On the Ramification of Hecke Algebras at Eisenstein Primes
| dc.creator | Calegari, Frank | |
| dc.creator | Emerton, Matthew | |
| dc.date | 2003-11-21 | |
| dc.date.accessioned | 2026-07-07T05:03:07Z | |
| dc.date.available | 2026-07-07T05:03:07Z | |
| dc.description | Using the modularity technique of Wiles, we study the Hecke algebra of weight 2 and prime level N localized at the Eisenstein primes. On the way, we recover some results of Mazur ("Modular Curves and the Eisenstein Ideal") from a deformation theoretic point of view. Combining some of our results with a theorem of Merel, we obtain new information about the p-part of the class groups of Q(N^(1/p)), where p and N are prime, and N = 1 mod p. | |
| dc.description | 39 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311368 | |
| dc.identifier | http://arxiv.org/abs/math/0311368 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69284 | |
| dc.subject | Number Theory | |
| dc.subject | 11F80, 11R29 | |
| dc.title | On the Ramification of Hecke Algebras at Eisenstein Primes | |
| dc.type | text |