Potential automorphy over CM fields

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...

Полное описание

Библиографические подробности
Главные авторы:	Allen, PB, Calegari, F, Caraiani, A, Gee, T, Helm, D, Le Hung, BV, Newton, J, Scholze, P, Taylor, R, Thorne, JA
Формат:	Journal article
Язык:	English
Опубликовано:	Princeton University Press 2023

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