论文标题
$ \ mathrm {gl} _2 \ times \ mathrm {res} _ {k/\ mathbb {q}}} \ mathrm {gl} _1 $
Iwasawa theory for $\mathrm{GL}_2\times\mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1$
论文作者
论文摘要
让$ k $是一个假想的二次领域，prime $ p $分裂。本文中我们的目标是证明与$ p $ p $ - nearly-dimarliary家庭相关的与$ \ mathrm {gl} _2 _2 \ times \ times \ mathrm {res} _ {k/\ mathbb {q}}}} \ mathrm {gl} _1 $ aput a Puthition authimail authim authim aptpt。主要的技术输入是对本地限制的Euler系统机械的改进，该机制允许处理残留的案例，我们将其应用于贝林森 - 弗拉赫欧拉系统。
Let $K$ be a imaginary quadratic field where the prime $p$ splits. Our goal in this article is to prove results towards the Iwasawa main conjectures for $p$-nearly-ordinary families associated to $\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1$ with a minimal set of assumptions. The main technical input is an improvement on the locally restricted Euler system machinery that allows the treatment of residually reducible cases, which we apply with the Beilinson--Flach Euler system.
