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arXiv · 1712.10178

Common Slots of Bilinear and Quadratic Pfister Forms

Adam Chapman
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Abstract

We show that over any field $F$ of $\operatorname{char}(F)=2$ and 2-rank $n$, there exist $2^n$ bilinear $n$-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.

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Adam Chapman. 2018-02-28. Common Slots of Bilinear and Quadratic Pfister Forms. https://arxiv.org/abs/1712.10178

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