5 papers · 1 filter
A criterion for the existence of a plane model with two inner Galois points for algebraic curves
Kazuki Higashine
A criterion for the existence of a plane model with two non-smooth Galois points for algebraic curves is presented, which is a generalization of Fukasawa's criterion for two smooth…
Algebraic curves admitting the same Galois closure for two projections
Satoru Fukasawa, Kazuki Higashine, Takeshi Takahashi
A criterion for the existence of a plane model of an algebraic curve such that the Galois closures of projections from two points are the same is presented. As an application, it i…
A birational embedding with two Galois points for quotient curves
Satoru Fukasawa, Kazuki Higashine
A criterion for the existence of a birational embedding with two Galois points for quotient curves is presented. We apply our criterion to several curves, for example, some cyclic…
Galois lines for the Giulietti--Korchmáros curve
Satoru Fukasawa, Kazuki Higashine
We describe the arrangement of all Galois lines for the Giulietti--Korchmáros curve in the projective -space. As an application, we determine the set of all Galois points for a…
A birational embedding with two Galois points for certain Artin-Schreier curves
Satoru Fukasawa, Kazuki Higashine
We show that two curves of Artin-Schreier type have a birational embedding into a projective plane with two Galois points. As a consequence, all curves with large automorphism grou…