The Chow Ring of the Moduli Space of Abelian Threefolds

Gerard van der Geer

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arXiv · alg-geom/9702009

The Chow Ring of the Moduli Space of Abelian Threefolds

Gerard van der Geer

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Abstract

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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Gerard van der Geer. 2008-10-14. The Chow Ring of the Moduli Space of Abelian Threefolds. https://arxiv.org/abs/alg-geom/9702009

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