Timeline for Existence of elliptic curve with only one rational point over global fields
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Jan 10, 2020 at 16:57 | comment | added | Watson | Possibly related: mathoverflow.net/questions/333406 | |
| Dec 5, 2019 at 17:41 | comment | added | Watson | The answer is yes, if $K$ is a number field, see theorem 1.1 here (and if $K=\Bbb Q$, see also here). | |
| Dec 5, 2019 at 3:30 | comment | added | Will Sawin | If one could generalize the results of this paper arxiv.org/abs/1312.7859 to an arbitary global field that should be sufficient as 100% of elliptic curves have no torsion points. I don't know any obstruction to doing this but Arul Shankar, if no one else, should know. | |
| Dec 5, 2019 at 2:49 | history | edited | user39380 |
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| Dec 4, 2019 at 13:43 | history | asked | user39380 | CC BY-SA 4.0 |