3 papers
math.AC2025
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].…
math.AC2025
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…
math.AC2025
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…