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The main conjecture of Iwasawa theory for totally real fields

Published 1 Aug 2010 in math.NT and math.KT | (1008.0142v3)

Abstract: The purpose of this paper is to prove the main conjecture of non-commutative Iwasawa theory for p-adic Lie extensions, for an odd prime p, of totally real number fields assuming that the Iwasawa mu invariant of a certain totally real number field vanishes.

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