Galois morphism computing the gonality of a nonsingular projective curve on a Hirzebruch surface

DOI10.1016/j.jpaa.2011.04.020zbMath1235.14027OpenAlexW1997054588MaRDI QIDQ659889

Takeshi Takahashi

Publication date: 24 January 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.04.020

zbMATH Keywords

automorphismGalois groupruled surfacegonalityfield extensionHirzebruch surfacedefining equation

Mathematics Subject Classification ID

Automorphisms of curves (14H37) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (2)

Ramification locus of projections of smooth hypersurfaces to be Galois rational covers ⋮ A note on gonality of curves on general hypersurfaces

Cites Work

• The gonality of curves on a Hirzebruch surface
• Field theory for function fields of plane quartic curves
• Function field theory of plane curves by dual curves.
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