Vol. 228, No. 1, 2006

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Roberto Aravire & Bill Jacob

Abstract

A basic result of Milnor and Scharlau determines the Witt ring of rational function fields Wk(x) whenever char k2. An analogous result is obtained here for the Witt group of quadratic forms WqF(x), where F is a field of characteristic 2. This generalizes earlier work by the authors where F was assumed to be perfect.

Keywords

Witt group, rational function fields, characteristic two

Mathematical Subject Classification

Primary: 11E04

Authors
Roberto Aravire
Departamento de Ciencias Físicas y Matemáticas
Universidad Arturo Prat
Casilla 121
Iquique
Chile
Bill Jacob
Department of Mathematics
University of California Santa Barbara
Santa Barbara, CA 93106
United States