A family of Calabi-Yau varieties and potential automorphy

2010201 citationsJournal Articlebronze Open Access

Authors

Michael Harris · Institut de Mathématiques de Jussieu-Paris Rive Gauche

Nick Shepherd-Barron · University of Cambridge

Richard Taylor · Biomedical Research Models (United States)

Abstract

We prove potential modularity theorems for l-adic representations of any dimension. From these results we deduce the Sato-Tate conjecture for all elliptic curves with nonintegral j -invariant defined over a totally real field.

Topics & Keywords

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Analytic Number Theory Research

Publication Details

Published in: Annals of Mathematics

Volume 171, Issue 2, pp. 779-813

DOI: 10.4007/annals.2010.171.779

Field-Weighted Citation Impact: 11.40

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A family of Calabi-Yau varieties and potential automorphy

Authors

Abstract

Topics & Keywords

Publication Details