The main conjecture of Iwasawa theory for totally real fields

2010/08/01 by Kakde, Mahesh
#FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1008.0142

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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