3 citations · 4 across the 3 of their papers we have counts for
3 papers
math.NT2024
Isotropy indices of Pfister multiples in characteristic two
Nico Lorenz, Kristýna Zemková
Let be a field of characteristic , be an -fold bilinear Pfister form over and an arbitrary quadratic form over . In this note, we investigate Witt index, d…
math.NT2023★ 1 cited
Vishik equivalence and similarity of quasilinear -forms and totally singular quadratic forms
Kristýna Zemková
For quadratic forms over fields of characteristic different from two, there is a so-called Vishik criterion, giving a purely algebraic characterization of when two quadratic forms…
math.NT2022★ 3 cited
Isotropy of quadratic forms over function fields in characteristic 2
Kristýna Zemková
We extend to characteristic two recent results about isotropy of quadratic forms over function fields. In particular, we provide a characterization of function fields not only of q…