Open Access
February, 2025 On Symmetric Plane Quartic Curves
Marek Janasz
Author Affiliations +
Taiwanese J. Math. 29(1): 1-11 (February, 2025). DOI: 10.11650/tjm/240707

Abstract

In the present paper, we study the geometry of plane quartics with large automorphism groups. We show results devoted to smooth plane quartics that are invariant under the action of the elementary Abelian group of type $[2,2,2]$. Then we study geometric properties of the smooth plane quartic having automorphism group of order $48$.

Funding Statement

Marek Janasz is supported by the National Science Centre (Poland) Sonata Bis Grant 2023/50/E/ST1/00025. For the purpose of Open Access, the authors have applied a CC-BY public copyright licence to any Author Accepted Manuscript (AAM) version arising from this submission.

Acknowledgments

I would like to thank Xavier Roulleau for helpful comments and MAGMA computations.

Citation

Download Citation

Marek Janasz. "On Symmetric Plane Quartic Curves." Taiwanese J. Math. 29 (1) 1 - 11, February, 2025. https://doi.org/10.11650/tjm/240707

Information

Received: 26 June 2024; Accepted: 24 July 2024; Published: February, 2025
First available in Project Euclid: 8 August 2024

Digital Object Identifier: 10.11650/tjm/240707

Subjects:
Primary: 14C20 , 14H50 , 14N25 , 32S25

Keywords: line arrangements , plane quartic curves , singularities

Rights: Copyright © 2025 The Mathematical Society of the Republic of China

Vol.29 • No. 1 • February, 2025
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