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The top Chern class of the Hodge bundle on the moduli space of abelian varieties

Torsten Ekedahl, Gerard van der Geer

math.AGarXiv:math/0009104

Abstract

We give upper and lower bounds for the order of the top Chern class of the Hodge bundle on the moduli space of principally polarized abelian varieties. We also give a generalization to higher genera of the famous formula 12 λ1=δ for genus 1.

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