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Calculating the parabolic Chern character of a locally abelian parabolic bundle

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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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  1. Laboratoire J. A. Dieudonné, UMR 6621, Université de Nice-Sophia Antipolis, 06108, Nice Cedex 2, France

    Chadi Hassan Taher

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  1. Chadi Hassan Taher
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Correspondence to Chadi Hassan Taher.

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Taher, C.H. Calculating the parabolic Chern character of a locally abelian parabolic bundle. manuscripta math. 132, 169–198 (2010). https://doi.org/10.1007/s00229-010-0342-8

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  • DOI: https://doi.org/10.1007/s00229-010-0342-8

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