Open Access
July 2021 A criterion for the existence of a plane model with two inner Galois points for algebraic curves
Kazuki Higashine
Hiroshima Math. J. 51(2): 163-176 (July 2021). DOI: 10.32917/h2020094

Abstract

A criterion for the existence of a plane model with two non-smooth Galois points for algebraic curves is presented, which is a generalization of Fukasawa’s criterion for two smooth Galois points. Multiplicities and order sequences at Galois points are also described in detail.

Funding Statement

The author was partially supported by Grant-in-Aid for JSPS Research Fellows (No. 20J12384).

Citation

Download Citation

Kazuki Higashine. "A criterion for the existence of a plane model with two inner Galois points for algebraic curves." Hiroshima Math. J. 51 (2) 163 - 176, July 2021. https://doi.org/10.32917/h2020094

Information

Received: 2 October 2020; Revised: 18 January 2021; Published: July 2021
First available in Project Euclid: 12 July 2021

MathSciNet: MR4285841
zbMATH: 1470.14051
Digital Object Identifier: 10.32917/h2020094

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

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

Rights: Copyright © 2021 Hiroshima University, Mathematics Program

Vol.51 • No. 2 • July 2021
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