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Advances in Geometry

Managing Editor: Grundhöfer, Theo / Joswig, Michael

Editorial Board: Bannai, Eiichi / Coskun, Izzet / Duzaar, Frank / Eberlein, Patrick / Gentili, Graziano / Henk, Martin / Kantor, William M. / Korchmaros, Gabor / Kreuzer, Alexander / Lagarias, Jeffrey C. / Leistner, Thomas / Löwen, Rainer / Ono, Kaoru / Pasini, Antonio / Ratcliffe, John G. / Scharlau, Rudolf / Scheiderer, Claus / Van Maldeghem, Hendrik / Weintraub, Steven H. / Weiss, Richard

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Volume 13, Issue 3

Issues

The Chern invariants for parabolic bundles at multiple points

Chadi Hassan Taher
  • Corresponding author
  • Laboratoire J. A. Dieudonné, UMR 6621 Université Nice Sophia-Antipolis, 06108 Nice, Cedex 2, France
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Published Online: 2013-07-11 | DOI: https://doi.org/10.1515/advgeom-2012-0039

Abstract

If D ⊂ X is a curve with multiple points in a surface, a parabolic bundle defined on (X;D) away from the singularities can be extended in several ways to a parabolic bundle on a resolution of singularities. We investigate the possible parabolic Chern classes for these extensions.

Keywords: Parabolic bundle; Chern character; Riemann-Roch; Gysin map; Bogomolov-Giesker inequality; birational transformation; exceptional divisor; elementary transformation

About the article

Published Online: 2013-07-11

Published in Print: 2013-07-01


Citation Information: Advances in Geometry, Volume 13, Issue 3, Pages 547–570, ISSN (Online) 1615-7168, ISSN (Print) 1615-715X, DOI: https://doi.org/10.1515/advgeom-2012-0039.

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