Non-singular plane curves with an element of “large” order in its automorphism group

DOI10.1142/S0218196716500168zbMath1357.14041arXiv1510.06192MaRDI QIDQ2799127

Francesc Bars Cortina, Eslam E. Badr

Publication date: 8 April 2016

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06192

zbMATH Keywords

automorphism groupsmoduli spacesplane modelsnon-singular 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 (11)

On the locus of smooth plane curves with a fixed automorphism group ⋮ Tautological families of cyclic covers of projective spaces ⋮ 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 ⋮ Riemann surfaces defined over the reals ⋮ 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 ⋮ Automorphism Groups of Nonsingular Plane Curves of Degree 5 ⋮ Linear automorphisms of smooth hypersurfaces giving Galois points

Uses Software

• GAP
• SageMath

Cites Work

• On the locus of smooth plane curves with a fixed automorphism group
• Classical Algebraic Geometry
• Unnamed Item

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