Cycles Representing The Top Chern Class of the Hodge Bundle on the Moduli Space of Abelian Varieties

2004/02/17 by Torsten Ekedahl, Gerard van der Geer, Ekedahl, Torsten +1
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Homotopy and Cohomology in Algebraic Topology #math.AG #msc:14K10

paper · pdf · doi:10.48550/arxiv.math/0402274

10 pages

arxiv created 2004/02/17 · arxiv updated 2009/12/01

Abstract

We give a generalization to higher genera of the famous formula 12 λ=δ for genus 1. We also compute the classes of certain strata in the Satake compactification as elements of the push down of the tautological ring.

Related

• The top Chern class of the Hodge bundle on the moduli space of abelian varieties
• Cycles on the Moduli Space of Abelian Varieties
• Computation of λ-classes via strata of differentials
• Tautological projection for cycles on the moduli space of abelian varieties
• The Hodge bundle, the universal 0-section, and the log Chow ring of the moduli space of curves