Vol. 2, No. 7, 2008
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The moduli space of curves is rigid

Paul Hacking

Vol. 2 (2008), No. 7, 809-818
Abstract

We prove that the moduli stack Mg,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.
Keywords

moduli, curve, rigidity

Mathematical Subject Classification

Primary: 14H10
Authors
Paul Hacking
Department of Mathematics
University of Washington
Box 354350
Seattle, WA 98195-4350
United States