Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415589 | Journal of Number Theory | 2014 | 13 Pages |
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
Ambrus Pál,