Galois points on singular plane quartic curves

DOI10.1016/j.jalgebra.2005.02.015zbMath1078.14031OpenAlexW2035352454MaRDI QIDQ556962

Kei Miura

Publication date: 23 June 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.02.015

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Plane and space curves (14H50) Singularities of curves, local rings (14H20) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (10)

A birational embedding of an algebraic curve into a projective plane with two Galois points ⋮ A note on Galois embeddings of abelian varieties ⋮ Ramification locus of projections of smooth hypersurfaces to be Galois rational covers ⋮ Classification of plane curves with infinitely many Galois points ⋮ Curves with more than one inner Galois point ⋮ A criterion for the existence of a plane model with two inner Galois points for algebraic curves ⋮ Galois points for plane curves and Cremona transformations ⋮ Singular plane curves with infinitely many Galois points ⋮ Galois points for a plane curve in arbitrary characteristic ⋮ Rational cuspidal curve with a Galois point

Cites Work

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• Field theory for function fields of plane quartic curves
• Field theory for function fields of singular plane quartic curves
• Geometry of quartic curves
• Field theory for the function field of the quintic fermat curve

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