Some Algebraic Aspects of Quadratic Forms over Fields of Characteristic Two

This paper is intended to give a survey in the algebraic theory of quadratic forms over fields of characteristic two. The relationship between differential forms and quadratics and bilinear forms over such fields discovered by Kato is used to reduced some problems on quadratics forms to concrete questions about differential forms, which in general are easier to handle.

2000 Mathematics Subject Classification: 11 E04, 11 E81, 12 E05, 12 F20

Keywords and Phrases: Keywords and Phrases: Bilinear forms, Quadratic forms, Differential forms, Witt-groups, Function fields.

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