Automorphy lifting for residually reducible 𝑙-adic Galois representations
Journal of the American Mathematical Society, Tome 28 (2015) no. 3, pp. 785-870
We prove automorphy lifting theorems for residually reducible Galois representations in the setting of unitary groups over CM fields. Our methods are inspired by those of Skinner-Wiles in the setting of $\mbox {GL}_2$.
@article{10_1090_S0894_0347_2014_00812_2,
author = {Thorne, Jack},
title = {Automorphy lifting for residually reducible \ensuremath{\mathit{l}}-adic {Galois} representations},
journal = {Journal of the American Mathematical Society},
pages = {785--870},
year = {2015},
volume = {28},
number = {3},
doi = {10.1090/S0894-0347-2014-00812-2},
url = {http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-2014-00812-2/}
}
TY - JOUR AU - Thorne, Jack TI - Automorphy lifting for residually reducible 𝑙-adic Galois representations JO - Journal of the American Mathematical Society PY - 2015 SP - 785 EP - 870 VL - 28 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-2014-00812-2/ DO - 10.1090/S0894-0347-2014-00812-2 ID - 10_1090_S0894_0347_2014_00812_2 ER -
%0 Journal Article %A Thorne, Jack %T Automorphy lifting for residually reducible 𝑙-adic Galois representations %J Journal of the American Mathematical Society %D 2015 %P 785-870 %V 28 %N 3 %U http://geodesic.mathdoc.fr/articles/10.1090/S0894-0347-2014-00812-2/ %R 10.1090/S0894-0347-2014-00812-2 %F 10_1090_S0894_0347_2014_00812_2
Thorne, Jack. Automorphy lifting for residually reducible 𝑙-adic Galois representations. Journal of the American Mathematical Society, Tome 28 (2015) no. 3, pp. 785-870. doi: 10.1090/S0894-0347-2014-00812-2
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