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

V. Balaji·A. Dey·R. Parthasarathi
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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.

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V. Balaji, A. Dey, R. Parthasarathi. 2006-01-12. Parabolic bundles on algebraic surfaces I- the Donaldson--Uhlenbeck compactification. https://arxiv.org/abs/math/0601274

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