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Equivariant local Epsilon Constants and Étale Cohomology
Author(s) -
Breuning Manuel
Publication year - 2004
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/s002461070400554x
Subject(s) - conjecture , mathematics , equivariant map , pure mathematics , invariant (physics) , constant (computer programming) , equivariant cohomology , extension (predicate logic) , cohomology , group cohomology , algebraic number , algebra over a field , mathematical analysis , mathematical physics , computer science , programming language
A conjecture is formulated which relates the equivariant local epsilon constant of a Galois extension of p‐adic fields to a natural algebraic invariant coming from étale cohomology. Some evidence for the conjecture is provided and its relation to a conjecture for the equivariant global epsilon constant of an extension of number fields formulated by Bley and Burns is established.