June 2024 Simultaneous Galois points for a reducible plane curve consisting of nonsingular components
Aki Ikeda, Takeshi Takahashi
Author Affiliations +
Kodai Math. J. 47(2): 251-265 (June 2024). DOI: 10.2996/kmj47208

Abstract

Yoshihara's definition of Galois points for irreducible plane curves is extended to reducible plane curves. We also define simultaneous Galois points, weakening the conditions of the definition. We study the number of simultaneous Galois points for a reduced plane curve with nonsingular components.

Funding Statement

This work was supported by JSPS KAKENHI Grant Number JP19K03441 and JST SPRING Grant Number JPMJSP2121.

Acknowledgment

We thank Prof. Satoru Fukasawa and Prof. Kei Miura for their helpful advice. We also thank Prof. Akinari Hoshi for his encouragement. We would like to thank Editage (www.editage.com) for English language editing.

Citation

Download Citation

Aki Ikeda. Takeshi Takahashi. "Simultaneous Galois points for a reducible plane curve consisting of nonsingular components." Kodai Math. J. 47 (2) 251 - 265, June 2024. https://doi.org/10.2996/kmj47208

Information

Received: 11 May 2023; Revised: 2 October 2023; Published: June 2024
First available in Project Euclid: 27 June 2024

Digital Object Identifier: 10.2996/kmj47208

Subjects:
Primary: 14H50
Secondary: 14H05 , 14H45

Keywords: Galois point , projection , Reducible Plane Curve

Rights: Copyright © 2024 Tokyo Institute of Technology, Department of Mathematics

Vol.47 • No. 2 • June 2024
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