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