Companion forms and the structure of p-adic Hecke algebras
| dc.creator | Ohta, Masami | |
| dc.date | 2004-03-25 | |
| dc.date | 2004-07-24 | |
| dc.date.accessioned | 2026-07-07T05:06:44Z | |
| dc.date.available | 2026-07-07T05:06:44Z | |
| dc.description | We study the structure of the Eisenstein component of Hida's ordinary p-adic Hecke algebra attached to modular forms, in connection with the companion forms in the space of modular forms (mod p). We show that such an algebra is a Gorenstein ring if certain space of modular forms (mod p) having companions is one-dimensional; and also give a numerical criterion for this one-dimensionality. This in part overlaps with a work of Skinner and Wiles; but our method, based on a work of Ulmer, is totally different. We then consider consequences of the above mentioned Gorenstein property. We especially discuss the connection with the Iwasawa theory. | |
| dc.description | 29pages | |
| dc.identifier | https://arxiv.org/abs/math/0403428 | |
| dc.identifier | http://arxiv.org/abs/math/0403428 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70586 | |
| dc.subject | Number Theory | |
| dc.subject | 11F33, 11F80 | |
| dc.title | Companion forms and the structure of p-adic Hecke algebras | |
| dc.type | text |