Showing a limited preview of this publication:
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
Published Online: 2013-07-11
Published in Print: 2013-07
© 2013 by Walter de Gruyter GmbH & Co.