Notes on the module of Euler systems

Ryotaro Sakamoto

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arXiv · 2004.01844

Notes on the module of Euler systems

Ryotaro Sakamoto

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Abstract

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 $\mu$-invariant of a certain Iwasawa module vanishes.

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Ryotaro Sakamoto. 2020-04-04. Notes on the module of Euler systems. https://arxiv.org/abs/2004.01844

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