Timeline for Proven results for the refined Birch Swinnerton-Dyer conjecture over rationals when rank at most $1$
Current License: CC BY-SA 4.0
8 events
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Aug 20 at 14:48 | comment | added | user535671 | @Wojowu hi! Thank you for your comment and for the reference you provided too. I'll take a look at it. It appears from your comment and Olivier's answer that I'll need to do things on an equation-by-equation basis. That's not the end of the world. I was just hoping for at least a yes to my question 3, as that would have made things much easier for my work. But thanks again. Your comment is helpful to me. | |
Aug 20 at 14:33 | vote | accept | user535671 | ||
Aug 20 at 3:07 | answer | added | Olivier | timeline score: 4 | |
Aug 19 at 19:43 | comment | added | Wojowu | I believe all results on strong BSD proceed by working $p$-adically, so all partial progress will proceed via (4). I believe this paper describes the state of the art of this result. It can probably be used to give examples for (2-a) and (3-b). FYI, the quotient $c(E)/c_1(E)$ is sometimes called the analytic order of Sha. | |
Aug 19 at 19:06 | history | edited | user535671 | CC BY-SA 4.0 |
edited title
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Aug 19 at 18:03 | history | edited | user535671 | CC BY-SA 4.0 |
added Cassels-Tate pairing for why Sha(E) is a square
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S Aug 19 at 13:21 | review | First questions | |||
Aug 19 at 13:44 | |||||
S Aug 19 at 13:21 | history | asked | user535671 | CC BY-SA 4.0 |