(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)
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(2023): Indices of vector fields and 1-forms, Handbook of Geometry and Topology of Singularities, Volume IV, Springer, Cham, 2023, 251–305.
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(2022): Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds, Rev. Mat. Iberoam. 38, No. 3, 1029-1050
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(2022): Universal functors on symmetric quotient stacks of Abelian varieties, Selecta Mathematica. New Series
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(2022): Some ways to reconstruct a sheaf from its tautological image on a Hilbert scheme of points, Mathematische Nachrichten
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(2022): Smooth components on special iterated Hilbert schemes, Comptes Rendus Mathematique, Volume 360 (2022), pp. 425-429
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(2022): Singularities of normal quartic surfaces II (char=2), Pure Appl. Math. Q. 18, No. 4, 1379-1420
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(2022): Degeneration of curves on some polarized toric surfaces, Journal für die reine und angewandte Mathematik, no. 787, pp. 197-240
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(2022): The Mori fan of the Dolgachev-Nikulin-Voisin family in genus 2, Épijournal Géom. Algébrique 6 (2022), Art. 2
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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
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(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).
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(2022): Mirror symmetry on levels of non-abelian Landau--Ginzburg orbifolds, J. Geom. Phys. 179 (2022) 104617
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(2021): Stability of some vector bundles on Hilbert schemes of points on K3 surfaces, Math. Z. (2021)
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(2021): Holomorphic one-forms without zeros on threefolds, Geometry & Topology 25 (2021), 409-444 | Datei |
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
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(2021): The geometry of degenerations of Hilbert schemes of points, J. Algebr. Geom. 30 (2021), 1–56
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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)
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(2021): Torsion orders of Fano hypersurfaces, Algebra & Number Theory 15 (2021), 241-270. | Datei |
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(2021): Zeros of holomorphic one-forms and topology of Kähler manifolds, International Mathematics Research Notices, 2021, no. 8, 6169-6183 | Datei |
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(2021): K3 surfaces with 9 cusps in characteristic p, J. Pure Appl. Algebra 225 (2021), no. 4, 106558, 14 pp
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(2021): Families of curves with Higgs field of arbitrarily large kernel, Bull. London Math. Soc.53 (2021) 493–506
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(2021): Strange duality between the quadrangle complete intersection singularities, Arnold Mathematical Journal 7, 519-540 (2021)
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(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
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(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
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(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 | Datei |
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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
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(2020): Negative Sasakian structures on simply-connected 5-manifolds, Mathematical research letters. 29, 6, 1827-1857
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(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
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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
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(2019): A Reider-type theorem for higher syzygies on abelian surfaces, Algebraic Geometry 6 (5) 548–570 (2019)
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(2019): Bridgeland Stability on Blow Ups and Counterexamples, Math. Z. 292 (2019), no. 3-4, 1495-1510
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(2019): Higher syzygies on surfaces with numerically trivial canonical bundle , Mathematische Zeitschrift 293, no. 3-4, 1071–1084 (2019)
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(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)
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(2019): The cubo-cubic transformation and K3 surfaces, Results Math (2019) 74: 194
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arXiv: 1908.05548 -
(2019): On the Picard numbers of abelian varieties, Ann. Sc. Norm. Super. Pisa., Vol XIX (2019), 1199-1224.
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(2019): A GIT construction of degenerations of Hilbert schemes of points, Doc. Math. 24, 421-472 (2019)
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(2019): Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two , Épijournal Geom. Algébrique 3 (2019), Art. 10, 24 pp.
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(2019): Multiplicities of jumping points for mixed multiplier ideals, Revista Matemática Complutense
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(2019): The construction problem for Hodge numbers modulo an integer, Algebra & Number Theory | Datei |
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(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.
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(2019): On the rank of the flat unitary factor of the Hodge bundle, Transactions of the American Mathematical Society 372, 8663-8677 (2019).
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(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
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(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
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(2018): Partial Local Resolution by Characteristic Zero Methods, Results Math (2018) 73: 48.
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(2018): Discriminants of stable rank two sheaves on some general type surfaces, Mathematical Research Letters
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(2018): A polyhedral characterization of quasi-ordinary singularities , Moscow Math. J. 18 (2018), no. 4, 755-785.
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(2018): A smoothness test for higher codimensions, Journal of Symbolic Computation Volume 86, 153--165, (2018)
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(2018): Massively parallel computations in algebraic geometry - not a contradiction, Computeralgebra Rundbrief 64
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(2018): Preservation of semistability under Fourier-Mukai transforms, Geom. Dedicata., 193(1):89-119
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(2018): Duality spectral sequence for Weierstrass fibrations and applications, J. Geometry Phys., 123:362-371
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(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)
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(2018): Xiao's conjecture for general fibred surfaces, Journal für die reine und angewandte Mathematik
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(2018): On the rationality of quadric surface bundles, Annales de l'Institut Fourier | Datei |
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(2018): An observation concerning the vanishing topology of certain isolated determinantal singularities, Mathematische Zeitschrift (2019) 291:1263–1293
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(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
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(2018): Automorphisms of minimal entropy on supersingular K3 surfaces, J. London Math. Soc.
