The top Chern class of the Hodge bundle on the moduli space of abelian varieties
classification
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abelianbundlechernclassgivehodgemodulispace
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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 $12 \lambda_1=\delta$ for genus 1.
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