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

  1. Birational geometry of moduli spaces of stable objects on Enriques surfaces; Thorsten Beckmann; (4 Oct 2018); arXiv:1810.02165
  2. 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)
  3. Two polarized K3 surfaces associated to the same cubic fourfold; Emma Brakkee; (3 Aug 2018); arXiv:1808.01179v1
  4. 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
  5. Base divisors of big and nef line bundles on irreducible symplectic varieties; Ulrike Riess; (13 Jul 2018); arXiv:1807.05192v1
  6. Limit mixed Hodge structures of hyperkähler manifolds; Andrey Soldatenkov; (11 Jul 2018); arXiv:1807.04030v1
  7. Motives of moduli spaces on K3 surfaces and of special cubic fourfolds; Tim-Henrik Bülles; (21 Jun 2018); arXiv:1806.08284
  8. On very stablity of principal G−bundles; Hacen Zelaki; (17 Apr 2018); arXiv:1804.04881v2
  9. A note on the fibres of Mori fibre spaces; Giulio Codogni, Andrea Fanelli, Roberto Svaldi, Luca Tasin; (23 Jan 2018); arXiv:1801.07690
  10. Finiteness of polarized K3 surfaces and hyperkähler manifolds; Daniel Huybrechts; (22 Jan 2018); arXiv:1801.07040
  11. 2017
  12. Moduli spaces of anti-invariant vector bundles and twisted conformal blocks; Hacen Zelaci; (22 Nov 2017); arXiv:1711.08296
  13. Moduli spaces of anti-invariant vector bundles over a curve; Hacen Zelaci; (15 Nov 2017); arXiv:1711.05563
  14. Effective non-vanishing for Fano weighted complete intersections; Marco Pizzato, Taro Sano, Luca Tasin; (10 Oct 2017); arXiv:1703.07344v2
  15. The Kuga-Satake construction under degeneration; Stefan Schreieder, Andrey Soldatenkov; (5 Oct 2017); arXiv:1710.02102
  16. Algebraic approximations of uniruled compact Kähler threefolds; Hsueh-Yung Lin; (3 Oct 2017); arXiv:1710.01083
  17. Kuga-Satake construction and cohomology of hyperkahler manifolds; Nikon Kurnosov, Andrey Soldatenkov, Misha Verbitsky; (6 Sep 2017); arXiv:1703.07477v2
  18. Quadric surface bundles over surfaces and stable rationality; Stefan Schreieder; (5 Jun 2017); arXiv:1706.01358
  19. On the rationality problem for quadric bundles; Stefan Schreieder; (5 Jun 2017); arXiv:1706.01356
  20. Motives of isogenous K3 surfaces; Daniel Huybrechts; (29 May 2017 (v2)); arXiv:1705.04063
  21. Algebraic approximations of compact Kähler threefolds of Kodaira dimension 0 or 1; Hsueh-Yung Lin; (26 Apr 2017); arXiv:1704.08109
  22. Motives of derived equivalent K3 surfaces; Daniel Huybrechts; (10 Feb 2017); arXiv:1702.03178
  23. 2016
  24. 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
  25. The Morrison-Kawamata Cone Conjecture and Abundance on Ricci flat manifolds; Vladimir Lazić, Keiji Oguiso, Thomas Peternell; (2 Nov 2016); arXiv:1611.00556
  26. On the number and boundedness of minimal models of general type; Diletta Martinelli, Stefan Schreieder, Luca Tasin (27 Oct 2016); arXiv:1610.08932v2
  27. Rationally connected varieties - on a conjecture of Mumford; Vladimir Lazić, Thomas Peternell; (16 Aug 2016);arXiv:1608.04706
  28. Kaehler structures on spin 6-manifolds;Stefan Schreieder, Luca Tasin; (29 Jun 2016);arXiv:1606.09237v2
  29. Non-Archimedean geometry of Artin fans; Martin Ulirsch; (24 Mar 2016); arXiv:1603.07589
  30. Generic vanishing and minimal cohomology classes on abelian fivefolds; Sebastian Casalaina-Martin, Mihnea Popa, Stefan Schreieder; (19 Feb 2016); arXiv:1602.06231v3
  31. On generic vanishing subschemes of abelian varieties; Stefan Schreieder; (19 Feb 2016); arXiv:1602.06226
  32. On the geometry of the LLSvS eightfold; Evgeny Shinder, Andrey Soldatenkov; (29 Jan 2016);arXiv:1601.08186
