Algebra & Number Theory
- Algebra Number Theory
- Volume 2, Number 7 (2008), 809-818.
The moduli space of curves is rigid
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.
Algebra Number Theory, Volume 2, Number 7 (2008), 809-818.
Received: 30 November 2007
Revised: 6 August 2008
Accepted: 17 September 2008
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 14H10: Families, moduli (algebraic)
Hacking, Paul. The moduli space of curves is rigid. Algebra Number Theory 2 (2008), no. 7, 809--818. doi:10.2140/ant.2008.2.809. https://projecteuclid.org/euclid.ant/1513797320