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arxiv: 1008.0142 · v3 · pith:5JZ3SXRVnew · submitted 2010-08-01 · 🧮 math.NT · math.KT

The main conjecture of Iwasawa theory for totally real fields

classification 🧮 math.NT math.KT
keywords iwasawarealtotallyconjecturefieldsmainnumbertheory
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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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