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arxiv: 0802.2921 · v1 · submitted 2008-02-20 · 🧮 math.AG · math.NT

Rank one Eisenstein cohomology of local systems on the moduli space of abelian varieties

classification 🧮 math.AG math.NT
keywords cohomologyeisensteinabelianformulagivelocalmodulirank
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We give a formula for the Eisenstein cohomology of local systems on the partial compactification of the moduli of principally polarized abelian varieties given by rank 1 degenerations. For genus 2 we give a formula for the full Eisenstein cohomology.

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