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

页码：239 / 266

页数：28

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