Linear automorphisms of smooth hypersurfaces giving Galois points

DOI10.4134/BKMS.b200428zbMath1470.14084arXiv2101.04797OpenAlexW3190205668MaRDI QIDQ5153310

Taro Hayashi

Publication date: 29 September 2021

Full work available at URL: https://arxiv.org/abs/2101.04797

zbMATH Keywords

automorphismGalois extensionGalois pointsmooth hypersurface

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (4)

Ramification locus of projections of smooth hypersurfaces to be Galois rational covers ⋮ Galois covers of the projective line by smooth plane curves of large degree ⋮ Characterization of Fermat hypersurfaces by abelian groups ⋮ Dihedral groups and smooth plane curves with many quasi-Galois points

Cites Work

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• On the automorphisms of hypersurfaces
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• Automorphism Groups of Nonsingular Plane Curves of Degree 5
• RELATING GALOIS POINTS TO WEAK GALOIS WEIERSTRASS POINTS THROUGH DOUBLE COVERINGS OF CURVES
• Galois points for a normal hypersurface
• The gonality theorem of Noether for hypersurfaces
• Function field theory of plane curves by dual curves.
• Galois points on quartic surfaces

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