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

被引：15
|
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
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