Topological types of actions on curves

DOI10.1016/j.jsc.2023.01.002OpenAlexW4318562238MaRDI QIDQ2701026

Roberto Pignatelli, Alessandro Ghigi, Diego Conti

Publication date: 27 April 2023

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.00981

zbMATH Keywords

braid groupautomorphisms of Riemann surfacesHurwitz movesgroup actions in low dimensional topologyspecial subvarieties of the moduli space of curves

Mathematics Subject Classification ID

Families, moduli, classification: algebraic theory (14J10) Computational aspects of algebraic curves (14Q05) Group actions on manifolds and cell complexes in low dimensions (57M60) Automorphisms of curves (14H37) Families, moduli of curves (analytic) (14H15)

Uses Software

• Magma

Cites Work

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• Product-quotient surfaces: new invariants and algorithms
• Shimura varieties in the Torelli locus via Galois coverings of elliptic curves
• Irreducibility of the space of dihedral covers of the projective line of a given numerical type
• Special subvarieties arising from families of cyclic covers of the projective line
• The classification of isotrivially fibred surfaces with \(p_{g} = q = 2\)
• The irreducible components of the moduli space of dihedral covers of algebraic curves
• Automorphism groups of compact Riemann surfaces of genera three and four
• Automorphism groups of compact Riemann surfaces of genus five
• Standard isotrivial fibrations with \(p_g=q=1\)
• Surfaces and planar discontinuous groups. Revised and expanded transl. from the German by J. Stillwell
• The inverse Galois problem and rational points on moduli spaces
• Matrices and cohomology
• Moduli spaces for covers of the Riemann sphere
• The Magma algebra system. I: The user language
• Graphs on surfaces and their applications. Appendix by Don B. Zagier
• Étale homotopy types of moduli stacks of algebraic curves with symmetries
• Some evidence for the Coleman-Oort conjecture
• Smooth covers of moduli stacks of Riemann surfaces with symmetry
• On large prime actions on Riemann surfaces
• Quotients of the square of a curve by a mixed action, further quotients and Albanese morphisms
• Standard isotrivial fibrations with \(p_g = q = 1\). II.
• The classification of minimal product-quotient surfaces with 𝑝_{𝑔}=0
• Quotients of products of curves, new surfaces with <i>p_g</i> = 0 and their fundamental groups.
• MIXED QUASI-ÉTALE QUOTIENTS WITH ARBITRARY SINGULARITIES
• Genus stabilization for the components of moduli spaces of curves with symmetries
• Large group actions on surfaces
• Shimura Varieties in the Torelli Locus via Galois Coverings
• The classification of surfaces with p_g = q = 1 isogenous to a product of curves
• A family of surfaces with and Albanese map of degree 3
• ENUMERATION OF HOMOMORPHISMS AND SURFACE-COVERINGS
• Surfaces Isogenous to a Product of Curves, Braid Groups and Mapping Class Groups
• Endliche Gruppen I

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