Ahmed Laghribi and Ulf Rehmann: On bilinear forms of height 2 and degree 1 or 2 in characteristic 2

laghribi@euler.univ-artois.fr; rehmann@math.uni-bielefeld.de

Submission: 2008, May 30

Our aim in this paper is to complete some results given in [15] on the classification of symmetric bilinear forms of height 2 and degree d=1 or 2 over fields of characteristic 2, i.e., those whose anisotropic parts over their own function fields are similar to d-fold bilinear Pfister forms.

2000 Mathematics Subject Classification: 11E04; 11E81

Keywords and Phrases: Bilinear and quadratic forms, function fields of quadrics, standard splitting theory, norm degree.

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