Algebraic curves admitting the same Galois closure for two projections
Algebraic Geometry
2022-10-06 v1
Abstract
A criterion for the existence of a plane model of an algebraic curve such that the Galois closures of projections from two points are the same is presented. As an application, it is proved that the Hermitian curve in positive characteristic coincides with the Galois closures of projections of some plane curve from some two non-uniform points.
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Cite
@article{arxiv.1905.02353,
title = {Algebraic curves admitting the same Galois closure for two projections},
author = {Satoru Fukasawa and Kazuki Higashine and Takeshi Takahashi},
journal= {arXiv preprint arXiv:1905.02353},
year = {2022}
}
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6 pages