Arbeitsgruppe Komplexe Geometrie (Prof. Dr. Daniel Huybrechts)

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


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