Braid monodromies on proper curves and pro-ℓ Galois representations

DOI10.1017/S1474748010000241zbMath1279.14037MaRDI QIDQ3112413

Naotake Takao

Publication date: 9 January 2012

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

zbMATH Keywords

monodromyLie algebramapping class groupGalois representationsalgebraic curvebraid groupuniversal monodromy representationpro-\(\ell \) Galois representationproper hyperbolic curve

Mathematics Subject Classification ID

Universal profinite groups (relationship to moduli spaces, projective and moduli towers, Galois theory) (14G32) Coverings of curves, fundamental group (14H30)

Related Items (10)

Hodge theory of the Turaev cobracket and the Kashiwara-Vergne problem ⋮ A pro-\(l\) version of the congruence subgroup problem for mapping class groups of genus one ⋮ Johnson homomorphisms ⋮ On the kernels of the pro-\(l\) outer Galois representations associated to hyperbolic curves over number fields ⋮ Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants ⋮ UNIVERSAL MIXED ELLIPTIC MOTIVES ⋮ On the combinatorial anabelian geometry of nodally nondegenerate outer representations ⋮ Galois rigidity of pro-𝑙 pure braid groups of algebraic curves ⋮ Difference between \(l\)-adic Galois representations and pro-\(l\) outer Galois representations associated to hyperbolic curves ⋮ Galois-theoretic characterization of isomorphism classes of monodromically full hyperbolic curves of genus zero

Cites Work

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• An abelian quotient of the mapping class group \(\mathfrak S\)
• Abelian quotients of subgroups of the mapping class group of surfaces
• Two properties of the filtration of the outer automorphism groups of certain groups
• The stable derivation algebras for higher genera
• On the stable derivation algebra associated with some braid groups
• Some stability properties of Teichmüller modular function fields with pro-\(l\) weight structures
• On graded quotient modules of mapping class groups of surfaces
• Coupling of universal monodromy representations of Galois-Teichmüller modular groups
• On the filtration of topological and pro-\(\ell\) mapping class groups of punctured Riemann surfaces
• On injective homomorphisms for pure braid groups, and associated Lie algebras.
• Groupes et algérbes de Lie
• Galois rigidity of pro-𝑙 pure braid groups of algebraic curves
• Weighted Completion of Galois Groups and Galois Actions on the Fundamental Group of P¹- {0,1, ∞}

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