Orthogonal involutions over fields with I³=0

2024/06/15 by Karim Johannès Becher, Becher, Karim Johannes, Fatma Kader Bi̇ngöl +1
Computer Science · Mathematics · #11E39 #16K20 #16W10 #Advanced Mathematical Modeling in Engineering #Algebraic Geometry (math.AG) #Algebraic and Geometric Analysis #FOS: Mathematics #Number Theory (math.NT) #Rings and Algebras (math.RA) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2406.10609

openalex publication_date 2024/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 I³F = 0.

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