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.
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页码：809 / 818
页数：10
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