Timeline for Reference to a particular result of Scholl and Faltings
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 9, 2018 at 16:24 | comment | added | user130124 | @François, thanks, yes that's what I was looking for! | |
| Dec 9, 2018 at 16:22 | comment | added | user130124 | @Laurent, I did take a cursory look at that paper of Scholl's. | |
| Dec 9, 2018 at 8:56 | comment | added | François Brunault | In fact Saito determines the char poly of $\Phi$ without any assumption on $f $. | |
| Dec 9, 2018 at 8:38 | comment | added | François Brunault | Kato in his Astérisque paper refers to Saito (Modular forms and p-adic Hodge theory, Inventiones 1997) for this result. | |
| Dec 9, 2018 at 7:41 | comment | added | Laurent Berger | Did you check Scholl's "Motives for modular forms", Inventiones 1990? | |
| Dec 9, 2018 at 7:12 | comment | added | naf | My guess is that what you get from Scholl and Faltings is simply that the associated Galois representation is crystalline. What you want should follow from this and some comparison/compatibility results saying the the characteristic polynomial of the $\Phi$ operator is the same as the characteristic polynomial of $Frob_p$ acting on the l-adic representation for $l\neq p$ but I don't know a precise reference for this. | |
| Dec 9, 2018 at 6:47 | history | asked | user130124 | CC BY-SA 4.0 |