Unirationality and geometric unirationality for hypersurfaces in positive characteristics
Algebraic Geometry
2020-02-24 v1
Abstract
Building on work of Segre and Koll'ar on cubic hypersurfaces, we construct over imperfect fields of characteristic p\geq 3 particular hypersurfaces of degree p, which show that geometrically rational schemes that are regular and whose rational points are Zariski dense are not necessarily unirational. A likewise behaviour holds for certain cubic surfaces in characteristic p=2.
Keywords
Cite
@article{arxiv.2002.09228,
title = {Unirationality and geometric unirationality for hypersurfaces in positive characteristics},
author = {Keiji Oguiso and Stefan Schröer},
journal= {arXiv preprint arXiv:2002.09228},
year = {2020}
}
Comments
16 pages