Abstract
We prove that the moduli stack of stable curves of genus with 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.
Citation
Paul Hacking. "The moduli space of curves is rigid." Algebra Number Theory 2 (7) 809 - 818, 2008. https://doi.org/10.2140/ant.2008.2.809
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