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The de Rham Bundle on a Compactification of Moduli Space of Abelian Varieties

Published online by Cambridge University Press:  04 December 2007

Jaya N. Iyer
Jaya N. Iyer
Affiliation:
FB6, Mathematik, Universitat GH Essen, 45117 Essen, Germany. e-mail: [email protected]
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Abstract

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In this paper, we show that the Chern classes ck of the de Rham bundle ${\cal H}_{{\rm d}R}$ defined on any ‘good’ toroidal compactification $\bar{\cal A}_g$ of the moduli space of Abelian varieties of dimension g are zero in the rational Chow ring of $\bar{\cal A}_g$, for g = 4, 5 and k>0.

Keywords

Chern classesChow groupsPrym varieties
Type
Research Article
Information
Compositio Mathematica , Volume 136 , Issue 3 , May 2003 , pp. 317 - 321
Copyright
© 2003 Kluwer Academic Publishers