Timeline for reference request for the finiteness of cuspidal subgroup of $X_0(N)$?
Current License: CC BY-SA 3.0
9 events
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| May 2, 2013 at 10:30 | comment | added | Damian Rössler | See also R. Elkik, "Le théorème de Manin-Drinfeld." Astérisque, pages 59-67, 1990. Séminaire sur les Pinceaux de Courbes Elliptiques (Paris, 1988). The proof given there follows an idea of Deligne and uses mixed Hodge structures. | |
| Apr 24, 2013 at 20:00 | vote | accept | Will Chen | ||
| Apr 24, 2013 at 11:38 | comment | added | Will Chen | @David Loeffler - Also, I don't understand how he deduces that $\omega|_g = \omega$ in his proof of assertion 2. Any chance you could help me with that? | |
| Apr 24, 2013 at 11:16 | comment | added | Will Chen | @David Loeffler - I've managed to find that paper, though I'm having trouble understanding his "proof of assertion 1". Given any $g\in M$ and $\gamma\in\text{PSL}_2(\mathbb{Z})$, how does he conclude that $g\gamma(i\infty) = \gamma h(i\infty)$ for some $h\in\Gamma(N)$? | |
| Apr 24, 2013 at 7:54 | comment | added | David Loeffler | The statement is one about all cusps (not necessarily $\mathbb{Q}$-rational ones). The original paper by Drinfeld, "Two theorems on modular curves", is very readable. | |
| Apr 23, 2013 at 11:09 | answer | added | SGP | timeline score: 2 | |
| Apr 23, 2013 at 10:01 | comment | added | Arijit | I have put the number theory tag as this question is of interest to number theorists as well. | |
| Apr 23, 2013 at 9:56 | history | edited | Arijit |
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| Apr 23, 2013 at 9:03 | history | asked | Will Chen | CC BY-SA 3.0 |