Euler Characteristics of Moduli Spaces of Curves

Details Euler Characteristics of Moduli Spaces of Curves Euler Characteristics of Moduli Spaces of Curves

2005-06-05

arxiv.org/abs/math/0506083v1

Mathematics

Algebraic Geometry

Scientific paper

Let ${mathcal M}_g^n$ be the moduli space of n-pointed Riemann surfaces of
genus g. Denote by ${\bar {\mathcal M}}_g^n$ the Deligne-Mumford
compactification of ${mathcal M}_g^n$. In the present paper, we calculate the
orbifold and the ordinary Euler characteristic of ${\bar {\mathcal M}}_g^n$ for
any g and n such that n>2-2g.

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