On the combinatorial cuspidalization of hyperbolic curves

zbMath1207.14032MaRDI QIDQ601283

Shinichi Mochizuki

Publication date: 4 November 2010

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1285334471

zbMATH Keywords

fundamental groupcuspidalizationhyperbolic curveanabelian

Mathematics Subject Classification ID

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

Related Items (9)

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 topological and combinatorial structures of pointed stable curves over algebraically closed fields of positive characteristic ⋮ Combinatorial Belyi cuspidalization and arithmetic subquotients of the Grothendieck-Teichmüller group ⋮ On the combinatorial anabelian geometry of nodally nondegenerate outer representations ⋮ Inter-universal Teichmüller theory. I: Construction of Hodge theaters ⋮ Geometric version of the Grothendieck conjecture for universal curves over Hurwitz stacks ⋮ On Monodromically Full Points of Configuration Spaces of Hyperbolic Curves ⋮ Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups

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