Elliptic curves over real quadratic fields are modular

• 成果类型: Article
• 署名作者: Freitas, Nuno; Le Hung, Bao V.; Siksek, Samir
• 署名单位: University of Bayreuth; Harvard University; University of Warwick
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-014-0550-z
• 发表日期: 2015
• 页码: 159-206
• 关键词: serres conjecture; abelian-varieties; torsion points; REPRESENTATIONS; congruences; chabauty

摘要

We prove that all elliptic curves defined over real quadratic fields are modular.