%0 Journal Article
%T The behaviour of differential and quadratic forms under purely inseparable field extensions
%A Marco Sobiech
%J Mathematics
%D 2015
%I arXiv
%X In this paper, we will find the generators of the Witt-kernel of quadratic forms in characteristic two for purely inseparable field extension $E/F$. This will be done using Kato's isomorphism $I^n(F)W_q(F)/I^{n+1}W_q(F) \to H_2^{n+1}(F)$ together with some theory of quadratic forms.
%U http://arxiv.org/abs/1512.02079v1