Timeline for congruent number problem
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 20, 2016 at 13:47 | comment | added | J.S.R. | I think the Tate module $V_{p}(E)$ splits at any prime $p$ and it is an easy exercise that the Hodge-Tate weights are (0,0) and (1,1) at primes $p$ which inert in $K$. | |
| Jul 18, 2016 at 18:55 | comment | added | nfdc23 | The main content of my answer has nothing at all to do with $\chi$ (which I brought up just to provide my guess as to the context for the motivation of the main idea of the paper). The author defines the $\sigma^{(i)}$'s exactly as I do in my answer, and this does not logically relate to the $\chi$'s for the purpose of the error that I have pointed out. I am unable to understand what you say, but the author's crucial claim that each $\sigma^{(i)}$ has the same HT-weight (0 or 1) are both $p$-adic places of $K$ is wrong, for the reason I have explained. I have nothing more to say on this. | |
| Jul 18, 2016 at 17:57 | history | edited | J.S.R. | CC BY-SA 3.0 |
added 11 characters in body
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| Jul 18, 2016 at 17:40 | vote | accept | s.jonathan | ||
| Jul 18, 2016 at 15:03 | history | edited | J.S.R. | CC BY-SA 3.0 |
added 1 character in body
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| Jul 18, 2016 at 13:59 | history | answered | J.S.R. | CC BY-SA 3.0 |