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STARK SYSTEMS AND EQUIVARIANT MAIN CONJECTURES

Kataoka, Takenori 大阪大学 DOI:10.18910/87486

2022.04

概要

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 μ = 0 hypothesis.

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