Cycle relations on Jacobian varieties
Algebraic Geometry
2007-05-23 v2
Abstract
By using the Grothendieck-Riemann-Roch theorem we derive cycle relations modulo algebraic equivalence in the Jacobian of a curve. The relations generalize the relations found by Colombo and van Geemen and are analogous to but simpler than the relations recently found by Herbaut. In an appendix due to Zagier it is shown that these sets of relations are equivalent.
Cite
@article{arxiv.math/0608606,
title = {Cycle relations on Jacobian varieties},
author = {Gerard van der Geer and Alexis Kouvidakis},
journal= {arXiv preprint arXiv:math/0608606},
year = {2007}
}
Comments
6 pages, latex. Appendix added with a proof by Zagier of the equivalence of Herbaut's relations and ours