Timeline for Does the equality of ranks imply equality of analytic ranks?
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 14, 2016 at 5:41 | vote | accept | Sylvain JULIEN | ||
| Feb 10, 2013 at 1:43 | history | edited | user9072 |
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| Jun 14, 2012 at 6:47 | comment | added | Alex B. | Dear Filippo, done. | |
| Jun 14, 2012 at 6:43 | answer | added | Alex B. | timeline score: 7 | |
| Jun 14, 2012 at 3:41 | comment | added | Filippo Alberto Edoardo | Dear Alex, why don't you post your comment as an answer (as it is definitely such ;-)) ? | |
| Jun 13, 2012 at 21:06 | comment | added | Kevin Buzzard | It is well-known that there exists an elliptic curve of analytic rank 0 and algebraic rank 0. Parity conjectures are now theorems in many cases. But if one could rule out the existence of an elliptic curve with analytic rank 2 and algebraic rank 0 this would be a major breakthrough. So your more general question seems to me to be hopelessly out of reach. | |
| Jun 13, 2012 at 18:20 | comment | added | Alex B. | Nothing like that it know. Basically, the only things we know are the Gross-Zagier-Kolyvagin results for analytic rank $\leq 1$ and parity results. There is an MO thread concerning the latter: mathoverflow.net/questions/71609/the-parity-conjecture | |
| Jun 13, 2012 at 18:15 | history | asked | Sylvain JULIEN | CC BY-SA 3.0 |