2024
DOI: 10.1090/conm/800/16053
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Minimal quadratic forms for the function field of a conic in characteristic 2

Adam Chapman,
Anne Quéguiner-Mathieu

Abstract: In this note, we construct explicit examples of F Q F_Q -minimal quadratic forms of dimension 5 5 and 7 7 , where F Q F_Q is the function field of a conic over a field F F of characteristic 2 2 . The construction uses the fact that any set of n n cyclic p p algebras over a field of characteristic p p can be described u… Show more

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