The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves

Abstract

For a partition $lambda=\{lambd{a}_1\ge {\lambda }_2\ge {\lambda }_3\}$ of non-negative integers, we calculate the Euler characteristic of the local system $V_{\lambda }$ on the moduli space of genus 3 hyperelliptic curves using a suitable stratification. For some $\lambda$ of low degree, we make a guess for the motivic Euler characteristic of $V_{\lambda }$ using counting of curves over finite fields.

12 pages, Latex; Table 5 corrected

References in corpus (1)

• Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes