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arXiv · 0705.0293

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

Jonas Bergström·Gerard van der Geer
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Abstract

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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Jonas Bergström, Gerard van der Geer. 2007-05-02. The Euler characteristic of local systems on the moduli of curves and abelian varieties of genus three. https://doi.org/10.1112/jtopol%2Fjtn015

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