Journal of the London Mathematical Society



Notes and Papers

EQUIVARIANT LOCAL EPSILON CONSTANTS AND ÉTALE COHOMOLOGY


MANUEL BREUNING a1 1
a1 Department of Mathematics, King's College London, Strand, London WC2R 2LS, United Kingdom e-mail: breuning@mth.kcl.ac.uk

Article author query
breuning m   [Google Scholar] 
 

Abstract

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.

(Received August 19 2003)
(Revised February 11 2004)

Maths Classification

11S23 (primary); 11S25; 11R33 (secondary).



Footnotes

1 The author was supported by the DAAD and the EPSRC.