June 15, 2024Open Access

Orthogonal involutions over fields with I³=0

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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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Becher et al. (Sat,) studied this question.

synapsesocial.com/papers/68e64a00b6db6435875dae36 https://doi.org/https://doi.org/10.48550/arxiv.2406.10609

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