Geodesic
Modularity of certain potentially Barsotti-Tate Galois representations
Conrad, Brian1 ; Diamond, Fred2 ; Taylor, Richard
1 Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
2 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854
Journal of the American Mathematical Society, Tome 12 (1999) no. 2, pp. 521-567

Voir la notice de l'article provenant de la source American Mathematical Society

We show that certain potentially semistable lifts of modular mod $l$ representations are themselves modular. As a result we show that any elliptic curve over the rational numbers with conductor not divisible by 27 is modular.
DOI : 10.1090/S0894-0347-99-00287-8

Conrad, Brian 1 ; Diamond, Fred 2 ; Taylor, Richard 

1 Department of Mathematics, Harvard University, Cambridge, Massachusetts 02138
2 Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854 
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Conrad, Brian; Diamond, Fred; Taylor, Richard. Modularity of certain potentially Barsotti-Tate Galois representations. Journal of the American Mathematical Society, Tome 12 (1999) no. 2, pp. 521-567. doi: 10.1090/S0894-0347-99-00287-8

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