Pro-\(p\) Grothendieck conjecture for hyperbolic polycurves

DOI10.4171/PRIMS/54-4-3zbMath1439.14101OpenAlexW2896433326WikidataQ123265967 ScholiaQ123265967MaRDI QIDQ1626591

Koichiro Sawada

Publication date: 21 November 2018

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/prims/54-4-3

zbMATH Keywords

hyperbolic polycurvepro-\(p\) Grothendieck conjecture

Mathematics Subject Classification ID

Arithmetic ground fields for curves (14H25) Families, moduli of curves (algebraic) (14H10) Coverings of curves, fundamental group (14H30)

Related Items (3)

Cohomology of the geometric fundamental group of hyperbolic polycurves ⋮ Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants ⋮ Topics in the Grothendieck conjecture for hyperbolic polycurves of dimension \(2\)

Cites Work

• The algebraic and anabelian geometry of configuration spaces
• Exactness properties of profinite completion functors
• The local pro-p anabelian geometry of curves
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