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Quadratic forms over
rational function fields in characteristic 2
Roberto Aravire and Bill Jacob |
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Vol. 228 (2006), No. 1, 19–51
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Abstract |
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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
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Mathematical Subject Classification 2000
Primary: 11E04
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Milestones
Received: 25 February 2005
Revised: 15 September 2005
Accepted: 1 November 2005
Published: 1 November 2006
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Authors |
| Roberto Aravire | |
| Departamento de Ciencias Físicas y
Matemáticas Universidad Arturo Prat Casilla 121 Iquique Chile |
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| Bill Jacob | |
| Department of Mathematics University of California Santa Barbara Santa Barbara, CA 93106 United States |
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