5-dimensional minimal quadratic and bilinear forms over function fields of conics
Commutative Algebra
2025-04-10 v1
Abstract
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. This completes the unique known case due to Faivre concerning the classification of minimal quadratic forms of dimension 5 and type (2,1) over function fields of nonsingular conics.
Keywords
Cite
@article{arxiv.2504.06723,
title = {5-dimensional minimal quadratic and bilinear forms over function fields of conics},
author = {Adam Chapman and Ahmed Laghribi},
journal= {arXiv preprint arXiv:2504.06723},
year = {2025}
}