On the conjecture of King for smooth toric Deligne-Mumford stacks

被引：32
|
作者：
Borisov, Lev [1 ]
Hua, Zheng [1 ]
机构：
[1] Univ Wisconsin, Dept Math, Madison, WI 53706 USA
来源：
ADVANCES IN MATHEMATICS | 2009年 / 221卷 / 01期
基金：
美国国家科学基金会;
关键词：
Tilting bundles; Toric stacks; Exceptional collection; Line bundles; Zonotopes; VARIETIES;
D O I：
10.1016/j.aim.2008.11.017
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct full strong exceptional collections of line bundles on smooth toric Fano Deligne-Mumford stacks of Picard number at most two and of any Picard number in dimension two. It is hoped that the approach of this paper will eventually lead to the proof of the existence of such collections on all smooth toric nef-Fano Deligne-Mumford stacks. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：277 / 301
页数：25
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