Counting lattice points in the moduli space of curves

Details Counting lattice points in the moduli space of curves Counting lattice points in the moduli space of curves

2008-01-30

arxiv.org/abs/0801.4590v1

Mathematics

Algebraic Geometry

15 pages, 5figures

Scientific paper

We show how to define and count lattice points in the moduli space
$\modm_{g,n}$ of genus g curves with n labeled points. This produces a
polynomial with coefficients that include the Euler characteristic of the
moduli space, and tautological intersection numbers on the compactified moduli
space.

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