Galois lines for the Artin-Schreier-Mumford curve

DOI10.1016/j.ffa.2021.101894zbMath1470.14061arXiv2005.10073OpenAlexW3174681304MaRDI QIDQ1979959

Satoru Fukasawa

Publication date: 3 September 2021

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.10073

zbMATH Keywords

automorphism groupGalois pointGalois lineArtin-Schreier-Mumford curve

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Plane and space curves (14H50) Automorphisms of curves (14H37) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (2)

A criterion for the existence of a plane model with two inner Galois points for algebraic curves ⋮ Automorphism group, Galois points and lines of the generalized Artin-Schreier-Mumford curve

Cites Work

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• Galois points for a plane curve in characteristic two
• Algebraic function fields and codes
• Galois points for a plane curve in arbitrary characteristic
• The p-rank of Artin-Schreier curves
• Field theory for function fields of plane quartic curves
• Galois subspaces for smooth projective curves
• Generalized Artin-Mumford curves over finite fields
• Galois lines for the Giulietti-Korchmáros curve
• A family of plane curves with two or more Galois points in positive characteristic
• The geometry of the Artin-Schreier-Mumford curves over an algebraically closed field
• Galois Lines for Normal Elliptic Space Curves
• Galois Lines for Space Curves
• Function field theory of plane curves by dual curves.

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