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Kato-Milne cohomology group over rational function fields in characteristic 2, II
Ahmed Laghribi, Trisha Maiti
Our aim in this paper is to prove in the setting of Kato-Milne cohomology in characteristic 2 an exact sequence which is analogue to the Milnor-Scharlau sequence [8, Theorem 6.2].…
5-dimensional minimal quadratic and bilinear forms over function fields of conics
Adam Chapman, Ahmed Laghribi
Over a field of characteristic 2, we give a complete classification of quadratic and bilinear forms of dimension 5 that are minimal over the function field of an arbitrary conic. T…
Kato-Milne cohomology group over rational function fields in characteristic 2, I
Ahmed Laghribi, Trisha Maiti
Let F be a field of characteristic 2. In this paper we determine the Kato-Milne cohomology of the rational function field F(x) in one variable x. This will be done by proving an an…
The descent of biquaternion algebras in characteristic two
Demba Barry, Adam Chapman, Ahmed Laghribi
In this paper we associate an invariant to a biquaternion algebra over a field with a subfield such that is a quadratic separable extension and $\operatorname{cha…
Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2
Andrew Dolphin, Ahmed Laghribi
We complete a classification of quadratic forms over a field of characteristic 2 of type (1,3) that become isotropic over the function field of a quadric.