Timeline for Why is an elliptic curve a group?
Current License: CC BY-SA 2.5
15 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 5, 2014 at 16:37 | comment | added | Terry Tao | From a purely geometric point of view, the associativity of the group law is a consequence of the Cayley-Bacharach theorem: en.wikipedia.org/wiki/Cayley%E2%80%93Bacharach_theorem terrytao.wordpress.com/2011/07/15/… | |
| Jun 5, 2014 at 15:59 | answer | added | user250412 | timeline score: 1 | |
| Sep 1, 2010 at 7:20 | comment | added | Harald Hanche-Olsen | Interesting thought. But the Lefschetz principle only applies to fields of characteristic zero, right? | |
| Sep 1, 2010 at 0:45 | comment | added | David Corwin | "plus this approach seems limited to the case where the base field is $\mathbb{C}$" Actually, you should be able to prove the general case from the complex case, using the Lefschetz principle. | |
| Aug 31, 2010 at 20:33 | answer | added | user8925 | timeline score: 4 | |
| Apr 7, 2010 at 12:13 | answer | added | Robin Chapman | timeline score: 23 | |
| Jan 8, 2010 at 22:27 | answer | added | Ilya Nikokoshev | timeline score: 14 | |
| Jan 8, 2010 at 21:08 | answer | added | Anweshi | timeline score: 2 | |
| Nov 26, 2009 at 18:27 | vote | accept | Harald Hanche-Olsen | ||
| Nov 26, 2009 at 7:47 | answer | added | Harrison Brown | timeline score: 5 | |
| Nov 26, 2009 at 7:33 | comment | added | Harrison Brown | To be fair, the main reason "proving a group is a group is easy" is that the vast majority of groups people work with are defined by functions/morphisms/whatever, so you get associativity for free. Get away from that (or, I guess, from generators and relations, where you also get associativity for free) and demonstrating associativity is usually tedious at best. | |
| Nov 26, 2009 at 5:41 | answer | added | Steven Sam | timeline score: 9 | |
| Nov 26, 2009 at 5:29 | answer | added | Hunter Brooks | timeline score: 75 | |
| Nov 26, 2009 at 5:03 | answer | added | Harald Hanche-Olsen | timeline score: 5 | |
| Nov 26, 2009 at 4:54 | history | asked | Harald Hanche-Olsen | CC BY-SA 2.5 |