Galois points for a plane curve in arbitrary characteristic

DOI10.1007/s10711-008-9325-2zbMath1160.14304OpenAlexW1977546731MaRDI QIDQ1018069

Satoru Fukasawa

Publication date: 13 May 2009

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-008-9325-2

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Plane and space curves (14H50) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (14)

Complete determination of the number of Galois points for a smooth plane curve ⋮ Quasi-Galois points. I: Automorphism groups of plane curves ⋮ Galois points for a plane curve in characteristic two ⋮ Algebraic curves admitting non-collinear Galois points ⋮ Galois points for a plane curve and its dual curve. II. ⋮ A new characterisation of the Fermat curve ⋮ A birational embedding with two Galois points for quotient curves ⋮ Galois points for a non-reflexive plane curve of low degree ⋮ Galois points for a plane curve and its dual curve ⋮ A criterion for the existence of a plane model with two inner Galois points for algebraic curves ⋮ Galois lines for the Artin-Schreier-Mumford curve ⋮ Galois points for a normal hypersurface ⋮ On the number of Galois points for a plane curve in positive characteristic. III ⋮ Singular plane curves with infinitely many Galois points

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Galois points on singular plane quartic curves
• Classification of plane curves with infinitely many Galois points
• Algebraic function fields and codes
• The group generated by automorphisms belonging to Galois points of the quartic surface.
• The genera of Galois closure curves for plane quartic curves
• Galois points for plane curves and Cremona transformations
• Rational curve with Galois point and extendable Galois automorphism
• On dihedral Galois coverings arising from Lissajous's curves
• Degree of irrationality of an algebraic surface
• Galois points for smooth hypersurfaces.
• Infinitesimal deformation of Galois covering space and its application to Galois closure curves
• On the number of Galois points for plane curves of prime degree
• Galois points on normal quartic surfaces.
• Families of Galois closure curves for plane quartic curves
• Field theory for function fields of plane quartic curves
• Singular plane curves with infinitely many Galois points
• On the number of Galois points for a plane curve in positive characteristic. II.
• Galois emdedding of algebraic variety and its applications to abelian surface
• Galois points on quartic curves in characteristic 3
• Non-smooth Galois point on a quintic curve with one singular point
• Galois Points for a Hermitian Curve
• The Galois group of a projection of a Hermitian curve
• Weierstrass Points and Curves Over Finite Fields
• Field theory for function fields of singular plane quartic curves
• Galois Lines for Normal Elliptic Space Curves
• Field theory for the function field of the quintic fermat curve
• On the Number of Galois Points for a Plane Curve in Positive Characteristic
• Galois Lines for Space Curves
• Monodromy of projective curves
• Function field theory of plane curves by dual curves.
• Galois points on quartic surfaces

This page was built for publication: Galois points for a plane curve in arbitrary characteristic