Absolute anabelian cuspidalizations of configuration spaces of proper hyperbolic curves over finite fields

DOI10.2977/PRIMS/1249478963zbMath1202.14027OpenAlexW1963577721MaRDI QIDQ1035843

Yuichiro Hoshi

Publication date: 4 November 2009

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/10.2977/prims/1249478963

zbMATH Keywords

cuspidalizationanabelian geometryetale fundamental group

Mathematics Subject Classification ID

Coverings of curves, fundamental group (14H30)

Related Items (7)

On the cuspidalization problem for hyperbolic curves over finite fields ⋮ A pro-\(l\) version of the congruence subgroup problem for mapping class groups of genus one ⋮ On the combinatorial cuspidalization of hyperbolic curves ⋮ Galois-theoretic characterization of geometric isomorphism classes of quasi-monodromically full hyperbolic curves with small numerical invariants ⋮ The geometry of hyperbolic curvoids ⋮ On the combinatorial anabelian geometry of nodally nondegenerate outer representations ⋮ On Monodromically Full Points of Configuration Spaces of Hyperbolic Curves

Cites Work

• The exactness of the log homotopy sequence
• Exactness properties of profinite completion functors
• On the filtration of topological and pro-\(\ell\) mapping class groups of punctured Riemann surfaces

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