Adam Chapman

collaborators

2 papers

math.NT2025

Essential dimension of sequences of quadratic Pfister forms

Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi

We study the essential dimension of the set of isometry classes of $m$ -tuples $(φ_{1}, ..., φ_{m})$ of quadratic $n$ -fold Pfister forms over a field $F$ such that the Witt class of $φ_1…

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…