Ahmed Laghribi

collaborators

7 papers

math.KT2026

Sums of two symbols in $K_{2} (F) /2 K_{2} (F)$ in characteristic two

Demba Barry, Adam Chapman, Ahmed Laghribi

In this paper, study sums $A = {a, b}_{2} + {c, d}_{2}$ of two symbols in $K_{2} (F) /2 K_{2} (F)$ when $char (F) = 2$ . We first prove a chain lemma that connects $A$ to $B=\{Î±,Î²\}…

math.NT2026

A cohomological invariant for algebras of degree 8 and exponent 2 in characteristic 2

Ahmed Laghribi, Nico Lorenz

Our aim in this paper is to extend a work of Sivatski to characteristic 2. More precisely, for $F$ a field of characteristic $2$ and a central simple algebra $A$ of exponent 2 that…

math.NT2025

Essential dimension of sequences of quadratic Pfister forms

Fatma Kader BingÃ¶l, Adam Chapman, Ahmed Laghribi

We study the essential dimension of the set of isometry classes of $m$ -tuples $(I ¨ _{1}, ..., I ¨ _{m})$ of quadratic $n$ -fold Pfister forms over a field $F$ such that the Witt class of $Ï…

math.NT2025

Mixed multiquadratic splitting fields

Fatma Kader BingÃ¶l, Adam Chapman, Ahmed Laghribi

We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent $2$ in characteristic $2$ . As an application, we provide examples of none…

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…