On Unirationality of Quartics over non Algebraically Closed Fields
Algebraic Geometry
2007-08-21 v1
Abstract
We give examples of smooth -unirational line-free quartic hypersurfaces over a non algebraically closed field . Unlike other methods of proving unirationality, our method does not rely on existence of linear spaces on quartics.
Cite
@article{arxiv.0708.2495,
title = {On Unirationality of Quartics over non Algebraically Closed Fields},
author = {Nikolay Zak},
journal= {arXiv preprint arXiv:0708.2495},
year = {2007}
}