Orthogonal involutions over fields with I^3=0
arXiv:2406.10609 · doi:10.1016/j.jpaa.2025.107979
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.
23 pages