Potential automorphy over CM fields
Let F be a CM number field. We prove modularity lifting theorems for
regular n-dimensional Galois representations over F without any self-duality
condition. We deduce that all elliptic curves E over F are potentially modular, and furthermore satisfy the Sato–Tate conjecture. As an application
of a d...
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Bibliographic Details
Main Authors: |
Allen, PB,
Calegari, F,
Caraiani, A,
Gee, T,
Helm, D,
Le Hung, BV,
Newton, J,
Scholze, P,
Taylor, R,
Thorne, JA |
Format: | Journal article
|
Language: | English |
Published: |
Princeton University Press
2023
|