On multi-pointed non-commutative deformations and Calabi-Yau threefolds

被引：17
|
作者：
Kawamat, Yujiro [1 ]
机构：
[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
来源：
COMPOSITIO MATHEMATICA | 2018年 / 154卷 / 09期
关键词：
non-commutative deformation; simple collection; exceptional object; spherical object; Calabi-Yau threefold; CATEGORIES; SHEAVES; BUNDLES; RINGS;
D O I：
10.1112/S0010437X18007248
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We will develop a theory of multi-pointed non-commutative deformations of a simple collection in an abelian category, and construct relative exceptional objects and relative spherical objects in some cases. This is inspired by a work by Donovan and Wemyss.
引用
收藏
页码：1815 / 1842
页数：28
相关论文
共 39 条
  • [31] Dual pairs of gauged linear sigma models and derived equivalences of Calabi-Yau threefolds
    Gerhardus, Andreas
    Jockers, Hans
    JOURNAL OF GEOMETRY AND PHYSICS, 2017, 114 : 223 - 259
  • [32] Non-commutative deformations and Donaldson-Thomas invariants
    Toda, Yukinobu
    ALGEBRAIC GEOMETRY: SALT LAKE CITY 2015, PT 1, 2018, 97 : 611 - 631
  • [33] Non-Kahler Calabi-Yau geometry and pluriclosed flow
    Garcia-Fernandez, Mario
    Jordan, Joshua
    Streets, Jeffrey
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2023, 177 : 329 - 367
  • [34] On non-commutative formal deformations of coherent sheaves on an algebraic variety
    Kawamata, Yujiro
    EMS SURVEYS IN MATHEMATICAL SCIENCES, 2021, 8 (1-2) : 237 - 263
  • [35] Modular bootstrap for D4-D2-D0 indices on compact Calabi-Yau threefolds
    Alexandrov, Sergei
    Gaddam, Nava
    Manschot, Jan
    Pioline, Boris
    ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS, 2023, 27 (03) : 683 - 744
  • [36] Non-commutative deformations of simple objects in a category of perverse coherent sheaves
    Kawamata, Yujiro
    SELECTA MATHEMATICA-NEW SERIES, 2020, 26 (03):
  • [37] Non-commutative deformations of simple objects in a category of perverse coherent sheaves
    Yujiro Kawamata
    Selecta Mathematica, 2020, 26
  • [38] Classification of double octic Calabi-Yau threefolds with h1,2 ≤ 1 defined by an arrangement of eight planes
    Cynk, Slawomir
    Kocel-Cynk, Beata
    COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2020, 22 (01)
  • [39] A construction of non-Kahler Calabi-Yau manifolds and new solutions to the Strominger system
    Fei, Teng
    ADVANCES IN MATHEMATICS, 2016, 302 : 529 - 550
1234