Timeline for Integrality of Atkin-Lehner operator for $\Gamma_1(N)$
Current License: CC BY-SA 4.0
9 events
| when toggle format | what | by | license | comment | |
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| Apr 26, 2020 at 8:11 | history | edited | Daniel Johnston | CC BY-SA 4.0 |
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| Mar 9, 2020 at 10:17 | vote | accept | Daniel Johnston | ||
| Mar 9, 2020 at 8:52 | answer | added | David Loeffler | timeline score: 4 | |
| Mar 8, 2020 at 22:12 | comment | added | Daniel Johnston | @DavidLoeffler actually yes that result would be sufficient. Would you be able to provide an outline of why it's true? | |
| Mar 8, 2020 at 9:16 | comment | added | David Loeffler | It is quite straightforward to prove that $w_Q$ is $\mathbf{Z}[1/N, \zeta_Q]$-integral on forms of level $\Gamma_1(N)$; the hard work in Conrad's note is to deal with integrality at primes dividing $N$ but not $Q$. Would this weaker result be sufficient for your purposes? | |
| Feb 29, 2020 at 4:40 | review | First posts | |||
| Feb 29, 2020 at 5:46 | |||||
| Feb 28, 2020 at 8:49 | comment | added | François Brunault | In the preprint The Manin constant and the modular degree math.u-psud.fr/~cesnavicius/Manin-degree.pdf the authors have proved bounds on the denominators of modular forms at the cusps, using adelic techniques (see Section 4). Maybe you could email them and ask whether their results are sufficient to prove what you want. | |
| Feb 28, 2020 at 4:47 | history | edited | Daniel Johnston |
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| Feb 28, 2020 at 4:36 | history | asked | Daniel Johnston | CC BY-SA 4.0 |