TY - JOUR
T1 - Circular Distributions and Euler Systems, II
AU - Seo, Soogil
N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2003/5
Y1 - 2003/5
N2 - 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.
AB - 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.
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U2 - 10.1023/A:1023644822410
DO - 10.1023/A:1023644822410
M3 - Article
AN - SCOPUS:0038402776
VL - 137
SP - 91
EP - 98
JO - Compositio Mathematica
JF - Compositio Mathematica
SN - 0010-437X
IS - 1
ER -