Publikationen der Arbeitsgruppe Komplexe Geometrie (Prof. Dr. Daniel Huybrechts)

  1. Chow groups of surfaces of lines in cubic fourfolds; Daniel Huybrechts (22 Nov 2022); arXiv:2211.12186
  2. Computing Riemann-Roch polynomials and classifying hyper-Kähler fourfolds; Olivier Debarre, Daniel Huybrechts, Emanuele Macrì, Claire Voisin (19 Jan 2022); arXiv:2201.08152
  3. Characteristic foliations; Fabrizio Anella, Daniel Huybrechts (19 Jan 2022); arXiv:2201.07624
  4. 2021
  5. Nodal quintic surfaces and lines on cubic fourfolds; Daniel Huybrechts (24 Aug 2021); arXiv:2108.10532
  6. Lagrangian fibrations; Daniel Huybrechts, Mirko Mauri (23 Aug 2021); arXiv:2108.10193
  7. On type II degenerations of hyperkähler manifolds; Daniel Huybrechts, Mirko Mauri (3 Aug 2021); arXiv:2108.01587
  8. Maximal variation of curves on K3 surfaces; Yajnaseni Dutta, Daniel Huybrechts (8 Jun 2021); arXiv:2105.04787
  9. Derived categories of hyper-Kähler manifolds: Extended Mukai vector and integral structure; Thorsten Beckmann (6 May 2021); arXiv:2103.13382
  10. Gromov-Witten theory and Noether-Lefschetz theory for holomorphic-symplectic varieties; Georg Oberdieck (15 Apr 2021); arXiv:2102.11622
  11. Linearly Reductive Quotient Singularities; Christian Liedtke, Gebhard Martin, Yuya Matsumoto (01 Feb 2021); arXiv:2102.01067
  12. Automorphism groups of rational elliptic and quasi-elliptic surfaces in all characteristics; Igor Dolgachev, Gebhard Martin (13 Jan 2021 (v1)); arXiv:2102.2101.05246
  13. 2020
  14. Brilliant families of K3 surfaces: Twistor spaces, Brauer groups, and Noether-Lefschetz loci; Daniel Huybrechts (08 Dec 2020); arXiv:2012.04608
  15. On equivariant derived categories; Thorsten Beckmann, Georg Oberdieck (20 Nov 2020); arXiv:2006.13626
  16. Equivariant categories of symplectic surfaces and fixed loci of Bridgeland moduli spaces; Thorsten Beckmann, Georg Oberdieck (20 Nov 2020); arXiv:2006.13626
  17. On birational transformations of Hilbert schemes of points on K3 surfaces; Pietro Beri, Alberto Cattaneo (14 Jul 2020); arXiv:2005.05187
  18. Automorphism schemes of (quasi-)bielliptic surfaces; Gebhard Martin (26 Aug 2020 (v1)); arXiv:2008.11679
  19. Weak del Pezzo surfaces with global vector fields, Gebhard Martin, Claudia Stadlmayr (07 Jul 2020(v1)); arXiv:2007.03665
  20. Gromov-Witten theory of K3 surfaces and a Kaneko-Zagier equation for Jacobi forms; Jan-Willem van Ittersum, Georg Oberdieck, Aaron Pixton (7 Jul 2020); arXiv:2007.03489
  21. Infinitesimal automorphisms of algebraic varieties and vector fields on elliptic surfaces, Gebhard Martin (15 Apr 2020 (v1)); arXiv:2004.07227
  22. Complex multiplication in twistor spaces; Daniel Huybrechts (11 Mar 2020); arXiv:2012.04608
  23. admcycles -- a Sage package for calculations in the tautological ring of the moduli space of stable curves; Vincent Delecroix, Johannes Schmitt, Jason van Zelm; (5 Feb 2020); arXiv:2002.01709
  24. Birational geometry of moduli spaces of stable objects on Enriques surfaces; Thorsten Beckmann (27 Jan 2020); arXiv:1810.02165
  25. 2019
  26. Motivic decompositions for the Hilbert scheme of points of a K3 surface; Andrei Negut, Georg Oberdieck, Qizheng Yin; (19 Dec 2019); arXiv:1912.09320
  27. Prime order isometries of unimodular lattices and automorphisms of IHS manifolds; Simon Brandhorst, Alberto Cattaneo; (15 Dec 2019); arXiv:1912.07119
