Compact hyper-Kahler categories

被引:0
|
作者
Abuaf, Roland
机构
关键词
HYPERKAHLER MANIFOLDS; MODULI SPACES; MCKAY CORRESPONDENCE; COHOMOLOGY; SHEAVES; RESOLUTIONS;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define and study the notion of hyper-Kahler category. On the theoretical side, we focus on construction techniques and deformation theory of such categories. We also study in details some examples: non-commutative Hilbert schemes of points on a K3 surface and a categorical resolution of a relative compactified Prymian constructed by Markushevich and Tikhomirov.
引用
收藏
页码:1525 / 1563
页数:39
相关论文
共 50 条
  • [31] Hyper-Kahler geometry via dualization
    Burdik, C.
    Krivonos, S.
    Shcherbakov, A.
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2006, 56 (10-11) : 1099 - 1103
  • [32] Topics in Hyper-Kahler Geometry Foreword
    Debarre, Olivier
    Huybrechts, Daniel
    Macri, Emanuele
    Voisin, Claire
    Tomarelli, Franco
    Stellari, Paolo
    MILAN JOURNAL OF MATHEMATICS, 2022, 90 (02) : 303 - 304
  • [33] A SURVEY ON HYPER-KAHLER WITH TORSION GEOMETRY
    Barberis, M. L.
    REVISTA DE LA UNION MATEMATICA ARGENTINA, 2008, 49 (02): : 121 - 131
  • [34] REMARKS ON DEGENERATIONS OF HYPER-KAHLER MANIFOLDS
    Kollar, Janos
    Laza, Radu
    Sacca, Giulia
    Voisin, Claire
    ANNALES DE L INSTITUT FOURIER, 2018, 68 (07) : 2837 - 2882
  • [35] Heterotic Hyper-Kahler flux backgrounds
    Halmagyi, Nick
    Israel, Dan
    Sarkis, Matthieu
    Svanes, Eirik Eik
    JOURNAL OF HIGH ENERGY PHYSICS, 2017, (08):
  • [36] HYPER-KAHLER METRICS BUILDING AND INTEGRABLE MODELS
    SAIDI, EH
    SEDRA, MB
    MODERN PHYSICS LETTERS A, 1994, 9 (34) : 3163 - 3173
  • [37] Explicit derivation of a new hyper-Kahler metric
    Sedra, MB
    NUCLEAR PHYSICS B, 1998, 513 (03) : 709 - 722
  • [38] QUATERNIONIC KAHLER AND HYPER-KAHLER NONLINEAR SIGMA-MODELS
    GALICKI, K
    NUCLEAR PHYSICS B, 1986, 271 (02) : 402 - 416
  • [39] Hypermultiplets, hyper-Kahler cones and quaternion-Kahler geometry
    de Wit, B
    Rocek, M
    Vandoren, S
    JOURNAL OF HIGH ENERGY PHYSICS, 2001, (02):
  • [40] Twister spaces for hyper-Kahler manifolds with torsion
    Howe, PS
    Papadopoulos, G
    PHYSICS LETTERS B, 1996, 379 (1-4) : 80 - 86