Timeline for Is there an elliptic curve analogue to the 4-term exact sequence defining the unit and class group of a number field?
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| May 14 at 8:15 | comment | added | Chris Wuthrich | They are dual by Tate duality. You can replace the local term there by $\bigoplus_{v \in S} H^1(K_v,E)[n]$ if you wish. | |
| May 13 at 23:51 | comment | added | Duality | Thank you very much for your insightful answer. In the 4th exact sequence in your answer, isn't the part $E(K_v)/nE(K_v)$ given by the Cassels-Poitou-Tate exact sequence actually $H^1(K_v,E)[n]$? I’m referring to exact sequence (2) of page 8 in ‘Galois cohomology of elliptic curves’ by Coates and Sujatha. | |
| Jan 12 at 0:11 | comment | added | Chris Wuthrich | I haven't checked. You will have to read the proof yourself, sorry. | |
| Jan 11 at 18:49 | comment | added | Duality | In the proof or statement of Milne's Global duality theorem, what problem occurs in the case III(E/K) is not finite ? | |
| Dec 27, 2023 at 22:43 | history | edited | Chris Wuthrich | CC BY-SA 4.0 |
added 471 characters in body
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| Dec 25, 2023 at 3:15 | vote | accept | Snacc | ||
| Dec 24, 2023 at 14:38 | history | answered | Chris Wuthrich | CC BY-SA 4.0 |