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

  • Faber C
  • van der Geer G
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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. © 2004 Académie des sciences. Publié par Elsevier SAS. Tous droits réservés.

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Authors

  • Carel Faber

  • Gerard van der Geer

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