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Article Dans Une Revue J.Pure Appl.Algebra Année : 2017

Symplectic Involutions, quadratic pairs and function fields of conics

Résumé

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.

Dates et versions

hal-03858861 , version 1 (17-11-2022)

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Andrew Dolphin, Anne Quéguiner-Mathieu. Symplectic Involutions, quadratic pairs and function fields of conics. J.Pure Appl.Algebra, 2017, 221 (8), pp.1966-1980. ⟨hal-03858861⟩
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