Descendants of algebraic curves admitting two Galois points
Algebraic Geometry
2023-06-29 v1
Abstract
A connection between Galois points of an algebraic curve and those of a quotient curve is presented; in particular, the notion of a descendant of algebraic curves admitting two Galois points is introduced. It is shown that all descendants of a Fermat curve are Fermat curves; in particular, a Fermat curve does not have a descendant if and only if the degree is a prime.
Cite
@article{arxiv.2306.16044,
title = {Descendants of algebraic curves admitting two Galois points},
author = {Satoru Fukasawa},
journal= {arXiv preprint arXiv:2306.16044},
year = {2023}
}
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9 pages