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arXiv · 1801.03198

Plane curves possessing two outer Galois points

Satoru Fukasawa·Pietro Speziali
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Abstract

We classify plane curves $\mathcal{C}$ possessing two Galois points $P_1$ and $P_2 \in \mathbb{P}^2 \setminus \mathcal{C}$ such that the associated Galois groups $G_{P_1}$ and $G_{P_2}$ generate the semidirect product $G_{P_1}\rtimes G_{P_2}$. New examples of plane curves with two Galois points are also presented.

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Satoru Fukasawa, Pietro Speziali. 2018-01-10. Plane curves possessing two outer Galois points. https://arxiv.org/abs/1801.03198

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