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

Mathematics – Algebraic Geometry

Scientific paper

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7 pages

Scientific paper

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.

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