• Curves on threefolds with trivial canonical bundle

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    • Keywords


      Algebraic cycles; algebraic threefolds; intermediate jacobian; rational curves

    • Abstract


      C H Clemens has shown that homologically trivial codimension two cycles on a general hypersurface of degree five and dimension three form a subgroup of infinite rank inside the intermediate jacobian. We generalize this to other complete intersection threefolds with trivial canonical bundle.

    • Author Affiliations


      Kapil H Paranjape1 2

      1. School of Mathematics, Tata Institute of Fundamental Research, Homi Bhabha Road, Bombay - 400005, India
      2. Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL - 60637, USA
    • Dates

  • Proceedings – Mathematical Sciences | News

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