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arXiv:math/0609716 [math.NT]AbstractReferencesReviewsResources

Jacobi sums, Fermat Jacobians, and ranks of abelian varieties over towers of function fields

Douglas Ulmer

Published 2006-09-26Version 1

Our goal in this note is to give a number of examples of abelian varieties over function fields k(t) which have bounded ranks in towers of extensions such as k(t^{1/d}) for varying d. Along the way we prove some new results on Fermat curves which may be of independent interest.

Categories: math.NT, math.AG
Subjects: 14G05, 11G40
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