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arXiv · 0904.0927

Calculating the parabolic Chern character of a locally abelian parabolic bundle

Chadi Taher
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Abstract

We calculate the parabolic Chern character of a bundle with locally abelian parabolic structure on a smooth strict normal crossings divisor, using the definition in terms of Deligne-Mumford stacks. We obtain explicit formulas for $ch_1$, $ch_2$ and $ch_3$, and verify that these correspond to the formulas given by Borne for $ch_1$ and Mochizuki for $ch_2$.

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Chadi Taher. 2009-04-06. Calculating the parabolic Chern character of a locally abelian parabolic bundle. https://arxiv.org/abs/0904.0927

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