ON STRONG EXCEPTIONAL COLLECTIONS OF LINE BUNDLES OF MAXIMAL LENGTH ON FANO TORIC DELIGNE-MUMFORD STACKS

被引：0

作者：

Borisov, Lev ^{[1
]}

Wang, Chengxi ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

ASIAN JOURNAL OF MATHEMATICS | 2021年 / 25卷 / 04期

关键词：

toric Deligne-Mumford stacks; Picard groups; strong exceptional collections; line bundles; derived categories;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study strong exceptional collections of line bundles on Patio toric Deligne-Mumford stacks P-Sigma with rank of Picard group at most two. We prove that any strong exceptional collection of line bundles generates the derived category of P-Sigma, as long as the number of elements in the collection equals the rank of the (Grothendieck) K-theory group of P-Sigma.

引用

页码：505 / 520

页数：16