Universal algebraic equivalences between tautological cycles on Jacobians of curves
Algebraic Geometry
2007-05-23 v2
Abstract
We present a collection of algebraic equivalences between tautological cycles on the Jacobian of a curve, i.e., cycles in the subring of the Chow ring of generated by the classes of certain standard subvarieties of . These equivalences are universal in the sense that they hold for all curves of given genus. We show also that they are compatible with the action of the Fourier transform on tautological cycles and compute this action explicitly.
Keywords
Cite
@article{arxiv.math/0309160,
title = {Universal algebraic equivalences between tautological cycles on Jacobians of curves},
author = {Alexander Polishchuk},
journal= {arXiv preprint arXiv:math/0309160},
year = {2007}
}
Comments
AMSLatex, 20 pages. The updated version contains the proof of the fact that the relations we found form an ideal