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Similarity of Quadratic Forms Over Global Fields in Characteristic 2

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Let K be a global function field of characteristic 2. For each non-trivial place v of K, let $$ K_{v} $$ be the completion of K at v. We show… Click to show full abstract

Let K be a global function field of characteristic 2. For each non-trivial place v of K, let $$ K_{v} $$ be the completion of K at v. We show that if two non-degenerate quadratic forms are similar over every $$ K_{v} $$, then they are similar over K. This provides an analogue of the version for characteristic not 2 previously obtained by T.Ono.

Keywords: global fields; fields characteristic; quadratic forms; forms global; similarity quadratic

Journal Title: Advances in Applied Clifford Algebras
Year Published: 2019

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