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arXiv:0711.4706 [math.NT]AbstractReferencesReviewsResources

Ranks of elliptic curves over function fields

Alan G. B. Lauder

Published 2007-11-29Version 1

We present experimental evidence to support the widely held belief that one half of all elliptic curves have infinitely many rational points. The method used to gather this evidence is a refinement of an algorithm due to the author which is based upon rigid and crystalline cohomology.

Comments: 32 pages
Categories: math.NT, math.AG
Subjects: 11Y99
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