Serre's conjecture over F_9
| dc.creator | Ellenberg, Jordan S. | |
| dc.date | 2001-07-20 | |
| dc.date.accessioned | 2026-07-07T04:42:39Z | |
| dc.date.available | 2026-07-07T04:42:39Z | |
| dc.description | In this paper, we show that an odd Galois representation rhobar: Gal(Qbar/Q) --> GL_2(F_9) satisfying certain local conditions at 3 and 5 is modular. Our main tool is an idea of Taylor, which reduces the problem to that of exhibiting points on a Hilbert modular surface which are defined over a solvable extension of Q, and which satisfy certain reduction properties. As a corollary, we show that Hilbert-Blumenthal abelian surfaces over Q with good ordinary reduction at 3 and 5 are modular. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/math/0107147 | |
| dc.identifier | http://arxiv.org/abs/math/0107147 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61876 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11F80 (Primary) 11G18 14K15 (Secondary) | |
| dc.title | Serre's conjecture over F_9 | |
| dc.type | text |