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

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    • 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

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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