Chern Classes of the Moduli Stack of Curves

2005/06/05 by Gilberto Bini, Bini, Gilberto
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0506084

submitted preprint

arxiv created 2005/06/05 · arxiv updated 2009/12/01

Abstract

Here we calculate the Chern classes of \mathcal M_g,n, the moduli stack of stable n-pointed curves. In particular, we prove that such classes lie in the tautological ring.

Related

• Computation of λ-classes via strata of differentials
• The Chern character of the Verlinde bundle over the moduli space of stable curves
• On the tautological ring of M_g,n
• The Chern classes of the Verlinde bundles
• A conjectural description of the tautological ring of the moduli space of curves