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Orthogonal involutions over fields with I^3=0

Published 15 Jun 2024 in math.NT, math.AG, and math.RA | (2406.10609v2)

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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