Compact hyper-Kahler categories

被引：0
|
作者：
Abuaf, Roland
机构：
来源：
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE | 2022年 / 23卷 / 03期
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
  • [41] DECOMPOSITION OF THE EXTERIOR ALGEBRA OF HYPER-KAHLER MANIFOLDS
    BONAN, E
    COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1995, 320 (04): : 457 - 462
  • [42] ON HYPER-KAHLER MANIFOLDS OF TYPE-A-INFINITY
    GOTO, R
    GEOMETRIC AND FUNCTIONAL ANALYSIS, 1994, 4 (04) : 424 - 454
  • [43] THE CONSTRUCTION OF ALE SPACES AS HYPER-KAHLER QUOTIENTS
    KRONHEIMER, PB
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1989, 29 (03) : 665 - 683
  • [44] Hyper-Kahler manifolds and multiply intersecting branes
    Gauntlett, JP
    Gibbons, GW
    Papadopoulos, G
    Townsend, PK
    NUCLEAR PHYSICS B, 1997, 500 (1-3) : 133 - 162
  • [45] Quaternionic contact hypersurfaces in hyper-Kahler manifolds
    Ivanov, Stefan
    Minchev, Ivan
    Vassilev, Dimiter
    ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (01) : 245 - 267
  • [46] Hyper-Kahler quotients of solvable Lie groups
    Barberis, ML
    Dotti, I
    Fino, A
    JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (04) : 691 - 711
  • [47] Asymptotic base loci on hyper-Kahler manifolds
    Denisi, Francesco Antonio
    Ortiz, Angel David Rios
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2024,
  • [48] Gravitational instantons admit hyper-Kahler structure
    Aliev, AN
    Nutku, Y
    CLASSICAL AND QUANTUM GRAVITY, 1999, 16 (01) : 189 - 210
  • [49] On the Hodge and Betti Numbers of Hyper-Kahler Manifolds
    Beri, Pietro
    Debarre, Olivier
    MILAN JOURNAL OF MATHEMATICS, 2022, 90 (02) : 417 - 431
  • [50] Hyper-Kahler Fourfolds Fibered by Elliptic Products
    Kamenova, Ljudmila
    EPIJOURNAL DE GEOMETRIE ALGEBRIQUE, 2018, 2
12345