  28. Complex multiplication in twistor spaces; Daniel Huybrechts; (30 Oct 2019); arXiv:1910.13788
  29. The nilpotent cone in the Mukai system for rank 2 and genus 2; Isabell Hellmann; (29 Oct 2019); arXiv:1910.13127
  30. Moduli spaces of twisted K3 surfaces and cubic fourfolds; Emma Brakkee; (08 Oct 2019); arXiv:1910.03465
  31. Infinitesimal structure of the pluricanonical double ramification locus; David Holmes, Johannes Schmitt;
    (26 Sep 2019); arXiv:1909.11981
  32. A Lie algebra action on the Chow ring of the Hilbert scheme of points of a K3 surface; Georg Oberdieck;
    (23 Aug 2019); arXiv:1908.08830
  33. Automorphisms of unnodal Enriques surfaces; Gebhard Martin; (31 Jul 2019); arXiv:1908.00049
  34. Automorphisms of Hilbert schemes of points on surfaces; Pieter Belmans, Georg Oberdieck, Jørgen Vold Rennemo; (23 Jul 2019); arXiv:1907.07064
  35. Elliptic curves in hyper-Kähler varieties; Denis Nesterov, Georg Oberdieck; (15 Jul 2019); arXiv:1906.05817
  36. Lagrangian fibrations of hyperkähler fourfolds; Daniel Huybrechts, Chenyang Xu; (27 Feb 2019); arXiv:1902.10440
  37. On the non-divisorial base locus of big and nef line bundles of K3^{[2]}-type varieties; Ulrike Riess;
    (23 Jan 2019); arXiv:1901.08037
  38. 2018
  39. CHL Calabi-Yau threefolds: Curve counting, Mathieu moonshine and Siegel modular forms; Jim Bryan, Georg Oberdieck; (14 Nov 2018); arXiv:1811.06102
  40. Birational geometry of moduli spaces of stable objects on Enriques surfaces; Thorsten Beckmann; (4 Oct 2018); arXiv:1810.02165
  41. Conformal embedding and twisted theta functions at level one; Swarnava Mukhopadhyay, Hacen Zelaci; (MPIM 18-39); Max-Planck-Institut für Mathematik Preprint Series 2018 (39)
  42. Donaldson-Thomas invariants of abelian threefolds and Bridgeland stability conditions; Georg Oberdieck, Dulip Piyaratne, Yukinobu Toda; (8 Aug 2018); arXiv:1808.02735
  43. Two polarized K3 surfaces associated to the same cubic fourfold; Emma Brakkee; (3 Aug 2018); arXiv:1808.01179v1
  44. On the first steps of the minimal model program for the moduli space of stable pointed curves; Giulio Codogni, Luca Tasin, Filippo Viviani; (1 Aug 2018); arXiv:1808.00231v1
  45. Base divisors of big and nef line bundles on irreducible symplectic varieties; Ulrike Riess; (13 Jul 2018); arXiv:1807.05192
  46. Limit mixed Hodge structures of hyperkähler manifolds; Andrey Soldatenkov; (11 Jul 2018); arXiv:1807.04030v1
  47. Motives of moduli spaces on K3 surfaces and of special cubic fourfolds; Tim-Henrik Bülles; (21 Jun 2018); arXiv:1806.08284
  48. On very stablity of principal G−bundles; Hacen Zelaki; (17 Apr 2018); arXiv:1804.04881v2
  49. A note on the fibres of Mori fibre spaces; Giulio Codogni, Andrea Fanelli, Roberto Svaldi, Luca Tasin; (23 Jan 2018); arXiv:1801.07690
  50. Finiteness of polarized K3 surfaces and hyperkähler manifolds; Daniel Huybrechts; (22 Jan 2018); arXiv:1801.07040
  51. 2017
  52. Moduli spaces of anti-invariant vector bundles and twisted conformal blocks; Hacen Zelaci; (22 Nov 2017); arXiv:1711.08296
  53. Moduli spaces of anti-invariant vector bundles over a curve; Hacen Zelaci; (15 Nov 2017); arXiv:1711.05563
  54. Effective non-vanishing for Fano weighted complete intersections; Marco Pizzato, Taro Sano, Luca Tasin; (10 Oct 2017); arXiv:1703.07344v2
