2 00 7 The level 1 weight 2 case of Serre ’ s conjecture
نویسنده
چکیده
We prove Serre’s conjecture for the case of Galois representations of Serre’s weight 2 and level 1. We do this by combining the potential modularity results of Taylor and lowering the level for Hilbert modular forms with a Galois descent argument, properties of universal deformation rings, and the non-existence of p-adic Barsotti-Tate conductor 1 Galois representations proved in [Di3].
منابع مشابه
3 M ay 2 00 7 The level 1 case of Serre ’ s conjecture revisited
We prove existence of conjugate Galois representations, and we use it to derive a simple method of weight reduction. As a consequence, an alternative proof of the level 1 case of Serre’s conjecture follows. 1 A letter with the result Barcelona, April 21, 2007
متن کامل2 2 Fe b 20 05 The level 1 weight 2 case of Serre ’ s conjecture Luis
We prove Serre’s conjecture for the case of Galois representations with Serre’s weight 2 and level 1. We do this by combining the potential modularity results of Taylor and lowering the level for Hilbert modular forms with a Galois descent argument, properties of universal deformation rings, and the non-existence of p-adic Barsotti-Tate conductor 1 Galois representations proved in [Di3].
متن کامل2 7 A ug 2 00 5 On the level p weight 2 case of Serre ’ s conjecture
This brief note only contains a modest contribution: we just fix some inaccuracies in the proof of the prime level weight 2 case of Serre’s conjecture given in [K]. More precisely, the modularity lifting result needed at a crucial step is the one for the case of a deformation corresponding to a p-adic semistable (in the sense of Fontaine) Galois representation attached to a semistable abelian v...
متن کامل4 The level 1 weight 2 case of Serre ’ s conjecture Luis
We prove Serre’s conjecture for the case of Galois representations with Serre’s weight 2 and level 1. We do this by combining the potential modularity results of Taylor and lowering the level for Hilbert modular forms with a Galois descent argument, properties of universal deformation rings, and the non-existence of p-adic Barsotti-Tate conductor 1 Galois representations proved in [Di3].
متن کاملThe level 1 weight 2 case of Serre ’ s conjecture Luis
We prove Serre’s conjecture for the case of Galois representations of Serre’s weight 2 and level 1. We do this by combining the potential modularity results of Taylor and lowering the level for Hilbert modular forms with a Galois descent argument, properties of universal deformation rings, and the non-existence of p-adic Barsotti-Tate conductor 1 Galois representations proved in [Di3].
متن کامل