Anabelian geometry of certain types of hyperbolic polycurves

DOI10.1016/j.jalgebra.2022.04.005zbMath1498.14079OpenAlexW4224248540WikidataQ115571721 ScholiaQ115571721MaRDI QIDQ2136916

Naotake Takao

Publication date: 16 May 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2022.04.005

zbMATH Keywords

configuration spacemoduli space of curvesanabelian geometryGrothendieck conjecturehyperbolic polycurve

Mathematics Subject Classification ID

Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30)

Cites Work

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• Anabelian geometry with étale homotopy types
• The absolute anabelian geometry of quasi-tripods
• The algebraic and anabelian geometry of configuration spaces
• Subgroups of free profinite groups and large subfields of Q
• The Grothendieck conjecture for the moduli spaces of hyperbolic curves of genus one
• The local pro-p anabelian geometry of curves
• Subgroups of profinite surface groups.
• GALOIS RIGIDITY OF ALGEBRAIC MAPPINGS INTO SOME HYPERBOLIC VARIETIES
• The ring of algebraic correspondences on a generic curve of genus g
• NORMAL SUBGROUPS OF FREE PROFINITE GROUPS

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