Galois points for plane curves and Cremona transformations

DOI10.1016/j.jalgebra.2008.04.018zbMath1159.14014OpenAlexW1970607014MaRDI QIDQ949584

Kei Miura

Publication date: 21 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2008.04.018

zbMATH Keywords

plane curveGalois pointCremona transformation

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Rational points (14G05) Plane and space curves (14H50)

Related Items (8)

Algebraic curves with collinear Galois points ⋮ An elementary abelian \(p\)-cover of the Hermitian curve with many automorphisms ⋮ Quasi-Galois points. I: Automorphism groups of plane curves ⋮ Galois points for a plane curve and its dual curve. II. ⋮ A note on birational transformations belonging to Galois points ⋮ Curves with more than one inner Galois point ⋮ Galois points for a normal hypersurface ⋮ Galois points for a plane curve in arbitrary characteristic

Cites Work

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• Galois points on singular plane quartic curves
• The group generated by automorphisms belonging to Galois points of the quartic surface.
• Birational geometry of plane curves
• Field theory for function fields of plane quartic curves
• Field theory for function fields of singular plane quartic curves
• Field theory for the function field of the quintic fermat curve
• Function field theory of plane curves by dual curves.

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