On rational fixed points of finite group actions on the affine space
Algebraic Geometry
2017-10-30 v4
Abstract
Consider a finite l-group acting on the affine space of dimension n over a field k, whose characteristic differs from l. We prove the existence of a fixed point, rational over k, in the following cases: --- The field k is p-special for some prime p different from its characteristic. --- The field k is perfect and fertile, and n = 3.
Keywords
Cite
@article{arxiv.1507.04582,
title = {On rational fixed points of finite group actions on the affine space},
author = {Olivier Haution},
journal= {arXiv preprint arXiv:1507.04582},
year = {2017}
}