ON NON-ABELIAN STARK-TYPE CONJECTURES

Nickel, Andreas (2011) ON NON-ABELIAN STARK-TYPE CONJECTURES. ANNALES DE L INSTITUT FOURIER, 61 (6). pp. 2577-2608. ISSN 0373-0956,

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Abstract

We introduce non-abelian generalizations of Brumer's conjecture, the Brumer-Stark conjecture and the strong Brumer-Stark property attached to a Galois CM-extension of number fields. Moreover, we discuss how they are related to the equivariant Tamagawa number conjecture, the strong Stark conjecture and a non-abelian generalization of Rubin's conjecture clue to D. Burns.

Item Type: Article
Uncontrolled Keywords: NUMBER CONJECTURE; FITTING IDEALS; FIELDS; INTEGERS; VALUES; UNITS; Stark conjectures; L-values; class groups
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 29 Jun 2020 06:02
Last Modified: 29 Jun 2020 06:02
URI: https://pred.uni-regensburg.de/id/eprint/21409

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