  33. Abundance for varieties with many differential forms; Vladimir Lazić, Thomas Peternell; (7 Jan 2016); arXiv:1601.01602
  34. Nef line bundles on Calabi-Yau threefolds; I; Vladimir Lazić, Keiji Oguiso, Thomas Peternell; (6 Jan 2016); arXiv:1601.01273
  35. 2015
  36. A remark on the Ueno-Campana's threefold; Cinzia Bisi, Paolo Cascini, Luca Tasin; (7 May 2015); arXiv:1512.06639
  37. Hasse principle for three classes of varieties over global function fields; Zhiyu Tian; (25 May 2015); arXiv:1505.06548
  38. Algebraic structures with unbounded Chern numbers; Stefan Schreieder, Luca Tasin; (12 May 2015); arXiv:1505.03086
  39. The K3 category of a cubic fourfold; Daniel Huybrechts; (7 May 2015); arXiv:1505.01775
  40. 2014
  41. On the Chern numbers of a smooth threefold; Paolo Cascini, Luca Tasin; (4 Dec 2014); arXiv:1412.1686
  42. Theta-regularity of curves and Brill-Noether loci; Luigi Lombardi, Wenbo Niu; (29 Oct 2014); arXiv:1410.8047
  43. On the Beauville conjecture; Ulrike Riess; (11 Sep 2014) (6 Jan 2014); arXiv:1409.3484
  44. Theta divisors with curve summands and the Schottky problem; Stefan Schreieder; (10 Sep 2014); arXiv:1409.3134
  45. GV-subschemes and their embeddings in principally polarized abelian varieties; Luigi Lombardi, Sofia Tirabassi; (25 Jul 2014); arXiv:1407.6835
  46. A note on the abundance conjecture; Tobias Dorsch, Vladimir Lazic; (25 Jun 2014); arXiv:1406.6554
  47. The Fano variety of lines and rationality problem for a cubic hypersurface; Sergey Galkin, Evgeny Shinder; (20 May 2014); arXiv:1405.5154
  48. P-functor versions of the Nakajima operators; Andreas Krug; (5 May 2014); arXiv:1405.1006
  49. Birational Geometry of Singular Moduli Spaces of O'Grady Type; Ciaran Meachan, Ziyu Zhang; (27 Apr 2014); arXiv:1404.6783
  50. On the derived category of the Hilbert scheme of points on an Enriques surface; Andreas Krug, Pawel Sosna; (8 Apr 2014); arXiv:1404.2105
  51. On Global Deformations of Quartic Double Solids; Tobias Dorsch; (24 Feb 2014); arXiv:1402.5740
  52. Spherical functors on the Kummer surface; Andreas Krug, Ciaran Meachan; (7 Feb 2014); arXiv:1402.1651
  53. The Moduli of Singular Curves on K3 Surfaces; Michael Kemeny; (6 Jan 2014); arXiv:1401.1047
  54. 2013
  55. The critical CoHA of a self dual quiver with potential; Ben Davison; (27 Nov 2013); arXiv:1311.7172
  56. Purity of critical cohomology and Kac's conjecture; Ben Davison; (27 Nov 2013); arXiv:1311.6989
  57. On derived categories of K3 surfaces and Mathieu groups; Daniel Huybrechts; (25 Sep 2013); arXiv:1309.6528
  58. Purity for graded potentials and quantum cluster positivity; Ben Davison, Davesh Maulik, Joerg Schuermann, Balazs Szendroi; (12 Jul 2013); arXiv:1307.3379
  59. A note on the Kähler and Mori cones of manifolds of K3^[n] type; Giovanni Mongardi; (1 July 2013); arXiv:1307.0393
  60. Twisted cubics on cubic fourfolds; Christian Lehn, Manfred Lehn, Christoph Sorger, Duco van Straten; (1 May 2013); arXiv:1305.0178
  61. On natural deformations of symplectic automorphisms of manifolds of K3^[n] type; Giovanni Mongardi; (24 Apr 2013); arXiv:1304.6630
  62. Supersingular K3 surfaces are unirational; Christian Liedtke; (20 Apr 2013); arXiv:1304.5623
  63. Multiplicative sub-Hodge structures of conjugate varieties; Stefan Schreieder; (18 Apr 2013); arXiv:1304.5146
  64. On the Chow ring of birational irreducible symplectic varieties; Ulrike Greiner; (16 Apr 2013); arXiv:1304.4404
  65. ACM bundles on cubic threefolds and fourfolds containing a plane; Martí Lahoz, Emanuele Macrì, Paolo Stellari; (27 Mar 2013); arXiv:1303.6998
  66. Curves and cycles on K3 surfaces; Daniel Huybrechts (with an appendix by C. Voisin); (19 Mar 2013); arXiv:1303.4564
