Sur la cohomologie des systèmes locaux sur les espaces de modules des courbes de genre 2 et des surfaces abéliennes,I |
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| Authors: | Carel Faber Gerard van der Geer |
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| Institution: | 1. Institutionen för Matematik, Kungliga Tekniska Högskolan, 10044 Stockholm, Suède;2. Korteweg-de Vries Instituut, Universiteit van Amsterdam, Plantage Muidergracht 24, NL-1018 TV Amsterdam, Pays-Bas |
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| Abstract: | 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. To cite this article: C. Faber, G. van der Geer, C. R. Acad. Sci. Paris, Ser. I 338 (2004). |
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