• Generalized parabolic bundles and applications— II

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/106/04/0403-0420

    • Keywords

       

      Generalized parabolic bundles; nodal curves; torsionfree sheaves

    • Abstract

       

      We prove the existence of the moduli spaceM(n,d) of semistable generalised parabolic bundles (GPBs) of rankn, degreed of certain general type on a smooth curve. We study interesting cases of the moduli spacesM(n, d) and find explicit geometric descriptions for them in low ranks and genera. We define tensor products, symmetric powers etc. and the determinant of a GPB. We also define fixed determinant subvarietiesML(n, d),L being a GPB of rank 1. We apply these results to study of moduli spaces of torsionfree sheaves on a reduced irreducible curveY with nodes and ordinary cusps as singularities. We also study relations among these moduli spaces (rank 2) as polarization varies over [0, 1].

    • Author Affiliations

       

      Usha N Bhosle1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400005, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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