  55. The Kuga-Satake construction under degeneration; Stefan Schreieder, Andrey Soldatenkov; (5 Oct 2017); arXiv:1710.02102
  56. Algebraic approximations of uniruled compact Kähler threefolds; Hsueh-Yung Lin; (3 Oct 2017); arXiv:1710.01083
  57. Kuga-Satake construction and cohomology of hyperkahler manifolds; Nikon Kurnosov, Andrey Soldatenkov, Misha Verbitsky; (6 Sep 2017); arXiv:1703.07477v2
  58. Quadric surface bundles over surfaces and stable rationality; Stefan Schreieder; (5 Jun 2017); arXiv:1706.01358
  59. On the rationality problem for quadric bundles; Stefan Schreieder; (5 Jun 2017); arXiv:1706.01356
  60. Motives of isogenous K3 surfaces; Daniel Huybrechts; (29 May 2017 (v2)); arXiv:1705.04063
  61. Algebraic approximations of compact Kähler threefolds of Kodaira dimension 0 or 1; Hsueh-Yung Lin; (26 Apr 2017); arXiv:1704.08109
  62. Motives of derived equivalent K3 surfaces; Daniel Huybrechts; (10 Feb 2017); arXiv:1702.03178
  63. 2016
  64. Hochschild cohomology versus the Jacobian ring, and the Torelli theorem for cubic fourfolds; Daniel Huybrechts, Jørgen Rennemo; (10 Nov 2016 (version 2));arXiv:1610.04128v2
  65. The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat manifolds; Vladimir Lazić, Keiji Oguiso, Thomas Peternell; (2 Nov 2016); arXiv:1611.00556
  66. On the number and boundedness of minimal models of general type; Diletta Martinelli, Stefan Schreieder, Luca Tasin (27 Oct 2016); arXiv:1610.08932v2
  67. Rationally connected varieties - on a conjecture of Mumford; Vladimir Lazić, Thomas Peternell; (16 Aug 2016); arXiv:1608.04706
  68. Kaehler structures on spin 6-manifolds;Stefan Schreieder, Luca Tasin; (29 Jun 2016); arXiv:1606.09237v2
  69. Non-Archimedean geometry of Artin fans; Martin Ulirsch; (24 Mar 2016); arXiv:1603.07589
  70. Generic vanishing and minimal cohomology classes on abelian fivefolds; Sebastian Casalaina-Martin, Mihnea Popa, Stefan Schreieder; (19 Feb 2016); arXiv:1602.06231v3
  71. On generic vanishing subschemes of abelian varieties; Stefan Schreieder; (19 Feb 2016); arXiv:1602.06226
  72. On the geometry of the LLSvS eightfold; Evgeny Shinder, Andrey Soldatenkov; (29 Jan 2016); arXiv:1601.08186
  73. Abundance for varieties with many differential forms; Vladimir Lazić, Thomas Peternell; (7 Jan 2016); arXiv:1601.01602
  74. Nef line bundles on Calabi-Yau threefolds; I; Vladimir Lazić, Keiji Oguiso, Thomas Peternell; (6 Jan 2016); arXiv:1601.01273
  75. 2015
  76. A remark on the Ueno-Campana's threefold; Cinzia Bisi, Paolo Cascini, Luca Tasin; (7 May 2015); arXiv:1512.06639
  77. Hasse principle for three classes of varieties over global function fields; Zhiyu Tian; (25 May 2015); arXiv:1505.06548
  78. Algebraic structures with unbounded Chern numbers; Stefan Schreieder, Luca Tasin; (12 May 2015); arXiv:1505.03086
  79. The K3 category of a cubic fourfold; Daniel Huybrechts; (7 May 2015); arXiv:1505.01775
  80. 2014
  81. On the Chern numbers of a smooth threefold; Paolo Cascini, Luca Tasin; (4 Dec 2014); arXiv:1412.1686
  82. Theta-regularity of curves and Brill-Noether loci; Luigi Lombardi, Wenbo Niu; (29 Oct 2014); arXiv:1410.8047
  83. On the Beauville conjecture; Ulrike Riess; (11 Sep 2014) (6 Jan 2014); arXiv:1409.3484
  84. Theta divisors with curve summands and the Schottky problem; Stefan Schreieder; (10 Sep 2014); arXiv:1409.3134
