Smooth weighted hypersurfaces that are not stably rational
Algebraic Geometry
2017-09-26 v2
Abstract
We prove the failure of stable rationality for many smooth well formed weighted hypersurfaces of dimension at least 3. It is in particular proved that a very general smooth well formed Fano weighted hypersurface of index one is not stably rational.
Keywords
Cite
@article{arxiv.1709.07748,
title = {Smooth weighted hypersurfaces that are not stably rational},
author = {Takuzo Okada},
journal= {arXiv preprint arXiv:1709.07748},
year = {2017}
}
Comments
25 pages. A typo in the statement of Corollary 1.5 is fixed