论文标题
拟合iWasawa理论中的不变式
Fitting invariants in equivariant Iwasawa theory
论文作者
论文摘要
伊瓦沙（Iwasawa）理论中的主要猜想预测了伊瓦沙（Iwasawa）模块与$ p $ adic $ l $ functions之间的关系。 Greither和Kurihara使用一定的证明表述，明确描述了iWasawa模块的（初始）拟合理想，用于环形元素$ \ MATHBB {Z} _p $ extsentions的完全真实领域的有限亚伯利亚扩展。在本文中，我们通过发展``拟合不变性''的理论来概括其工作背后的代数理论。作为对伊瓦沙（Iwasawa）理论的应用，我们获得了一个非共同版本和格雷瑟（Grether）和库里哈拉（Kurihara）作品的两个可变版本。
The main conjectures in Iwasawa theory predict the relationship between the Iwasawa modules and the $p$-adic $L$-functions. Using a certain proved formulation of the main conjecture, Greither and Kurihara described explicitly the (initial) Fitting ideals of the Iwasawa modules for the cyclotomic $\mathbb{Z}_p$-extensions of finite abelian extensions of totally real fields. In this paper, we generalize the algebraic theory behind their work by developing the theory of ``shifts of Fitting invariants.'' As applications to Iwasawa theory, we obtain a noncommutative version and a two-variable version of the work of Greither and Kurihara.