  67. New derived autoequivalences of Hilbert schemes and generalised Kummer varieties; Andreas Krug; (21 Jan 2013); arXiv:1301.4970
  68. 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
  69. On the construction problem for Hodge numbers; Stefan Schreieder; (03 Jan 2013); arXiv:1301.0478
  70. 2012
  71. Derived autoequivalences of generalised Kummer varieties; Ciaran Meachan; (20 Dec 2012); arXiv:1212.5286
  72. Derived algebraic bordism; Parker Lowrey, Timo Schürg; (29 Nov 2012); arXiv:1211.7023
  73. Tensor products of tautological bundles under the Bridgeland-King-Reid-Haiman equivalence; Andreas Krug; (07 Nov 2012); arXiv:arXiv:1211.1640
  74. More Reduced Obstruction Theories; Timo Schürg; (20 Sep 2012); arXiv:1209.4631
  75. Grothendieck-Riemann-Roch for derived schemes;Parker Lowrey, Timo Schürg; (30 Aug 2012); arXiv:1208.6325
  76. The motivic Donaldson-Thomas invariants of (-2) curves; Ben Davison, Sven Meinhardt; (12 Aug 2012); arXiv:1208.2462
  77. A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space; Emanuele Macrì; (20 Jul 2012); arXiv:1207.4980
  78. Symplectic automorphisms of K3 surfaces of arbitrary order; Daniel Huybrechts; (15 May 2012); arXiv:1205.3433
  79. Projectivity and Birational Geometry of Bridgeland moduli spaces; Arend Bayer, Emanuele Macri; (20 Mar 2012); arXiv:arXiv:1203.4613
  80. Stable maps and Chow groups; Daniel Huybrechts, Michael Kemeny; (22 Feb 2012); arXiv:1202.4968
  81. 2011
  82. On the Iitaka fibration of varieties of maximal Albanese dimension; Zhi Jiang, Martí Lahoz, Sofia Tirabassi; (27 Nov 2011); arXiv:1111.6279
  83. Introduction to stability conditions. Lectures at the Newton Institute January 2011; Daniel Huybrechts; (07 Nov 2012); arXiv:1111.1745v1
  84. The Universal Severi Variety of Rational Curves on K3 Surfaces; Michael Kemeny; (19 Oct 2011); arXiv:1110.4266
  85. Lagrangian fibrations on hyperkähler fourfolds; Daniel Greb, Christian Lehn, Sönke Rollenske; (12 Oct 2011); arXiv:1110.2680
  86. Motivic DT-invariants for the one loop quiver with potential; Ben Davison, Sven Meinhardt; (30 Aug 2011); arXiv:1108.5956
  87. A Global Torelli theorem for hyperkähler manifolds (after Verbitsky). Seminaire Bourbaki June 2011; Daniel Huybrechts; (28 Jun 2012); arXiv:1106.5573
  88. 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
  89. Lagrangian fibrations on hyperkähler manifolds - On a question of Beauville; Daniel Greb, Christian Lehn, Sönke Rollenske; (17 May 2011); arXiv:1105.3410
  90. Bridgeland Stability conditions on threefolds I: Bogomolov-Gieseker type inequalities; Arend Bayer, Emanuele Macri, Yukinobu Toda; (25 Mar 2011); arXiv:1103.5010
  91. Period- and mirror-maps for the quartic K3; Heinrich Hartmann; (24 Jan 2011); arXiv:1101.4601
  92. 2010
  93. Cusps of the Kähler moduli space and stability conditions on K3 surfaces; Heinrich Hartmann; (14 Dec 2010); arXiv:1012.3121
  94. Stability conditions via spherical objects; Daniel Huybrechts; (22 Sep 2010); arXiv:1009.4372
  95. A note on the Bloch-Beilinson conjecture for K3 surfaces and spherical objects; Daniel Huybrechts; (22 Sep 2010); arXiv:1009.4371
  96. Hyperkähler manifolds and sheaves. Daniel Huybrechts; Proceedings of the International Congress of Mathematicians. Volume II,450-460. pdf-file
  97. Torsion in equivariant cohomology and Cohen-Macaulay G-actions; Oliver Goertsches, Sönke Rollenske; (01 Sep 2010); arXiv:1009.0120
  98. Dolbeault cohomology of nilmanifolds with left-invariant complex structure; Sönke Rollenske; (22 Jun 2010); arXiv:1006.4224
  99. 2009
