Generalised quadratic forms and the u-invariant
Rings and Algebras
2017-05-23 v2
Abstract
The u-invariant of a field is the supremum of the dimensions of anisotropic quadratic forms over the field. We define corresponding u-invariants for hermitian and generalised quadratic forms over a division algebra with involution in characteristic 2 and investigate the relationships between them. We also investigate these invariants in the case of a quaternion algebra and in particular when this quaternion algebra is the unique quaternion division algebra over a field.
Keywords
Cite
@article{arxiv.1610.06915,
title = {Generalised quadratic forms and the u-invariant},
author = {Andrew Dolphin},
journal= {arXiv preprint arXiv:1610.06915},
year = {2017}
}
Comments
20 pages