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Degenerations of the moduli spaces of vector bundles on curves I

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Abstract

LetY be a smooth projective curve degenerating to a reducible curveX with two components meeting transversally at one point. We show that the moduli space of vector bundles of rank two and odd determinant on Ydegenerates to a moduli space onX which has nice properties, in particular, it has normal crossings. We also show that a nice degeneration exists when we fix the determinant. We give some conjectures concerning the degeneration of moduli space of vector bundles onY with fixed determinant and arbitrary rank.

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Authors and Affiliations

  1. Mathematics Group, Institute of Mathematical Sciences, C.I.T. Campus, 600113, Madras, India

    D. S. Nagaraj & C. S. Seshadri

  2. School of Mathematics, SPIC Mathematical Institute, 92, G.N. Chetty Road, 600017, Madras, India

    C. S. Seshadri

Authors
  1. D. S. Nagaraj
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  2. C. S. Seshadri
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Nagaraj, D.S., Seshadri, C.S. Degenerations of the moduli spaces of vector bundles on curves I. Proc. Indian Acad. Sci. (Math. Sci.) 107, 101–137 (1997). https://doi.org/10.1007/BF02837721

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  • DOI: https://doi.org/10.1007/BF02837721

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