On the $S_n$-equivariant Euler characteristic of moduli spaces of hyperelliptic curves

Details On the $S_n$-equivariant Euler characteristic of moduli spaces of hyperelliptic curves On the $S_n$-equivariant Euler characteristic of moduli spaces of hyperelliptic curves

2008-04-18

arxiv.org/abs/0804.2948v1

Mathematics

Algebraic Geometry

18 pages

Scientific paper

The generating function for $S_n$-equivariant Euler characteristics of moduli
spaces of pointed hyperelliptic curves for any genus g>1 is calculated. This
answer generalizes the known ones for genera 2 and 3 and answers obtained by J.
Bergstrom for any genus and n<8 points.

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