The Chow Ring of the Moduli Space of Abelian Threefolds

Abstract

In this paper we determine the structure of the Chow ring of the Delaunay-Voronoi compactification ${\tilde{\mathcal{A}}}_3$ of the moduli space of principally polarized abelian threefolds. This compactification was introduced by Namikawa and studied by Tsushima. We use equivariant classes on level coverings of ${\tilde{\mathcal{A}}}_3$. We also compare this ring with the Chow ring of the moduli space of stable genus 3 curves as determined by Faber.

arXiv commentPlain TeX, 17 pages. This version corrects two inaccuracies of the Journal of Algebraic Geometry version

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