On the Eisenstein ideal of Drinfeld modular curves
| dc.creator | Pal, Ambrus | |
| dc.date | 2007-10-18 | |
| dc.date | 2007-10-25 | |
| dc.date.accessioned | 2026-07-07T08:38:18Z | |
| dc.date.available | 2026-07-07T08:38:18Z | |
| dc.description | Let $\goth E(\goth p)$ denote the Eisenstein ideal in the Hecke algebra $\Bbb T(\goth p)$ of the Drinfeld modular curve $X_0(\goth p)$ parameterizing Drinfeld modules of rank two over $\Bbb F_q[T]$ of general characteristic with Hecke level $\goth p$-structure, where $\goth p\triangleleft\Bbb F_q[T]$ is a non-zero prime ideal. We prove that the characteristic $p$ of the field $\Bbb F_q$ does not divide the order of the quotient $\Bbb T(\goth p)/\goth E(\goth p)$ and the Eisenstein ideal $\goth E(\goth p)$ is locally principal. | |
| dc.description | 37 pages. Final version; to appear in IJNT | |
| dc.identifier | https://arxiv.org/abs/0710.3569 | |
| dc.identifier | http://arxiv.org/abs/0710.3569 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/140678 | |
| dc.subject | Number Theory | |
| dc.subject | 11G18, 11G09 | |
| dc.title | On the Eisenstein ideal of Drinfeld modular curves | |
| dc.type | text |