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April 2022 Stark systems and equivariant main conjectures
Takenori Kataoka
Author Affiliations +
Osaka J. Math. 59(2): 417-452 (April 2022).


The theory of Stark systems due to Burns, Sakamoto, and Sano is an important tool toward main conjectures in Iwasawa theory. In this paper, we propose a new perspective of their results, which produces more refined consequences. As a principal application, we prove one divisibility of the equivariant main conjecture for elliptic curves, under certain conditions without $\mu = 0$ hypothesis.


I am grateful to Masato Kurihara for his continuous support during the research. I also thank Takamichi Sano for various comments on earlier versions of this paper (e.g. the term “basic" was suggested by him). Thanks are also due to the anonymous referees for providing a number of suggestions. This research was supported by JSPS KAKENHI Grant Number 19J00763.


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Takenori Kataoka. "Stark systems and equivariant main conjectures." Osaka J. Math. 59 (2) 417 - 452, April 2022.


Received: 22 October 2020; Revised: 18 February 2021; Published: April 2022
First available in Project Euclid: 7 April 2022

MathSciNet: MR4405987
zbMATH: 1519.11061

Primary: 11R23

Rights: Copyright © 2022 Osaka University and Osaka City University, Departments of Mathematics

Vol.59 • No. 2 • April 2022
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