On the Non-abelian Brumer–stark Conjecture
نویسنده
چکیده
We show that for an odd prime p, the p-primary parts of refinements of the (imprimitive) non-abelian Brumer and Brumer–Stark conjectures are implied by the equivariant Iwasawa main conjecture (EIMC) for totally real fields. Crucially, this result does not depend on the vanishing of the relevant Iwasawa μ-invariant. In combination with the authors’ previous work on the EIMC, this leads to unconditional proofs of the non-abelian Brumer and Brumer–Stark conjectures in many new cases.
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