Ranks of elliptic curves over function fields

Details Ranks of elliptic curves over function fields Ranks of elliptic curves over function fields

2007-11-29

arxiv.org/abs/0711.4706v1

Mathematics

Number Theory

32 pages

Scientific paper

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.

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