Timeline for Reference request. Finiteness of the Selmer group
Current License: CC BY-SA 4.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 28, 2022 at 8:28 | comment | added | Damian Rössler | @David Benjamin Lim. Thank you for this reference. I will have a look. | |
| Oct 28, 2022 at 5:57 | comment | added | David Benjamin Lim | Perhaps not directly relevant but I should also mention this paper of Brian Conrad on finiteness of Sha over global function fields: math.stanford.edu/~conrad/papers/cosetfinite.pdf | |
| Oct 26, 2022 at 20:15 | history | became hot network question | |||
| Oct 26, 2022 at 14:19 | vote | accept | Damian Rössler | ||
| Oct 26, 2022 at 14:04 | answer | added | anon | timeline score: 8 | |
| S Oct 26, 2022 at 13:55 | history | suggested | J. W. Tanner |
Added reference-request tag
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| Oct 26, 2022 at 13:51 | review | Suggested edits | |||
| S Oct 26, 2022 at 13:55 | |||||
| Oct 26, 2022 at 13:21 | comment | added | Damian Rössler | @Alex B. Thank you for this! I will have a look. I thought this was not a recent result, though. | |
| Oct 26, 2022 at 12:55 | comment | added | Alex B. | Sorry about the rushed comment! I am writing from memory. I can check this myself later and may leave a proper answer. | |
| Oct 26, 2022 at 12:49 | comment | added | Alex B. | Have you looked at this paper of Kestutis Cesnavicius: imo.universite-paris-saclay.fr/~kestutis.cesnavicius/…? I think one ought to be able to adapt the usual char 0 proof, which involves the fact that the group of cohomology classes that are unramified outside a finite set of primes is finite, to the positive char case by working with fppf cohomology. The main theorem in the linked paper has some extra assumptions, but I believe that the finiteness should be extractable in full generality. Have a look, in particular, at Section 5. | |
| Oct 26, 2022 at 12:11 | history | asked | Damian Rössler | CC BY-SA 4.0 |