The Chow Ring of the Moduli Space of Abelian Threefolds

Gerard van der Geer

The Chow Ring of the Moduli Space of Abelian Threefolds

alg-geom 2008-10-14 v3 Algebraic Geometry

Authors: Gerard van der Geer

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.

Keywords

Chow ring moduli space abelian threefolds Delaunay-Voronoi compactification equivariant classes

Cite

@article{arxiv.alg-geom/9702009,
  title  = {The Chow Ring of the Moduli Space of Abelian Threefolds},
  author = {Gerard van der Geer},
  journal= {arXiv preprint arXiv:alg-geom/9702009},
  year   = {2008}
}

Comments

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

The Chow Ring of the Moduli Space of Abelian Threefolds

Abstract

Keywords

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