Orders of automorphisms of smooth plane curves for the automorphism groups to be cyclic

DOI10.1007/s40065-021-00321-5zbMath1468.14064OpenAlexW3160990184MaRDI QIDQ2048941

Taro Hayashi

Publication date: 24 August 2021

Published in: Arabian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40065-021-00321-5

Mathematics Subject Classification ID

Plane and space curves (14H50) Automorphisms of curves (14H37)

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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• Quotient curves of smooth plane curves with automorphisms
• On Weierstrass points of nonhyperelliptic compact Riemann surfaces of genus three
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• The group of automorphisms of the Fermat curve
• Field theory for function fields of plane quartic curves
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• Smooth plane curves with freely acting finite groups
• Automorphism groups of smooth plane curves
• Characterization of the Fermat curve as the most symmetric nonsingular algebraic plane curve
• Non-singular plane curves with an element of “large” order in its automorphism group
• Automorphism Groups of Nonsingular Plane Curves of Degree 5
• RELATING GALOIS POINTS TO WEAK GALOIS WEIERSTRASS POINTS THROUGH DOUBLE COVERINGS OF CURVES
• NUMBER OF WEAK GALOIS-WEIERSTRASS POINTS WITH WEIERSTRASS SEMIGROUPS GENERATED BY TWO ELEMENTS
• Function field theory of plane curves by dual curves.

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