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arXiv · 1604.04733

Symplectic Involutions, quadratic pairs and function fields of conics

Andrew Dolphin·Anne Quéguiner-Mathieu
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Abstract

In this paper we study symplectic involutions and quadratic pairs that become hyperbolic over the function field of a conic. In particular, we classify them in degree 4 and deduce results on 5 dimensional minimal quadratic forms, thus extending to arbitrary fields some results of [24], which were only known in characteristic different from 2.

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Andrew Dolphin, Anne Quéguiner-Mathieu. 2016-04-16. Symplectic Involutions, quadratic pairs and function fields of conics. https://arxiv.org/abs/1604.04733

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