Isotropy indices of Pfister multiples in characteristic 2 (Q6597189)

In the paper under review the authors investigate Witt index, defect, total isotropy index and higher isotropy indices of an arbitrary quadratic form \(\varphi\) over a field \(F\) of characteristic 2 as well as \(\pi \otimes \varphi\), where \(\pi\) is an \(n\)-fold Pfister form. \textit{J. O'Shea} [J. Algebra 449, 214--236 (2016; Zbl 1333.11037)] investigated multiples of Pfister forms over fields of characteristic not 2, where he attempted to establish a link between the isotropy behaviour of \(\varphi\) over the function field \(F (\psi)\) with the one of \(\pi \otimes \varphi\) over \(F (\pi \otimes \psi)\), for an arbitrary quadratic form \(\psi\). The authors aim to transfer these results to characteristic 2 whenever possible.