Parabolic bundles on algebraic surfaces I- the Donaldson--Uhlenbeck compactification

2006/01/12 by V. Balaji, A. Dey, Balaji, V. +3
Mathematics · #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #math.AG #math.DG

paper · pdf · doi:10.48550/arxiv.math/0601274

arxiv created 2006/01/12 · arxiv updated 2009/12/01

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.

Related

• Moduli space of irregular rank two parabolic bundles over the Riemann sphere and its compactification
• Stable Parabolic Bundles over Elliptic Surfaces and over Orbifold Riemann Surfaces
• Parabolic reductions of principal bundles
• Universal parabolic moduli over M__{g, n}
• Geometry of the moduli of parabolic bundles on elliptic curves