Relations between Tautological Cycles on Jacobians

@inproceedings{Moonen2007RelationsBT,
title={Relations between Tautological Cycles on Jacobians},
author={Ben Moonen},
year={2007}
}

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