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On symmetric plane quartic curves

2024/06/11 by Marek Janasz, Janasz, Marek
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2406.07015

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], and we study geometric properties of the smooth plane quartic having automorphism group of order 48.

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