• Chow group of 1-cycles of the moduli of parabolic bundles over a curve

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      https://www.ias.ac.in/article/fulltext/pmsc/131/0022

    • Keywords

       

      Chow groups; moduli space; parabolic bundle.

    • Abstract

       

      We study the Chow group of 1-cycles of the moduli space of semistable parabolic vector bundles of fixed rank, determinant and a generic weight over a nonsingular projective curve over C of genus at least 3. We show that, the Chow group of 1-cycles remains isomorphic as we vary the generic weight. As a consequence, wecan give an explicit description of the Chow group in the case of rank 2 and determinant $\mathscr{O}(x)$, where $x \in X$ is a fixed point, which extends the earlier result of Choe and Hwang (Math. Z. 253 (2006) 253--281, Main theorem).

    • Author Affiliations

       

      SUJOY CHAKRABORTY1

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

       
  • Proceedings – Mathematical Sciences | News

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