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The de Rham Bundle on a Compactification of Moduli Space of Abelian Varieties
Authors:Jaya N Iyer
Institution:(1) FB6, Mathematik, Universitat GH Essen, 45117 Essen, Germany
Abstract:In this paper, we show that the Chern classes c k of the de Rham bundle 
$$\mathcal{H}_{{\text{dR}}}$$
defined on any lsquogoodrsquo toroidal compactification 
$${\bar {\mathcal{A}_g}}$$
of the moduli space of Abelian varieties of dimension g are zero in the rational Chow ring of 
$${\bar {\mathcal{A}_g}}$$
, for gthinsp=thinsp4, 5 and k>0.
Keywords:Chern classes  Chow groups  Prym varieties
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