Adam Chapman

collaborators

3 papers

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

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…