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arXiv · 2002.10422

Quadratic descent of hermitian forms (with an erratum)

Amir Hossein Nokhodkar
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Abstract

Quadratic descent of hermitian and skew hermitian forms over division algebras with involution of the first kind in arbitrary characteristic is investigated and a criterion, in terms of systems of quadratic forms, is obtained. A refined result is also obtained for hermitian (resp. skew hermitian) forms over a quaternion algebra with symplectic (resp. orthogonal) involution.

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Amir Hossein Nokhodkar. 2020-02-24. Quadratic descent of hermitian forms (with an erratum). https://doi.org/10.1002/mana.201800429

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