Characterization of a Hermitian curve by Galois point
Algebraic Geometry
2015-04-17 v2
Abstract
For a plane curve, a point in the projective plane is said to be Galois when the point projection induces a Galois extension of function fields. We give a new characterization of a Fermat curve whose degree minus one is a power of in characteristic , which is sometimes called Hermitian, by the number of Galois points lying on the curve.
Keywords
Cite
@article{arxiv.1108.5823,
title = {Characterization of a Hermitian curve by Galois point},
author = {Satoru Fukasawa},
journal= {arXiv preprint arXiv:1108.5823},
year = {2015}
}
Comments
11 pages, Added one Lemma and modified some proofs