Common Slots of Bilinear and Quadratic Pfister Forms
Commutative Algebra
2018-03-01 v2
Abstract
We show that over any field of and 2-rank , there exist bilinear -fold Pfister forms that have no slot in common. This answers a question of Becher's in the negative. We provide an analogous result also for quadratic Pfister forms.
Cite
@article{arxiv.1712.10178,
title = {Common Slots of Bilinear and Quadratic Pfister Forms},
author = {Adam Chapman},
journal= {arXiv preprint arXiv:1712.10178},
year = {2018}
}