• The Hodge conjecture for certain moduli varieties

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/105/04/0371-0380

    • Keywords

       

      Chow groups; Abel-Jacobi maps; moduli spaces; normal functions; Hecke correspondences

    • Abstract

       

      For smooth projective varietiesX over ℂ, the Hodge Conjecture states that every rational Cohomology class of type (p, p) comes from an algebraic cycle. In this paper, we prove the Hodge conjecture for some moduli spaces of vector bundles on compact Riemann surfaces of genus 2 and 3.

    • Author Affiliations

       

      V Balaji1

      1. School of Mathematics, SPIC Science Foundation, 92 G.N. Chetty Road, T. Nagar, Madras - 600017, India
    • Dates

       
  • Proceedings – Mathematical Sciences | News

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