Timeline for Selmer $p$-Groups
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 17, 2017 at 13:43 | vote | accept | Thomas Park | ||
| Jul 17, 2017 at 11:56 | answer | added | David Loeffler | timeline score: 5 | |
| Jul 17, 2017 at 8:34 | comment | added | Thomas Park | For example, I read this paper-- Flach, Matthias. "A finiteness theorem for the symmetric square of an elliptic curve.." Inventiones mathematicae 109.2 (1992): 307-328. <eudml.org/doc/144023>. about finiteness of Blach-Kato Selmer groups associated an elliptic curve. However, in this paper there is the assumption $p\geq 5$, so I am wondering if the case of $p=2$ is still true or just trivial case or hard case for even prime. | |
| Jul 17, 2017 at 8:34 | comment | added | Thomas Park | Very appreciate it! Exactly, Bloch--Kato Selmer group can be well-defined for any prime via $p$-adic representation and Tate twist. Since some papers related $p$-adic Bloch--Kato Selmer group avoid considering $p=2$, I am curious about whether the case $p=2$ does not worth considering. | |
| Jul 17, 2017 at 6:26 | comment | added | David Loeffler | What, exactly, is your question? Given a compatible family of p-adic Galois representations (e.g. arising from an elliptic curve), the p-adic Bloch--Kato Selmer group is well-defined for all $p$ including $p = 2$. Often $p=2$ is more difficult than other primes, so it is sometimes -- but not always -- omitted. Are you asking for examples of papers proving things about 2-adic BK Selmer groups? | |
| Jul 17, 2017 at 0:42 | history | edited | Thomas Park | CC BY-SA 3.0 |
added 117 characters in body
|
| Jul 17, 2017 at 0:32 | review | First posts | |||
| Jul 17, 2017 at 0:42 | |||||
| Jul 17, 2017 at 0:31 | history | asked | Thomas Park | CC BY-SA 3.0 |