Minimal quadratic forms for the function field of a conic in characteristic 2
Minimal quadratic forms for the function field of a conic in characteristic 2
In this note, we construct explicit examples of <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper F Subscript upper Q"> <mml:semantics> <mml:msub> <mml:mi>F</mml:mi> <mml:mi>Q</mml:mi> </mml:msub> <mml:annotation encoding="application/x-tex">F_Q</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-minimal quadratic forms of dimension <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="5"> <mml:semantics> <mml:mn>5</mml:mn> <mml:annotation encoding="application/x-tex">5</mml:annotation> </mml:semantics> </mml:math> </inline-formula> and <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="7"> <mml:semantics> …