The Chern invariants for parabolic bundles at multiple points

DOI10.1515/ADVGEOM-2012-0039zbMATH Open1276.14027arXiv1110.5438OpenAlexW2963020125MaRDI QIDQ2844292

Chadi Hassan Taher

Publication date: 28 August 2013

Published in: Advances in Geometry (Search for Journal in Brave)

Abstract: If $DinX$ 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.

Full work available at URL: https://arxiv.org/abs/1110.5438

zbMATH Keywords

Riemann-Rochvector bundleChern characterblowing upparabolic bundleGysin mapBogomolov-Gieseker inequalityparabolic bundle on a surfaceparabolic Chern invariant

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Riemann-Roch theorems, Chern characters (19L10)

Related Items (1)

Calculating the parabolic Chern character of a locally abelian parabolic bundle

This page was built for publication: The Chern invariants for parabolic bundles at multiple points

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q2844292)