论文标题
在完全真实的领域上的乘法组的较高等级欧拉系统
A higher rank Euler system for the multiplicative group over a totally real field
论文作者
论文摘要
在本文中，我们通过使用Wiles证明的iWasawa Main猜想，为完全真实的领域构建了一个更高的等级Euler系统。结构的关键要素是概括特征理想的概念。在某些技术假设下，我们证明，分析性不变式与Stickelberger元素相关联，分析性不变式描述了某个$ p $ pumififient的iWasawa模块的所有较高拟合理想。
In this paper, we construct a higher rank Euler system for the multiplicative group over a totally real field by using the Iwasawa main conjecture proved by Wiles. A key ingredient of the construction is to generalize the notion of the characteristic ideal. Under certain technical assumptions, we prove that all higher Fitting ideals of a certain $p$-ramified Iwasawa module are described by analytic invariants canonically associated with Stickelberger elements.
