The de Rham bundle on a compactification of moduli space of abelian varieties

Iyer, Jaya N. (2003) The de Rham bundle on a compactification of moduli space of abelian varieties Compositio Mathematica, 136 (3). pp. 317-321. ISSN 0010-437X

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Official URL: http://link.springer.com/article/10.1023/A:1023255...

Related URL: http://dx.doi.org/10.1023/A:1023255229805

Abstract

In this paper, we show that the Chern classes ck of the de Rham bundle HdR defined on any ‘good’ toroidal compactification ̅Ag of the moduli space of Abelian varieties of dimension g are zero in the rational Chow ring of ̅Ag, for g = 4, 5 and k>0.

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