Rationality problem for transitive subgroups of S_8
Algebraic Geometry
2014-02-10 v1
Abstract
For any field K and any transitive subgroup G of S_8, let G acts naturally on K(x_1, . . ., x_8) by permutations of the variables, we prove that under some minor conditions K(x_1, . . ., x_8)^G is always K-rational except G is A_8 or G is isomorphic to PGL(2, 7). We pay special attentions on the characteristic 2 cases.
Cite
@article{arxiv.1402.1675,
title = {Rationality problem for transitive subgroups of S_8},
author = {Baoshan Wang and Jian Zhou},
journal= {arXiv preprint arXiv:1402.1675},
year = {2014}
}
Comments
29 pages