Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture
| dc.creator | Dieulefait, Luis | |
| dc.date | 2003-04-27 | |
| dc.date.accessioned | 2026-07-07T04:57:28Z | |
| dc.date.available | 2026-07-07T04:57:28Z | |
| dc.description | In a previous article, we have proved a result asserting the existence of a compatible family of Galois representations containing a given crystalline irreducible odd two-dimensional representation. We apply this result to establish new cases of the Fontaine-Mazur conjecture, namely, an irreducible Barsotti-Tate $λ$-adic 2-dimensional Galois representation unramified at 3 and such that the traces $a_p$ of the images of Frobenii verify $\Q(\{a_p^2 \}) = \Q $ always comes from an abelian variety. We also show the non-existence of irreducible Barsotti-Tate 2-dimensional Galois representations of conductor 1 and apply this to the irreducibility of Galois representations on level 1 genus 2 Siegel cusp forms. | |
| dc.identifier | https://arxiv.org/abs/math/0304433 | |
| dc.identifier | http://arxiv.org/abs/math/0304433 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67270 | |
| dc.subject | Number Theory | |
| dc.title | Existence of families of Galois representations and new cases of the Fontaine-Mazur conjecture | |
| dc.type | text |