Note on curves in a Jacobian

Details Note on curves in a Jacobian Note on curves in a Jacobian

1992-02-17

arxiv.org/abs/alg-geom/9202015v2

Mathematics

Algebraic Geometry

18 pages, Latex 2.09

Scientific paper

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.

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