  100. Chow groups and derived categories of K3 surfaces; Daniel Huybrechts; (29 Dec 2009); arXiv:0912.5299v1
  101. The space of stability conditions on the local projective plane; Arend Bayer, Emanuele Macri; (01 Dec 2009); arXiv:0912.0043
  102. Fano varieties of cubic fourfolds containing a plane; Emanuele Macri, Paolo Stellari; (15 Sep 2009); arXiv:0909.2725
  103. On the Andre motive of certain irreducible symplectic varieties; Ulrich Schlickewei; (10 Sep 2009); arXiv:0909.1889
  104. Stability of tautological vector bundles on Hilbert squares of surfaces; Ulrich Schlickewei (10. Sep 2009) arXiv:0912.0909.1888
  105. The Hodge conjecture for self-products of certain K3 surfaces; Ulrich Schlickewei; (15 Jul 2009) arXiv:0907.2503
  106. Compact moduli for certain Kodaira fibrations; Sönke Rollenske; (15 May 2009); arXiv:0905.2536
  107. Rouquier's cocovering theorem and well-generated triangulated categories; Daniel Murfet; (17 Apr 2009); arXiv:0904.2685
  108. A categorical invariant for cubic threefolds; Marcello Bernardara, Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari; (25 Mar 2009); arXiv:0903.4414
  109. Hodge classes on self-products of K3 surfaces; Ulrich Schlickewei; In: Bonner Mathematische Schriften, volume 395, 2009. (Ph.D. thesis)
  110. Totally acyclic complexes over noetherian schemes; Daniel Murfet, Shokrollah Salarian; (17 Feb 2009); arXiv:0902.3013
  111. 2008
  112. Derived and abelian equivalence of K3 surface; D. HuybrechtsJ. Alg. Geom. 17 (2008); math.AG/0604150
  113. Stability conditions for generic K3 categories; Daniel Huybrechts, Emanuele Macri, Paolo Stellari); Comp. math. 144 (2008); math.AG/0608430
  114. Stable pairs on elliptic K3 surfaces; Marcello Bernardara; (26 Nov 2008); arXiv:0811.4326
  115. Formal deformations and their categorical general fibre; Daniel Huybrechts, Emanuele Macri, Paolo Stellari; (18 Sep 2008); arXiv:0809.3201
  116. Chow groups of K3 surfaces and spherical objects; Daniel Huybrechts; (15 Sep 2008); arXiv:0809.2606v1
  117. Deformation-obstruction theory for complexes via Atiyah and Kodaira-Spencer classes; Daniel Huybrechts, Richard Thomas; (22 May 2008); arXiv:0805.3527v1
  118. Quotient categories, stability conditions, and birational geometry; Sven Meinhardt, Holger Partsch; (05 May 2008); arXiv:0805.0492
  119. Infinitesimal Derived Torelli Theorem for K3 surfaces; Emanuele Macri, Paolo Stellari, Sukhendu Mehrotra; (16 Apr 2008); arXiv:0804.2552
  120. Remarks on derived equivalences of Ricci-flat manifolds; Daniel Huybrechts, Marc Nieper-Wisskirchen; (30 Jan 2008); arXiv:0801.4747
  121. 2007
  122. Derived equivalences of K3 surfaces and orientation; Daniel Huybrechts, E. Macri, P. Stellari; (08 Oct 2077); arXiv:0710.1645v2
  123. Stability conditions on generic complex tori; Sven Meinhardt; (22 Aug 2007); arXiv:0708.3053
  124. Derived equivalences of K3 surfaces and orientation; Daniel Huybrechts, Emanuele Macri, Paolo Stellari; (08 Oct 2007); arXiv:0710.1645
  125. Stability conditions on curves; Emanuele Macri; (25 May 2007); arXiv:0705.3794
  126. Inducing stability conditions; Emanuele Macri, Sukhendu Mehrotra, Paolo Stellari; (25 May 2007); arXiv:0705.3752
  127. Automorphisms and autoequivalences of generic analytic K3 surfaces; Emanuele Macri, Paolo Stellari; (27 Feb 2007); arXiv:0702848
  128. 2006
  129. The global Torelli theorem: classical; derived, twisted; D. Huybrechts; Proc. of the Seattle conference; (01 Sep 2006; arXiv:0609017v1
  130. P-objects and autoequivalences of derived categories; D. Huybrechts, Richard Thomas; MRL 13 (2006), 87-98 math.AG/0507040
  131. 2005


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