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

Abstract

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.

17 pages

References in corpus (2)

• Sur la cohomologie des systèmes locaux sur les espaces des modules des courbes de genre 2 et des surfaces abéliennes
• Cycle Classes of the E-O Stratification on the Moduli of Abelian Varieties