  85. GV-subschemes and their embeddings in principally polarized abelian varieties; Luigi Lombardi, Sofia Tirabassi; (25 Jul 2014); arXiv:1407.6835
  86. A note on the abundance conjecture; Tobias Dorsch, Vladimir Lazic; (25 Jun 2014); arXiv:1406.6554
  87. The Fano variety of lines and rationality problem for a cubic hypersurface; Sergey Galkin, Evgeny Shinder; (20 May 2014); arXiv:1405.5154
  88. P-functor versions of the Nakajima operators; Andreas Krug; (5 May 2014); arXiv:1405.1006
  89. Birational Geometry of Singular Moduli Spaces of O'Grady Type; Ciaran Meachan, Ziyu Zhang; (27 Apr 2014); arXiv:1404.6783
  90. On the derived category of the Hilbert scheme of points on an Enriques surface; Andreas Krug, Pawel Sosna; (8 Apr 2014); arXiv:1404.2105
  91. On Global Deformations of Quartic Double Solids; Tobias Dorsch; (24 Feb 2014); arXiv:1402.5740
  92. Spherical functors on the Kummer surface; Andreas Krug, Ciaran Meachan; (7 Feb 2014); arXiv:1402.1651
  93. The Moduli of Singular Curves on K3 Surfaces; Michael Kemeny; (6 Jan 2014); arXiv:1401.1047
  94. 2013
  95. The critical CoHA of a self dual quiver with potential; Ben Davison; (27 Nov 2013); arXiv:1311.7172
  96. Purity of critical cohomology and Kac's conjecture; Ben Davison; (27 Nov 2013); arXiv:1311.6989
  97. On derived categories of K3 surfaces and Mathieu groups; Daniel Huybrechts; (25 Sep 2013); arXiv:1309.6528
  98. Purity for graded potentials and quantum cluster positivity; Ben Davison, Davesh Maulik, Joerg Schuermann, Balazs Szendroi; (12 Jul 2013); arXiv:1307.3379
  99. A note on the Kähler and Mori cones of manifolds of K3^[n] type; Giovanni Mongardi; (1 July 2013); arXiv:1307.0393
  100. Twisted cubics on cubic fourfolds; Christian Lehn, Manfred Lehn, Christoph Sorger, Duco van Straten; (1 May 2013); arXiv:1305.0178
  101. On natural deformations of symplectic automorphisms of manifolds of K3^[n] type; Giovanni Mongardi; (24 Apr 2013); arXiv:1304.6630
  102. Supersingular K3 surfaces are unirational; Christian Liedtke; (20 Apr 2013); arXiv:1304.5623
  103. Multiplicative sub-Hodge structures of conjugate varieties; Stefan Schreieder; (18 Apr 2013); arXiv:1304.5146
  104. On the Chow ring of birational irreducible symplectic varieties; Ulrike Greiner; (16 Apr 2013); arXiv:1304.4404
  105. ACM bundles on cubic threefolds and fourfolds containing a plane; Martí Lahoz, Emanuele Macrì, Paolo Stellari; (27 Mar 2013); arXiv:1303.6998
  106. Curves and cycles on K3 surfaces; Daniel Huybrechts (with an appendix by C. Voisin); (19 Mar 2013); arXiv:1303.4564
  107. New derived autoequivalences of Hilbert schemes and generalised Kummer varieties; Andreas Krug; (21 Jan 2013); arXiv:1301.4970
  108. MMP for moduli of sheaves on K3s via wall-crossing: nef and movable cones; Lagrangian fibrations; Arend Bayer, Emanuele Macrì; (29 Jan 2013); arXiv:1301.6968
  109. On the construction problem for Hodge numbers; Stefan Schreieder; (03 Jan 2013); arXiv:1301.0478
  110. 2012
  111. Derived autoequivalences of generalised Kummer varieties; Ciaran Meachan; (20 Dec 2012); arXiv:1212.5286
  112. Derived algebraic bordism; Parker Lowrey, Timo Schürg; (29 Nov 2012); arXiv:1211.7023
  113. Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence; Andreas Krug; (07 Nov 2012); arXiv:arXiv:1211.1640
