Isotropy of 5-dimensional quadratic forms over the function field of a quadric in characteristic 2

TL;DR

This paper classifies certain 5-dimensional quadratic forms over fields of characteristic 2, focusing on their isotropy over the function field of a quadric, thereby advancing understanding in algebraic form theory.

Contribution

It provides a complete classification of quadratic forms of type (1,3) in characteristic 2 regarding their isotropy over specific function fields.

Findings

Classification of quadratic forms of type (1,3) in characteristic 2

Determination of isotropy conditions over function fields of quadrics

Completion of the existing classification framework

Abstract

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.