Mathematical Research Letters

Volume 12 (2005)

Number 5

Chern Classes of the Moduli Stack of Curves

Pages: 759 – 766

DOI: https://dx.doi.org/10.4310/MRL.2005.v12.n5.a12

Author

Gilberto Bini (Università degli Studi di Milano)

Abstract

Here we calculate the Chern classes of ${\overline{\mathcal M}}_{g,n}$, the moduli stack of stable $n$-pointed genus $g$ curves. In particular, we prove that such classes lie in the tautological ring.

Published 1 January 2005