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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/118/01/0081-0098

    • Keywords

       

      Torsionfree sheaves; nodal curve; stability.

    • Abstract

       

      We classify all isomorphism classes of stable torsionfree sheaves on an irreducible nodal curve of arithmetic genus one defined over $\mathbb{C}$. Let 𝑋 be a nodal curve of arithmetic genus one defined over $\mathbb{R}$, with exactly one node, such that 𝑋 does not have any real points apart from the node. We classify all isomorphism classes of stable real algebraic torsionfree sheaves over 𝑋 of even rank. We also classify all isomorphism classes of real algebraic torsionfree sheaves over 𝑋 of rank one.

    • Author Affiliations

       

      Usha N Bhosle1 Indranil Biswas1

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai 400 005, India

    • Dates

       
      Published
      February 2008
      Manuscript received
      20 July 2006
      Manuscript revised
      6 September 2006

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