Stably irrational hypersurfaces of small slopes
Algebraic Geometry
2019-10-23 v5 Complex Variables
Abstract
Let k be an uncountable field of characteristic different from two. We show that a very general hypersurface of dimension N>2 and degree at least is not stably rational over the algebraic closure of k.
Cite
@article{arxiv.1801.05397,
title = {Stably irrational hypersurfaces of small slopes},
author = {Stefan Schreieder},
journal= {arXiv preprint arXiv:1801.05397},
year = {2019}
}
Comments
34 pages; Appendix with explicit equations added. To appear in Journal of the AMS