Parabolic bundles on algebraic surfaces I- the Donaldson--Uhlenbeck compactification
Algebraic Geometry
2007-05-23 v1 Differential Geometry
Abstract
The aim of this paper is to construct the parabolic version of the Donaldson--Uhlenbeck compactification for the moduli space of parabolic stable bundles on an algenraic surface with parabolic structures along a divisor with normal crossing singularities. We prove the non--emptiness of the moduli space of parabolic stable bundles of rank 2 and also prove the existence of components with smooth points.
Keywords
Cite
@article{arxiv.math/0601274,
title = {Parabolic bundles on algebraic surfaces I- the Donaldson--Uhlenbeck compactification},
author = {V. Balaji and A. Dey and R. Parthasarathi},
journal= {arXiv preprint arXiv:math/0601274},
year = {2007}
}