The moduli space of curves is rigid

被引：3

作者：

Hacking, Paul ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

ALGEBRA & NUMBER THEORY | 2008年 / 2卷 / 07期

关键词：

moduli; curve; rigidity;

D O I：

10.2140/ant.2008.2.809

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the moduli stack (M) over bar (g,n) of stable curves of genus g with n marked points is rigid, that is, has no infinitesimal deformations. This confirms the first case of a principle proposed by Kapranov. It can also be viewed as a version of Mostow rigidity for the mapping class group.

引用

页码：809 / 818

页数：10

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