K-Theoretic and Categorical Properties of Toric Deligne-Mumford Stacks

被引：13
|
作者：
Coates, Tom [1 ]
Iritani, Hiroshi [2 ]
Jiang, Yunfeng [3 ]
Segal, Ed [1 ]
机构：
[1] Imperial Coll London, Dept Math, 180 Queens Gate, London SW7 2AZ, England
[2] Kyoto Univ, Dept Math, Grad Sch Sci, Sakyo Ku, Kyoto 6068502, Japan
[3] Univ Kansas, Dept Math, Lawrence, KS 66045 USA
来源：
PURE AND APPLIED MATHEMATICS QUARTERLY | 2015年 / 11卷 / 02期
基金：
英国工程与自然科学研究理事会;
关键词：
Toric Deligne-Mumford stacks; orbifolds; K-theory; localization; derived category of coherent sheaves; Fourier-Mukai transformation; flop; K-equivalence; equivariant; variation of GIT quotient; RIEMANN-ROCH THEOREM; GROUP SCHEME ACTIONS; FORMULA; INDEX; RING;
D O I：
10.4310/PAMQ.2015.v11.n2.a3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the following results for toric Deligne-Mumford stacks, under minimal compactness hypotheses: the Localization Theorem in equivariant K-theory; the equivariant Hirzebruch-Riemann-Roch theorem; the Fourier-Mukai transformation associated to a crepant toric wall-crossing gives an equivariant derived equivalence.
引用
收藏
页码：239 / 266
页数：28
相关论文
共 50 条
12345