For a partition $\lambda=\{\lambda_1\geq \lambda_2\geq \lambda_3\geq 0\}$ of non-negative integers, we calculate the Euler characteristic of the local system $\Bbb V_\lambda$ 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 $\Bbb V_\lambda$ using the counting of curves over finite fields.
The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves / G. Bini, G. van der Geer. - In: MATHEMATISCHE ANNALEN. - ISSN 0025-5831. - 332:2(2005), pp. 367-379.
The Euler characteristic of local systems on the moduli of genus 3 hyperelliptic curves
G. BiniPrimo
;
2005
Abstract
For a partition $\lambda=\{\lambda_1\geq \lambda_2\geq \lambda_3\geq 0\}$ of non-negative integers, we calculate the Euler characteristic of the local system $\Bbb V_\lambda$ 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 $\Bbb V_\lambda$ using the counting of curves over finite fields.
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