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arXiv · 2008.13427

Projective plane curves whose automorphism groups are simple and primitive

Yusuke Yoshida
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Abstract

We study complex projective plane curves with a given group of automorphisms. Let $G$ be a simple primitive subgroup of $PGL(3, \mathbb{C})$, which is isomorphic to $A_{6}$, $A_{5}$ or $PSL(2, \mathbb{F}_{7})$. We obtain a necessary and sufficient condition on $d$ for the existence of a nonsingular projective plane curve of degree $d$ invariant under $G$. We also study an analogous problem on integral curves.

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Yusuke Yoshida. 2020-08-31. Projective plane curves whose automorphism groups are simple and primitive. https://arxiv.org/abs/2008.13427

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