On the locus of smooth plane curves with a fixed automorphism group

DOI10.1007/s00009-016-0705-9zbMath1352.14022arXiv1510.06186OpenAlexW2254402213MaRDI QIDQ350247

Eslam E. Badr, Francesc Bars Cortina

Publication date: 7 December 2016

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

Full work available at URL: https://arxiv.org/abs/1510.06186

zbMATH Keywords

automorphism groupsplane non-singular curves

Mathematics Subject Classification ID

Plane and space curves (14H50) Special algebraic curves and curves of low genus (14H45) Riemann surfaces; Weierstrass points; gap sequences (14H55) Automorphisms of curves (14H37)

Related Items (5)

Riemann surfaces defined over the reals ⋮ On twists of smooth plane curves ⋮ Non-singular plane curves with an element of “large” order in its automorphism group ⋮ Bielliptic smooth plane curves and quadratic points ⋮ Smooth plane curves with outer Galois points whose reduced automorphism group is \(A_5\)

Cites Work

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• The irreducible components of the moduli space of dihedral covers of algebraic curves
• On the locus of curves with automorphisms
• Finite group actions on \(P^ 2({\mathbb{C}})\)
• Automorphism groups of smooth plane curves
• Non-singular plane curves with an element of “large” order in its automorphism group
• Automorphism Groups of Nonsingular Plane Curves of Degree 5
• Classical Algebraic Geometry
• Irreducibility of the space of cyclic covers of algebraic curves of fixed numerical type and the irreducible components of $Sing (\bar{\mathfrak M_g})$
• Function field theory of plane curves by dual curves.

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