Five-dimensional minimal quadratic and bilinear forms over function fields of conics
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 nondegenerate conics.
Authors
- Ahmed Laghribi (ORCID: https://orcid.org/0000-0002-1395-8766)
- Adam Chapman (ORCID: https://orcid.org/0000-0001-6968-8139)
Institutions
- Academic College of Tel Aviv-Yafo (IL)
- Université d'Artois (FR)
Publication Details
- Journal
- Pacific Journal of Mathematics
- Published
- 2025-09-21
- DOI
- https://doi.org/10.2140/pjm.2025.339.243
- Primary Topic
- Algebraic Geometry and Number Theory
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Centre National de la Recherche Scientifique