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Circular Distributions and Euler Systems, II

Published online by Cambridge University Press:  04 December 2007

Soogil Seo
Soogil Seo
Affiliation:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, U.S.A. e-mail: [email protected]
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Abstract

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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.

Keywords

circular distributioncircular unitsColeman conjectureIwasawa theoryEuler systems
Type
Research Article
Information
Compositio Mathematica , Volume 137 , Issue 1 , May 2003 , pp. 91 - 98
Copyright
© 2003 Kluwer Academic Publishers