2021 Algebraic curves with collinear Galois points
Satoru Fukasawa
Author Affiliations +
Nihonkai Math. J. 32(2): 71-78 (2021).

Abstract

A criterion for the existence of a birational embedding into a projective plane with three collinear Galois points for algebraic curves is presented. The extendability of an automorphism induced by a Galois point to a linear transformation of the projective plane is also discussed, under the assumption that two Galois points exist.

Funding Statement

The author was partially supported by JSPS KAKENHI Grant Number JP19K03438.

Acknowledgments

The author is grateful to Doctor Kazuki Higashine for helpful discussions.

Citation

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Satoru Fukasawa. "Algebraic curves with collinear Galois points." Nihonkai Math. J. 32 (2) 71 - 78, 2021.

Information

Received: 12 April 2021; Revised: 9 July 2021; Published: 2021
First available in Project Euclid: 3 May 2022

Subjects:
Primary: 14H05 , 14H50
Secondary: 14H37

Keywords: automorphism group , Galois group , Galois point , plane curve

Rights: Copyright © 2021 Niigata University, Department of Mathematics

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Vol.32 • No. 2 • 2021
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