Timeline for Rational points of modular curves
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 26, 2011 at 3:28 | vote | accept | Dick Hain | ||
| Apr 26, 2011 at 0:54 | answer | added | Emerton | timeline score: 11 | |
| Apr 25, 2011 at 21:57 | comment | added | stankewicz | A nice reference for Merel's result is the Clay Proceedings: math.univ-bpclermont.fr/~rebolledo/page-fichiers/… It also touches on related work of Mazur, Kamienny, Kenku, Momose, Parent and others. If we allow ourselves to move slightly outside the classical modular curves, we get lots of other interesting results, including the Bilu-Parent result on $X_{split}(p)$. | |
| Apr 25, 2011 at 20:49 | comment | added | Olivier | "What is known?" A lot; "and not known?" Also a lot. | |
| Apr 25, 2011 at 18:54 | comment | added | Kevin Buzzard | Loic Merel's work from the mid-90s generalises some of Mazur's results to arbitrary number fields. See also Edixhoven's Seminaire Bourbaki talk from around the same time. But this question is ridiculously vague. | |
| Apr 25, 2011 at 18:42 | comment | added | Felipe Voloch | Could you make the question more specific? Do you mean $\mathbb{Q}$ or an arbitrary number field or what? Which modular curves $X_0(N),X_1(N),X(N)$ or some other? Good reference is Mazur, B., Modular curves and the Eisenstein ideal. Inst. Hautes Études Sci. Publ. Math. No. 47 (1977), 33--186. | |
| Apr 25, 2011 at 18:27 | history | asked | Dick Hain | CC BY-SA 3.0 |