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(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 cohomology of the perfect cone toroidal compactification of ${\mathcal A}_g$, J. reine angew. Math. 741 (2018), 211–254
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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)
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(2018): An algebraic formula for the index of a 1-form on a real quotient singularity, Math. Nachrichten 291, 2543-2556 (2018)
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(2018): Orbifold Milnor lattice and orbifold intersection form, Manuscripta Math. 155, 335-353 (2018)
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(2018): Enhanced equivariant Saito duality, J. Algebra Appl. Vol. 17, No. 10 (2018) 1850181
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(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
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(2018): A note on distinguished bases of singularities, Topology and its Applications 234 (2018), 259-268
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(2017): Embedded desingularization for arithmetic surfaces -- toward a parallel implementation, Math. Comp. 90 (2021), 1957-1997
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(2017): Desingularization of arithmetic surfaces: algorithmic aspects, Algorithmic and Experimental Methods in Algebra Geometry, and Number Theory, 2017, pages 231--252
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(2017): Nef divisors for moduli spaces of complexes with compact support , Selecta Math. (N.S.), 23(2):1507-1561
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(2017): Counterexample to the Generalized Bogomolov-Gieseker Inequality for Threefolds, Int. Math. Res. Not. IMRN 2017, no. 8, 2562-2566
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(2017): Monodromy Invariants and Polarization Types of Generalized Kummer Fibrations, Mathematische Zeitschrift
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(2017): The maximum number of lines lying on a K3 quartic surface, Math. Z. 285(3) (2017), 1141–1166.
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(2017): Lines on K3 quartic surfaces in characteristic 2, Q J Math (2017) 1-31.
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(2017): Lectures on Bridgeland Stability, In Moduli of curves, volume 21 of Lect. Notes Unione Mat. Ital., pages 139-211. Springer, Cham, 2017
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(2017): An irreducibility criterion for power series, Proc. Amer. Math. Soc.
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(2017): On line and pseudoline configurations and ball-quotients, ARS MATHEMATICA CONTEMPORANEA 13 (2017) 409–416
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(2017): On the Sylvester-Gallai and the orchard problem for pseudoline arrangements, Periodica Mathematica Hungarica
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(2017): Poincaré series of multiplier ideals in two-dimensional local rings with rational singularities, Advances in Mathematics
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(2017): Bridgeland Stability Conditions on Fano Threefolds, Épijournal Géom. Algébrique 1 (2017), Art. 2, 24 pp.
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(2017): Torsion-free rank one sheaves over del Pezzo orders, Journal of Algebra, Volume 493, (2018), P. 251-266
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(2017): The orbifold Langer-Miyaoka-Yau inequality and Hirzebruch-type inequalities, Electronic Research Announcements in Mathematical Sciences, Volume 24, Pages 21–27 (2017)
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(2017): Hirzebruch-type inequalities and plane curve configurations, International Journal of Mathematics Vol. 28, No. 2 (2017) 1750013 (11 pages)
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(2017): Bounded negativity, Harbourne constants and transversal arrangements of curves, Annales de l'Institut Fourier Grenoble
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(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.
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(2017): On equivariant indices of 1-forms on varieties, Functional Analysis and Its Applications, Vol. 51, No. 3, pp. 177--184
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(2017): The intersection cohomology of the Satake compactification of ${\mathcal A}_g$ for $g \leq 4$, Math. Ann. 369 (3-4) (2017), 1353–1381
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(2017): Wolf Barth (1942--2016), Jahresber. Dtsch. Math.-Ver. 119 (2017), no. 4, 273–292.
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(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
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(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
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(2017): Orbifold zeta functions for dual invertible polynomials, Proc. Edinburgh Math. Soc., Volume 60, Issue 1, 99--106
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(2017): An equivariant version of the Euler obstruction, Bull. Braz. Math. Soc. (N.S.) 48 (2017), 199-208
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(2017): Moduli spaces of sheaves on K3 surfaces and symplectic stacks, Comm. Anal. Geom., 25(5):1063-1106
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(2016): Spherical Subcategories in Algebraic Geometry, Mathematische Nachrichten 289 (11-12), 1450--1465, 2016
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(2016): Picard numbers of complex Delsarte surfaces with only isolated ADE-singularities, J. Math. Soc. Japan, Vol. 68, No. 1 (2016) pp. 101–118
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(2016): On polarization types of Lagrangian fibrations, to appear in Manuscripta Mathematica
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(2016): Nef cones of Hilbert schemes of points on surfaces, Algebra Number Theory 10 (2016), no. 4, 907-930
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(2016): On Segre's bound for fat points in $\mathbb{P}^n$, J. Pure Appl. Algebra 220 (2016), no. 6, 2307– 2323.
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