The Chow Ring of the Moduli Space of Abelian Threefolds

1997/02/07 by van der Geer, Gerard
#14K10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9702009

Abstract

In this paper we determine the structure of the Chow ring of the Delaunay-Voronoi compactification \cal A₃ 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 \cal A₃. We also compare this ring with the Chow ring of the moduli space of stable genus 3 curves as determined by Faber.

Related

• Cohomology of the toroidal compactification of A₃
• Geometry of A_g and Its Compactifications
• The Chow ring of the moduli space of degree 2 quasi-polarized K3 surfaces
• Chow ring of moduli spaces of quasi-polarised K3 surfaces in lower genus
• The (almost) integral Chow ring of M₃