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

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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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Algebraic Geometry, Differential Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/107514

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601274
 http://arxiv.org/abs/math/0601274

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arXiv