Automorphism Groups of Nonsingular Plane Curves of Degree 5

DOI10.1080/00927872.2015.1087547zbMath1362.14031arXiv1510.06190OpenAlexW3100402120MaRDI QIDQ2817512

Eslam E. Badr, Francesc Bars Cortina

Publication date: 31 August 2016

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

Full work available at URL: https://arxiv.org/abs/1510.06190

zbMATH Keywords

automorphism groupsplane curves

Mathematics Subject Classification ID

Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Automorphisms of curves (14H37)

Related Items (12)

On the locus of smooth plane curves with a fixed automorphism group ⋮ Automorphism groups of pseudoreal Riemann surfaces ⋮ Galois covers of the projective line by smooth plane curves of large degree ⋮ Characterization of Fermat hypersurfaces by abelian groups ⋮ Riemann surfaces defined over the reals ⋮ Projective plane curves whose automorphism groups are simple and primitive ⋮ Dihedral groups and smooth plane curves with many quasi-Galois points ⋮ On twists of smooth plane curves ⋮ Orders of automorphisms of smooth plane curves for the automorphism groups to be cyclic ⋮ Linear automorphisms of smooth hypersurfaces giving Galois points ⋮ Smooth plane curves with outer Galois points whose reduced automorphism group is \(A_5\) ⋮ Detecting affine equivalences between implicit planar algebraic curves

Uses Software

• GAP

Cites Work

• Unnamed Item
• Non-singular plane curves with an element of “large” order in its automorphism group
• Classical Algebraic Geometry
• Solving the Sextic by Iteration: A Study in Complex Geometry and Dynamics

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