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

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We consider the cohomology of local systems on the moduli space of curves of genus 2 and the moduli space of abelian surfaces. We give an explicit formula for the Eisenstein cohomology and a conjectural formula for the endoscopic contribution. We show how counting curves over finite fields provides us with detailed information about Siegel modular forms.
7 pages

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Algebraic Geometry, Number Theory, 11F46; 11G18; 14G35; 14H10

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http://salesiana.dossiersoluciones.com/handle/123456789/67387

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305094
 http://arxiv.org/abs/math/0305094

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arXiv