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arXiv · 2306.16044

Descendants of algebraic curves admitting two Galois points

Satoru Fukasawa
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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.

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Satoru Fukasawa. 2023-06-28. Descendants of algebraic curves admitting two Galois points. https://arxiv.org/abs/2306.16044

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