  114. More Reduced Obstruction Theories; Timo Schürg; (20 Sep 2012); arXiv:1209.4631
  115. Grothendieck-Riemann-Roch for derived schemes;Parker Lowrey, Timo Schürg; (30 Aug 2012); arXiv:1208.6325
  116. The motivic Donaldson-Thomas invariants of (-2) curves; Ben Davison, Sven Meinhardt; (12 Aug 2012); arXiv:1208.2462
  117. A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space; Emanuele Macrì; (20 Jul 2012); arXiv:1207.4980
  118. Symplectic automorphisms of K3 surfaces of arbitrary order; Daniel Huybrechts; (15 May 2012); arXiv:1205.3433
  119. Projectivity and Birational Geometry of Bridgeland moduli spaces; Arend Bayer, Emanuele Macri; (20 Mar 2012); arXiv:arXiv:1203.4613
  120. Stable maps and Chow groups; Daniel Huybrechts, Michael Kemeny; (22 Feb 2012); arXiv:1202.4968
  121. 2011
  122. On the Iitaka fibration of varieties of maximal Albanese dimension; Zhi Jiang, Martí Lahoz, Sofia Tirabassi; (27 Nov 2011); arXiv:1111.6279
  123. Introduction to stability conditions. Lectures at the Newton Institute January 2011; Daniel Huybrechts; (07 Nov 2012); arXiv:1111.1745v1
  124. The Universal Severi Variety of Rational Curves on K3 Surfaces; Michael Kemeny; (19 Oct 2011); arXiv:1110.4266
  125. Lagrangian fibrations on hyperkähler fourfolds; Daniel Greb, Christian Lehn, Sönke Rollenske; (12 Oct 2011); arXiv:1110.2680
  126. Motivic DT-invariants for the one loop quiver with potential; Ben Davison, Sven Meinhardt; (30 Aug 2011); arXiv:1108.5956
  127. A Global Torelli theorem for hyperkähler manifolds (after Verbitsky). Seminaire Bourbaki June 2011; Daniel Huybrechts; (28 Jun 2012); arXiv:1106.5573
  128. Bridgeland Stability conditions on threefolds II: An application to Fujita's conjecture; Arend Bayer, Aaron Bertram, Emanuele Macri, Yukinobu Toda; (17 Jun 2011); arXiv:1106.3430
  129. Lagrangian fibrations on hyperkähler manifolds - On a question of Beauville; Daniel Greb, Christian Lehn, Sönke Rollenske; (17 May 2011); arXiv:1105.3410
  130. Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities; Arend Bayer, Emanuele Macri, Yukinobu Toda; (25 Mar 2011); arXiv:1103.5010
  131. Period- and mirror-maps for the quartic K3; Heinrich Hartmann; (24 Jan 2011); arXiv:1101.4601
  132. 2010
  133. Cusps of the Kähler moduli space and stability conditions on K3 surfaces; Heinrich Hartmann; (14 Dec 2010); arXiv:1012.3121
  134. Stability conditions via spherical objects; Daniel Huybrechts; (22 Sep 2010); arXiv:1009.4372
  135. A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects; Daniel Huybrechts; (22 Sep 2010); arXiv:1009.4371
  136. Hyperkähler manifolds and sheaves. Daniel Huybrechts; Proceedings of the International Congress of Mathematicians. Volume II,450-460. pdf-file
  137. Torsion in equivariant cohomology and Cohen-Macaulay G-actions; Oliver Goertsches, Sönke Rollenske; (01 Sep 2010); arXiv:1009.0120
  138. Dolbeault cohomology of nilmanifolds with left-invariant complex structure; Sönke Rollenske; (22 Jun 2010); arXiv:1006.4224
  139. 2009
  140. Chow groups and derived categories of K3 surfaces; Daniel Huybrechts; (29 Dec 2009); arXiv:0912.5299v1
  141. The space of stability conditions on the local projective plane; Arend Bayer, Emanuele Macri; (01 Dec 2009); arXiv:0912.0043
  142. Fano varieties of cubic fourfolds containing a plane; Emanuele Macri, Paolo Stellari; (15 Sep 2009); arXiv:0909.2725
