A basic result of
Milnor and Scharlau determines the Witt ring of rational function fields
Wk(x) whenever char k≠2. 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