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Results tagged with function-fields
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user 5101
9
votes
Accepted
Does every non-isotrivial 1-parameter family of elliptic curves have a positive rank special...
I suspect that this is unknown in general. I would guess that any method which produces at least one elliptic curve of positive rank should also produce infinitely many of positive rank, which as you …
- 21.4k
3
votes
Computing the class group of a quadratic function field
The answer to the precise question is yes. See Theorem 1.2 of:
"Homological stability for Hurwitz spaces and the Cohen-Lenstra conjecture over function fields," https://arxiv.org/pdf/0912.0325.pdf.
…
- 21.4k