Circular Distributions and Euler Systems, II

Soogil Seo

doi:10.1023/A:1023644822410

Circular Distributions and Euler Systems, II

Soogil Seo

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

Abstract

The purpose of this paper is to investigate a conjecture about the universality of the circular distribution made by Robert Coleman. The algebraic property of the universal distribution is the main ingredient in studying Euler system of Kolyvagin and Rubin. We study the universality of the circular distribution by using the Iwasawa theory and the theory of the Euler systems. The conjecture is a characterization of Euler systems in the case of number field. The results here assert that Euler systems are essentially made out of cyclotomic units.

Original language	English
Pages (from-to)	91-98
Number of pages	8
Journal	Compositio Mathematica
Volume	137
Issue number	1
DOIs	https://doi.org/10.1023/A:1023644822410
Publication status	Published - 2003 May

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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