Note on curves in a Jacobian
alg-geom
2008-02-03 v2 Algebraic Geometry
Abstract
For a curve C, viewed as a cycle in its Jacobian, we study its image n_*C under multiplication by n on JC. We prove that the subgroup generated by these cycles, in the Chow group modulo algebraic equivalence, has rank at most d-1, where d is the gonality of C. We also discuss some general facts on the action of n_* on the Chow groups.
Cite
@article{arxiv.alg-geom/9202015,
title = {Note on curves in a Jacobian},
author = {Elisabetta Colombo and Bert van Geemen},
journal= {arXiv preprint arXiv:alg-geom/9202015},
year = {2008}
}
Comments
18 pages, Latex 2.09