Variation of stable birational types in positive characteristic

Stefan Schreieder

Published 2019-03-14Version 1

We use results of Totaro and the author together with a decomposition of the diagonal argument and a moving lemma, to show that over any uncountable field (of arbitrary characteristic), two very general Fano hypersurfaces of the same dimension and the same sufficiently high degree are not stably birational to each other. This reproves and generalizes a recent result of Shinder.