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

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.

References in corpus (2)

• Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes
• Cohomology of moduli spaces of curves of genus three via point counts

Cited by in corpus (9)

• Moduli of Hyperelliptic Curves and Multiple Dirichlet Series
• Cohomology of moduli spaces via a result of Chenevier and Lannes
• Cohomology of local systems on loci of d-elliptic abelian surfaces
• Cohomology of moduli spaces of curves of genus three via point counts
• Towards Functoriality Of Spinor L-functions
• Siegel modular forms of genus 2 and level 2: cohomological computations and conjectures
• Cohomology of the second Voronoi compactification of A_4
• The equivariant Euler characteristic of moduli spaces of curves
• Exploring modular forms and the cohomology of local systems on moduli spaces by counting points