arXiv Analytics

Sign in

arXiv:1903.06143 [math.AG]AbstractReferencesReviewsResources

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.

Related articles: Most relevant | Search more
arXiv:math/0102203 [math.AG] (Published 2001-02-26, updated 2001-09-01)
The T^1-lifting theorem in positive characteristic
arXiv:1111.2964 [math.AG] (Published 2011-11-12)
Fano Hypersurfaces in Positive Characteristic
arXiv:1303.2349 [math.AG] (Published 2013-03-10, updated 2013-04-01)
Effective freeness and very ampleness in positive characteristic