A family of Calabi-Yau varieties and potential automorphy

• 成果类型: Article
• 署名作者: Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2010.171.779
• 发表日期: 2010
• 页码: 779-813
• 关键词: l-adic lifts; galois; REPRESENTATIONS; periods

摘要

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.