A relation between the parabolic Chern characters of the de Rham bundles |
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Authors: | Jaya N. N. Iyer Carlos T. Simpson |
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Affiliation: | (1) School of Mathematics, Institute for Advanced Study, 1 Einstein Drive, Princeton, 08540, NJ, USA;(2) The Institute of Mathematical Sciences, CIT Campus, Taramani, Chennai, 600113, India;(3) CNRS, Laboratoire J.-A. Dieudonné, Université de Nice–Sophia Antipolis, Parc Valrose, 06108 Nice Cedex 02, France |
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Abstract: | In this paper, we consider the weight i de Rham–Gauss–Manin bundles on a smooth variety arising from a smooth projective morphism for . 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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Keywords: | 14C25 14D05 14D20 14D21 |
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