The Chow Ring of the Moduli Space of Abelian Threefolds

Details The Chow Ring of the Moduli Space of Abelian Threefolds The Chow Ring of the Moduli Space of Abelian Threefolds

1997-02-07

arxiv.org/abs/alg-geom/9702009v3

Mathematics

Algebraic Geometry

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

Scientific paper

In this paper we determine the structure of the Chow ring of the Delaunay-Voronoi compactification $\tilde{\cal A}_3$ 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 $\tilde{\cal A}_3$. We also compare this ring with the Chow ring of the moduli space of stable genus 3 curves as determined by Faber.

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