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Moduli space of parabolic vector bundles on a curve

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Abstract

Let X be an irreducible smooth complex projective curve. Faltings gave a cohomological criterion for vector bundles on X to be semistable. Using this criterion he gave a construction of the moduli spaces of vector bundles on X (Faltings in J Alg Geom 2:507–568, 1993). An analogous cohomological criterion for semistable parabolic vector bundles on X is now known. Our aim here is to give a construction of the moduli spaces of parabolic vector bundles using this criterion.

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Authors and Affiliations

  1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India

    Usha N. Bhosle & Indranil Biswas

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  1. Usha N. Bhosle
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  2. Indranil Biswas
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Correspondence to Usha N. Bhosle.

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Bhosle, U.N., Biswas, I. Moduli space of parabolic vector bundles on a curve. Beitr Algebra Geom 53, 437–449 (2012). https://doi.org/10.1007/s13366-011-0053-7

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  • DOI: https://doi.org/10.1007/s13366-011-0053-7

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