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

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For a partition $lambda=\{lambda_1 \geq λ_2 \geq λ_3 \}$ of non-negative integers, we calculate the Euler characteristic of the local system $V_λ$ on the moduli space of genus 3 hyperelliptic curves using a suitable stratification. For some $λ$ of low degree, we make a guess for the motivic Euler characteristic of $V_λ$ using counting of curves over finite fields.
12 pages, Latex; Table 5 corrected

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Algebraic Geometry, 14J15

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http://salesiana.dossiersoluciones.com/handle/123456789/71280

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0405427
 http://arxiv.org/abs/math/0405427

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arXiv