The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three

Details The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three

2007-05-02

arxiv.org/abs/0705.0293v1

Mathematics

Algebraic Geometry

Scientific paper

We show how to calculate the Euler characteristic of a local system
associated to an irreducible representation of the symplectic group of genus 3
on the moduli space of curves of genus 3 and the moduli space of principally
polarized abelian varieties of dimension 3.

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