A birational embedding of an algebraic curve into a projective plane with two Galois points

TL;DR

This paper provides a criterion for embedding algebraic curves into the projective plane with two Galois points and presents new examples of such curves, advancing understanding of their geometric properties.

Contribution

It introduces a new criterion for birational embeddings with two Galois points and offers novel examples of plane curves exhibiting this property.

Findings

Established a criterion for the existence of such embeddings.

Constructed new examples of plane curves with two Galois points.

Abstract

A criterion for the existence of a birational embedding of an algebraic curve into a projective plane with two Galois points is presented. Several novel examples of plane curves with two inner Galois points as an application are described.