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    • Degenerations of the moduli spaces of vector bundles on curves I

      D S Nagaraj C S Seshadri

      Volume 107 Issue 2 May 1997 pp 101-137

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/107/02/0101-0137

    • Keywords

       

      Nodal curve; torsion free sheaf; moduli

    • 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.

    • Author Affiliations

       

      D S Nagaraj1 C S Seshadri1 2

      1. Mathematics Group, Institute of Mathematical Sciences, C.I.T. Campus, Madras - 600113, India
      2. School of Mathematics, SPIC Mathematical Institute, 92, G.N. Chetty Road, Madras - 600017, India

    • Dates

       
      Published
      May 1997
      Manuscript received
      17 May 1996
      Manuscript revised
      9 January 1997
      Final version published online
      1 May 1997

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