Similarity of Quadratic Forms Over Global Fields in Characteristic 2

摘要

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 Kv, then they are similar over K. This provides an analogue of the version for characteristic not 2 previously obtained by T. Ono.