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math.NT2021
Minimal quadratic forms for the function field of a conic in characteristic
Adam Chapman, Anne Quéguiner-Mathieu
In this note, we construct explicit examples of -minimal quadratic forms of dimension and , where is the function field of a conic over a field of characteris…
math.NT2013
Involutions, odd-degree extensions and generic splitting
Jodi Black, Anne Quéguiner-Mathieu
Let be a quadratic form over a field and let be a field extension of of odd degree. It is a classical result that if is isotropic (resp. hyperbolic) then …