Euler systems for Rankin-Selberg convolutions of modular forms

• 成果类型: Article
• 署名作者: Lei, Antonio; Loeffler, David; Zerbes, Sarah Livia
• 刊物名称: ANNALS OF MATHEMATICS
• ISSN/ISSBN: 0003-486X
• DOI: 10.4007/annals.2014.180.2.6
• 发表日期: 2014
• 页码: 653-771
• 关键词: special values; towers

摘要

We construct a Euler system in the cohomology of the tensor product of the Galois representations attached to two modular forms, using elements in the higher Chow groups of products of modular curves. We use these elements to prove a finiteness theorem for the strict Selmer group of the Galois representation when the associated p-adic Rankin-Selberg L-function is nonvanishing at s=1.