A relation between the parabolic Chern characters of the de Rham bundles

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In this paper, we consider the weight $i$ de Rham--Gauss--Manin bundles on a smooth variety arising from a smooth projective morphism $f:X\_U\lrar U$ for $i\geq 0$. We associate to each weight $i$ de Rham bundle, a certain parabolic bundle on $S$ and consider their parabolic Chern characters in the rational Chow groups, for a good compactification $S$ of $U$. We show the triviality of the alternating sum of these parabolic bundles in the (positive degree) rational Chow groups. This removes the hypothesis of semistable reduction in the original result of this kind due to Esnault and Viehweg.
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Algebraic Geometry, 14C25; 14D05

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http://salesiana.dossiersoluciones.com/handle/123456789/110351

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0603677
 http://arxiv.org/abs/math/0603677

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arXiv