Calculating the parabolic Chern character of a locally abelian parabolic bundle

Details Calculating the parabolic Chern character of a locally abelian parabolic bundle Calculating the parabolic Chern character of a locally abelian parabolic bundle

2009-04-06

arxiv.org/abs/0904.0927v1

Mathematics

Algebraic Geometry

Scientific paper

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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