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    • Degenerations of the moduli spaces of vector bundles on curves II (generalized Gieseker moduli spaces)

      D S Nagaraj C S Seshadri

      Volume 109 Issue 2 May 1999 pp 165-201

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/109/02/0165-0201

    • Keywords

       

      Torsion free sheaves; Gieseker functor; moduli

    • Abstract

       

      LetX0 be a projective curve whose singularity is one ordinary double point. We construct a birational modelG(n, d) of the moduli spaceU(n, d) of stable torsion free sheaves in the case (n, d)= 1, such that G(n, d) has normal crossing singularities and behaves well under specialization i.e. if a smooth projective curve specializes toX0, then the moduli space of stable vector bundles of rankn and degreed onX specializes toG(n, d). This generalizes an earlier work of Gieseker in the rank two case.

    • Author Affiliations

       

      D S Nagaraj1 C S Seshadri2

      1. Institute of Mathematical Sciences, CIT Campus, Chennai - 600 113, India
      2. Chennai Mathematical Institute, 92 G N Chetty Road, Chennai - 600017, India

    • Dates

       
      Published
      May 1999
      Manuscript received
      13 November 1998

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