Orthogonal involutions over fields with I^3=0
Number Theory
2025-05-20 v2 Algebraic Geometry
Rings and Algebras
Abstract
We provide upper bounds on the u-invariant for skew-hermitian forms over a quaternion algebra with its canonical involution in terms of the u-invariant of the base field F of characteristic different from 2 when I^3F = 0.
Cite
@article{arxiv.2406.10609,
title = {Orthogonal involutions over fields with I^3=0},
author = {Karim Johannes Becher and Fatma Kader Bingöl},
journal= {arXiv preprint arXiv:2406.10609},
year = {2025}
}
Comments
23 pages