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arXiv · 2406.07015

On symmetric plane quartic curves

Marek Janasz
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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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Marek Janasz. 2024-06-11. On symmetric plane quartic curves. https://arxiv.org/abs/2406.07015

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