Circular Distributions and Euler Systems, II

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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 languageEnglish
Pages (from-to)91-98
Number of pages8
JournalCompositio Mathematica
Volume137
Issue number1
DOIs
Publication statusPublished - 2003 May 1

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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