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...
Hauptverfasser: | Allen, PB, Calegari, F, Caraiani, A, Gee, T, Helm, D, Le Hung, BV, Newton, J, Scholze, P, Taylor, R, Thorne, JA |
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Format: | Journal article |
Sprache: | English |
Veröffentlicht: |
Princeton University Press
2023
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