The orbifold cohomology of moduli of genus 3 curves

被引：5

作者：

Pagani, N. ^{[1
]}

Tommasi, O. ^{[1
]}

机构：

[1] Leibniz Univ Hannover, Inst Algebra Geometrie, Welfengarten 1, D-30167 Hannover, Germany

来源：

MANUSCRIPTA MATHEMATICA | 2013年 / 142卷 / 3-4期

关键词：

CHEN-RUAN COHOMOLOGY; RATIONAL COHOMOLOGY; SPACE; STACKS;

D O I：

10.1007/s00229-013-0608-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we study the additive orbifold cohomology of the moduli stack of smooth genus g curves. We show that this problem reduces to investigating the rational cohomology of moduli spaces of cyclic covers of curves where the genus of the covering curve is g. Then we work out the case of genus g = 3. Furthermore, we determine the part of the orbifold cohomology of the Deligne-Mumford compactification of the moduli space of genus 3 curves that comes from the Zariski closure of the inertia stack of .

引用

页码：409 / 437

页数：29

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