Submission: 2016, Jan 8
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 , which were only known in characteristic different from 2.
2010 Mathematics Subject Classification: 11E39, 11E81, 12F05, 12F10.
Keywords and Phrases: Central simple algebras, involutions, characteristic two, quadratic forms, quadratic pairs, conics.
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