The semi-absolute anabelian geometry of geometrically pro-\(p\) arithmetic fundamental groups of associated low-dimensional configuration spaces

DOI10.4171/PRIMS/58-3-5WikidataQ114021397 ScholiaQ114021397MaRDI QIDQ2165821

Kazumi Higashiyama

Publication date: 23 August 2022

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

zbMATH Keywords

configuration spaceanabelian geometryGrothendieck conjecture

Mathematics Subject Classification ID

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

Related Items (2)

Anabelian group-theoretic properties of the absolute Galois groups of discrete valuation fields ⋮ On the semi-absoluteness of isomorphisms between the pro-\(p\) arithmetic fundamental groups of smooth varieties

Cites Work

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• On the combinatorial anabelian geometry of nodally nondegenerate outer representations
• The algebraic and anabelian geometry of configuration spaces
• Logarithmic étale cohomology
• The local pro-p anabelian geometry of curves
• A combinatorial version of the Grothendieck conjecture
• The projectivity of the moduli space of stable curves, II: The stacks $M_{g,n}$
• Galois rigidity of pro-𝑙 pure braid groups of algebraic curves

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