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Equivariant Iwasawa theory and non-abelian Starck-type conjectures
Nickel, Andreas (2011) Equivariant Iwasawa theory and non-abelian Starck-type conjectures. Preprintreihe der Fakultät Mathematik 31/2011, Working Paper.Date of publication of this fulltext: 19 Dec 2011 10:04
Monograph
DOI to cite this document: 10.5283/epub.22965
Abstract
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 ...
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.
Involved Institutions
Details
| Item type | Monograph (Working Paper) | ||||||
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik | ||||||
|---|---|---|---|---|---|---|---|
| Volume: | 31/2011 | ||||||
| Date | 2011 | ||||||
| Institutions | Mathematics > Prof. Dr. Guido Kings | ||||||
| Classification |
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| Keywords | Iwasawa theory, main conjecture, equivariant L-values, Stark conjectures | ||||||
| Dewey Decimal Classification | 500 Science > 510 Mathematics | ||||||
| Status | Unknown | ||||||
| Refereed | No, this version has not been refereed yet (as with preprints) | ||||||
| Created at the University of Regensburg | Yes | ||||||
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-229650 | ||||||
| Item ID | 22965 |
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