Algebraic curves admitting inner and outer Galois points

Satoru Fukasawa

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arXiv · 2010.00815

Algebraic curves admitting inner and outer Galois points

Satoru Fukasawa

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Abstract

There are two purposes in this article. One is to present a criterion for the existence of a birational embedding into a projective plane with inner and outer Galois points for algebraic curves. Another is to classify plane curves of degree $d$ admitting an inner Galois point $P$ and an outer Galois point $Q$ with $G_PG_Q=G_P \rtimes G_Q$ or $G_P \ltimes G_Q$, under the assumption that the characteristic $p$ is zero or $p$ does not divide $d-1$.

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BibTeX RIS

Satoru Fukasawa. 2020-10-02. Algebraic curves admitting inner and outer Galois points. https://arxiv.org/abs/2010.00815

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