Algebraic curves with collinear Galois points

zbMath1485.14054arXiv1910.02650MaRDI QIDQ2135507

Satoru Fukasawa

Publication date: 9 May 2022

Published in: Nihonkai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.02650

zbMATH Keywords

Galois groupautomorphism groupplane curveGalois point

Mathematics Subject Classification ID

Plane and space curves (14H50) Automorphisms of curves (14H37) Algebraic functions and function fields in algebraic geometry (14H05)

Cites Work

• Algebraic function fields and codes
• Galois points for plane curves and Cremona transformations
• Rational curve with Galois point and extendable Galois automorphism
• A birational embedding of an algebraic curve into a projective plane with two Galois points
• Field theory for function fields of plane quartic curves
• A birational embedding with two Galois points for quotient curves
• Galois lines for the Giulietti-Korchmáros curve
• Galois points for a non-reflexive plane curve of low degree
• An upper bound for the number of Galois points for a plane curve
• Rational curves with many rational points over a finite field
• Function field theory of plane curves by dual curves.
• Algebraic curves admitting non-collinear Galois points

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