论文标题
关于欧拉系统模块的注释
Notes on the module of Euler systems
论文作者
论文摘要
在本文中，我们研究了Euler系统的模块。我们确定与等级$ 0 $相关的Iwasawa代数的理想。我们还表明，在格林伯格（Greenberg）猜想的假设下，完全真实的领域的$ \ mathbb {g} _ {m} $的高级欧拉系统模块在Greenberg Condoxture保持真实的假设下，并且是某种iWasawa模块的$ 1 $ invariant。
In this paper, we study the module of Euler systems. We determine the ideal of an Iwasawa algebra associated with Euler systems of rank $0$. We also show that the module of higher rank Euler systems for $\mathbb{G}_{m}$ over a totally real field is free of rank $1$ under the assumptions that Greenberg conjecture holds true and that the $μ$-invariant of a certain Iwasawa module vanishes.
