Non-rationality of the S_6-symmetric quartic threefolds
Algebraic Geometry
2013-01-03 v2
Abstract
The quartic hypersurfaces in P^4 invariant under the standard representation of S_6 form a linear pencil. We prove that a general member of this pencil is not rational.
Cite
@article{arxiv.1212.5345,
title = {Non-rationality of the S_6-symmetric quartic threefolds},
author = {Arnaud Beauville},
journal= {arXiv preprint arXiv:1212.5345},
year = {2013}
}
Comments
One (annoying) typo corrected