  143. On the Andre motive of certain irreducible symplectic varieties; Ulrich Schlickewei; (10 Sep 2009); arXiv:0909.1889
  144. Stability of tautological vector bundles on Hilbert squares of surfaces; Ulrich Schlickewei (10. Sep 2009) arXiv:0912.0909.1888
  145. The Hodge conjecture for self-products of certain K3 surfaces; Ulrich Schlickewei; (15 Jul 2009) arXiv:0907.2503
  146. Compact moduli for certain Kodaira fibrations; Sönke Rollenske; (15 May 2009); arXiv:0905.2536
  147. Rouquier's cocovering theorem and well-generated triangulated categories; Daniel Murfet; (17 Apr 2009); arXiv:0904.2685
  148. A categorical invariant for cubic threefolds; Marcello Bernardara, Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari; (25 Mar 2009); arXiv:0903.4414
  149. Hodge classes on self-products of K3 surfaces; Ulrich Schlickewei; In: Bonner Mathematische Schriften, volume 395, 2009. (Ph.D. thesis)
  150. Totally acyclic complexes over noetherian schemes; Daniel Murfet, Shokrollah Salarian; (17 Feb 2009); arXiv:0902.3013
  151. 2008
  152. Derived and abelian equivalence of K3 surface; D. HuybrechtsJ. Alg. Geom. 17 (2008); math.AG/0604150
  153. Stability conditions for generic K3 categories; Daniel Huybrechts, Emanuele Macri, Paolo Stellari); Comp. math. 144 (2008); math.AG/0608430
  154. Stable pairs on elliptic K3 surfaces; Marcello Bernardara; (26 Nov 2008); arXiv:0811.4326
  155. Formal deformations and their categorical general fibre; Daniel Huybrechts, Emanuele Macri, Paolo Stellari; (18 Sep 2008); arXiv:0809.3201
  156. Chow groups of K3 surfaces and spherical objects; Daniel Huybrechts; (15 Sep 2008); arXiv:0809.2606v1
  157. Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes; Daniel Huybrechts, Richard Thomas; (22 May 2008); arXiv:0805.3527v1
  158. Quotient categories, stability conditions, and birational geometry; Sven Meinhardt, Holger Partsch; (05 May 2008); arXiv:0805.0492
  159. Infinitesimal Derived Torelli Theorem for K3 surfaces; Emanuele Macri, Paolo Stellari, Sukhendu Mehrotra; (16 Apr 2008); arXiv:0804.2552
  160. Remarks on derived equivalences of Ricci-flat manifolds; Daniel Huybrechts, Marc Nieper-Wisskirchen; (30 Jan 2008); arXiv:0801.4747
  161. 2007
  162. Derived equivalences of K3 surfaces and orientation; Daniel Huybrechts, E. Macri, P. Stellari; (08 Oct 2077); arXiv:0710.1645v2
  163. Stability conditions on generic complex tori; Sven Meinhardt; (22 Aug 2007); arXiv:0708.3053
  164. Derived equivalences of K3 surfaces and orientation; Daniel Huybrechts, Emanuele Macri, Paolo Stellari; (08 Oct 2007); arXiv:0710.1645
  165. Stability conditions on curves; Emanuele Macri; (25 May 2007); arXiv:0705.3794
  166. Inducing stability conditions; Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari; (25 May 2007); arXiv:0705.3752
  167. Automorphisms and autoequivalences of generic analytic K3 surfaces; Emanuele Macri, Paolo Stellari; (27 Feb 2007); arXiv:0702848
  168. 2006
  169. The global Torelli theorem: classical; derived, twisted; D. Huybrechts; Proc. of the Seattle conference; (01 Sep 2006; arXiv:0609017v1
  170. P-objects and autoequivalences of derived categories; D. Huybrechts, Richard Thomas; MRL 13 (2006), 87-98 math.AG/0507040
  171. 2005


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