Equivariant Iwasawa theory and non-abelian Starck-type conjectures
نویسنده
چکیده
We discuss three di erent formulations of the equivariant Iwasawa main conjecture attached to an extension K/k of totally real elds with Galois group G, where k is a number eld and G is a p-adic Lie group of dimension 1 for an odd prime p. All these formulations are equivalent and hold if Iwasawa's μ-invariant vanishes. Under mild hypotheses, we use this to prove non-abelian generalizations of Brumer's conjecture, the Brumer-Stark conjecture and a strong version of the Coates-Sinnott conjecture provided that μ = 0.
منابع مشابه
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