Galois rigidity of pro-𝑙 pure braid groups of algebraic curves

DOI10.1090/S0002-9947-98-02038-8zbMath0927.14008OpenAlexW1855885578MaRDI QIDQ4382956

Hiroaki Nakamura, Naotake Takao

Publication date: 24 March 1998

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-98-02038-8

zbMATH Keywords

Galois representationgraded Lie algebrasbraid groupanabelian geometrygroups of graded automorphismspro-\(l\) fundamental groups

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Braid groups; Artin groups (20F36) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Coverings in algebraic geometry (14E20)

Related Items (7)

Homotopic and geometric Galois theory. Abstracts from the workshop held March 7--13, 2021 (online meeting) ⋮ The semi-absolute anabelian geometry of geometrically pro-\(p\) arithmetic fundamental groups of associated low-dimensional configuration spaces ⋮ The stable derivation algebras for higher genera ⋮ Braids on surfaces and finite type invariants. ⋮ Braid monodromies on proper curves and pro-ℓ Galois representations ⋮ On Monodromically Full Points of Configuration Spaces of Hyperbolic Curves ⋮ Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups

Cites Work

• On galois automorphisms of the fundamental group of the projective line minus three points
• Pro-\(l\) pure braid groups of Riemann surfaces and Galois representations
• Nilpotent 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
• Rational homotopy theory
• Homotopy limits, completions and localizations
• Braid monodromies on proper curves and pro-ℓ Galois representations
• GALOIS RIGIDITY OF ALGEBRAIC MAPPINGS INTO SOME HYPERBOLIC VARIETIES
• On Infinite Soluble Groups (II)
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