Common Slots of Bilinear and Quadratic Pfister Forms

2017/12/29 by Chapman, Adam
#11E04 (primary) #11E81 #16K20 (secondary) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.10178

Abstract

We show that over any field F of char(F)=2 and 2-rank n, there exist 2ⁿ 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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