Timeline for Reference request: the dual Coleman family
Current License: CC BY-SA 4.0
5 events
| when toggle format | what | by | license | comment | |
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| Aug 27, 2018 at 13:04 | comment | added | David Loeffler | Then think about it some more until it no longer surprises you. (It is essential here that $F$, and hence all its classical specialisations, are new at the primes dividing N.) | |
| Aug 27, 2018 at 9:00 | comment | added | GRH | Thanks for the details. If the Coleman family F has tame level N, tame nebentype $\chi$, is specialization commutes with twist by $\chi^{-1}$? If so, then let f be a classical specialization, then the twist f by $\chi^{-1}$ is forced to have tame level N, which seems a bit surprising. | |
| Aug 26, 2018 at 19:19 | history | edited | David Loeffler | CC BY-SA 4.0 |
added 560 characters in body
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| Aug 26, 2018 at 15:36 | comment | added | GRH | Thanks very much for the classification. Would you please provide more details on the construction of $f^c$(and $F^c$)? Thanks. One way I can imagine is first twist by the inverse of the Neben-type, and then consider the associated newform (new except for p), but I dont know whether this method works in family. | |
| Aug 26, 2018 at 15:07 | history | answered | David Loeffler | CC BY-SA 4.0 |