Smooth plane curves with outer Galois points whose reduced automorphism group is \(A_5\)

DOI10.3792/pjaa.98.013zbMath1502.14077OpenAlexW4301596300MaRDI QIDQ2083440

Takeshi Harui, Kei Miura, Akira Ohbuchi

Publication date: 10 October 2022

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.98.013

zbMATH Keywords

automorphism groupplane curveGalois pointicosahedral group

Mathematics Subject Classification ID

Plane and space curves (14H50) Automorphisms of curves (14H37)

Cites Work

• On the locus of smooth plane curves with a fixed automorphism group
• Complete determination of the number of Galois points for a smooth plane curve
• Automorphism groups of smooth plane curves with many Galois points
• Automorphism group of plane curve computed by Galois points
• Automorphism group of plane curve computed by Galois points. II.
• Field theory for function fields of plane quartic curves
• Projective plane curves whose automorphism groups are simple and primitive
• Quasi-Galois points. I: Automorphism groups of plane curves
• A birational embedding with two Galois points for quotient curves
• Automorphism groups of smooth plane curves
• Automorphism Groups of Nonsingular Plane Curves of Degree 5
• Function field theory of plane curves by dual curves.

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