Nonsimilar half-neighbors over fields of characteristic 2

Detlev W. Hoffmann, Magnus Wiedeking

The total isotropy index of a quadratic form $\ddot{I}†$ over a field $F$ is the maximum dimension of any totally isotropic subspace of $\ddot{I}†$. If $\ddot{I}†$ is anisotropic and $\ddot{I}ˆ$ is another an…