A very general quartic double fourfold or fivefold is not stably rational
Algebraic Geometry
2015-12-29 v4
Abstract
Applying an idea of C. Voisin, we prove that a double cover of P^4 or P^5 branched along a very general quartic hypersurface is not stably rational.
Keywords
Cite
@article{arxiv.1411.3122,
title = {A very general quartic double fourfold or fivefold is not stably rational},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:1411.3122},
year = {2015}
}
Comments
The paper is withdrawn because of a crucial error in Proposition 3