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On the rank of abelian varieties over function fields
by
Amilcar Pacheco
Universidade Federal do Rio de Janeiro, Brasil
Let C be a smooth projective curve defined over a number field k, A/k(C) an abelian variety and (, B) the k(C)/k-trace of A. We estimate how the rank of A(k(C))/ B(k) varies when we take a finite Galois k-cover :C' C defined over k.
Date received: April 23, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # calz-57.