The Iwasawa Main Conjectures for GL2

• 成果类型: Article
• 署名作者: Skinner, Christopher; Urban, Eric
• 署名单位: Princeton University; Sorbonne Universite; Universite Paris Cite; Columbia University
• 刊物名称: INVENTIONES MATHEMATICAE
• ISSN/ISSBN: 0020-9910
• DOI: 10.1007/s00222-013-0448-1
• 发表日期: 2014
• 页码: 1-277
• 关键词: adic l-functions; zeta-functions; eisenstein series; special values; elliptic-curves; REPRESENTATIONS; deformations; EXTENSIONS; VARIETIES; periods

摘要

We prove the one-, two-, and three-variable Iwasawa-Greenberg Main Conjectures for a large class of modular forms that are ordinary with respect to an odd prime p. The method of proof involves an analysis of an Eisenstein ideal for ordinary Hida families for GU(2,2).