Irreducible components of special loci in moduli spaces of curves, Galois action in general genus

DOI10.5802/aif.2930zbMath1326.11069arXiv1412.4644OpenAlexW2964063366MaRDI QIDQ748358

Sylvain Maugeais, Benjamin Collas

Publication date: 20 October 2015

Published in: Annales de l'Institut Fourier, Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.4644

zbMATH Keywords

branched coveringabsolute Galois groupalgebraic fundamental groupinertia stackgood groupsmoduli space of algebraic curvesspecial locistack inertiadeformation of curveslimits of Galois representation

Mathematics Subject Classification ID

Galois theory (11R32) Families, moduli of curves (algebraic) (14H10) Special algebraic curves and curves of low genus (14H45) Coverings of curves, fundamental group (14H30)

Related Items (3)

Curves with prescribed symmetry and associated representations of mapping class groups ⋮ Groupe fondamental des champs algébriques, inertie et action galoisienne ⋮ Irreducible components of special loci in moduli spaces of curves, Galois action in general genus

Cites Work

• Connected and irreducible components in families
• Irreducible components of special loci in moduli spaces of curves, Galois action in general genus
• Special loci in moduli of marked curves
• On the locus of curves with automorphisms
• The equisymmetric stratification of the moduli space and the Krull dimension of mapping class groups
• A cohomological interpretation of the Grothendieck-Teichmüller group. Appendix by C. Scheiderer
• On a subgroup of the Grothendieck-Teichmüller group acting on the tower of profinite Teichmüller modular groups.
• Étale homotopy types of moduli stacks of algebraic curves with symmetries
• Coupling of universal monodromy representations of Galois-Teichmüller modular groups
• Action of the Grothendieck-Teichmüller group on torsion elements of full Teichmüller modular groups in genus zero
• On cohomology isomorphisms of groups.
• Galois coverings of moduli spaces of curves and loci of curves with symmetry
• Erratum: On the locus of curves with automorphisms
• Some results about equivariant deformations of stable curves
• Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Séconde partie)
• Abelian quotients of the Teichmüller modular group
• The irreducibility of the space of curves of a given genus
• The tame fundamental groups of a formal neighbourhood of a divisor with normal crossings on a scheme
• ACTION OF A GROTHENDIECK–TEICHMÜLLER GROUP ON TORSION ELEMENTS OF FULL TEICHMÜLLER MODULAR GROUPS OF GENUS ONE
• Champs de Hurwitz
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• Galois rigidity of the étale fundamental groups of punctured projective lines.
• Fields of definition of function fields and hurwitz families — groups as galois groups
• Déformations de courbes avec action de groupe
• Limits of Galois Representations in Fundamental Groups Along Maximal Degeneration of Marked Curves, I
• Algebraic covers: Field of moduli versus field of definition
• Harmonic and equianharmonic equations in the Grothendieck-Teichmüller group
• FUNDAMENTAL GROUPS OF ALGEBRAIC STACKS
• Groupe fondamental des champs algébriques, inertie et action galoisienne
• Boundary behaviour of Hurwitz schemes
• Automorphisms of curves and their role in Grothendieck–Teichmüller theory
• The Nielsen realization problem
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