Relations between Tautological Cycles on Jacobians

  title={Relations between Tautological Cycles on Jacobians},
  author={Ben Moonen},
  • Ben Moonen
  • Published 2007
We study tautological cycle classes on the Jacobian of a curve. We prove a new result about the ring of tautological classes on a general curve that allows, among other things, easy dimension calculations and leads to some general results about the structure of this ring. Next we obtain a vanishing result for some of the generating classes pi; this gives an improvement of an earlier result of Herbaut. Finally we lift a result of Herbaut and van der Geer-Kouvidakis to the Chow ring (as opposed… CONTINUE READING


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