Proving modularity for a given elliptic curve over an imaginary quadratic field
| dc.creator | Dieulefait, Luis | |
| dc.creator | Guerberoff, Lucio | |
| dc.creator | Pacetti, Ariel | |
| dc.date | 2008-04-15 | |
| dc.date | 2008-11-05 | |
| dc.date.accessioned | 2026-07-07T10:15:15Z | |
| dc.date.available | 2026-07-07T10:15:15Z | |
| dc.description | We present an algorithm to determine if the $L$-series associated to an automorphic representation and the one associated to an elliptic curve over an imaginary quadratic field agree. By the work of Harris-Soudry-Taylor, Taylor and Berger-Harcos (cf. \cite{harris-taylor}, \cite{taylorII} and \cite{berger-harcos}) we can associate to an automorphic representation a family of compatible $p$-adic representations. Our algorithm is based on Faltings-Serre's method to prove that $p$-adic Galois representations are isomorphic. | |
| dc.description | 21 pages | |
| dc.identifier | https://arxiv.org/abs/0804.2302 | |
| dc.identifier | http://arxiv.org/abs/0804.2302 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/173117 | |
| dc.subject | Number Theory | |
| dc.subject | 11F80; 11G05 | |
| dc.title | Proving modularity for a given elliptic curve over an imaginary quadratic field | |
| dc.type | text |