Article ID Journal Published Year Pages File Type
6415589 Journal of Number Theory 2014 13 Pages PDF
Abstract

We use Hodge theory to prove a new upper bound on the ranks of Mordell-Weil groups for elliptic curves over function fields after regular geometrically Galois extensions of the base field, improving on previous results of Silverman and Ellenberg, when the base field has characteristic zero and the supports of the conductor of the elliptic curve and of the ramification divisor of the extension are disjoint.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
Authors
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