Anabelian Geometry for Deligne-Mumford curves

• Material Type: 文書・図像類
• Title: Anabelian Geometry for Deligne-Mumford curves
• Author/Editor: COLLAS, Benjamin; PHILIP, Séverin; YAMAGUCHI, Naganori
• Author Heading: COLLAS, Benjamin; PHILIP, Séverin; YAMAGUCHI, Naganori
• Publication, Distribution, etc.: Research Institute for Mathematical Sciences, Kyoto University
• Publication Date: 2026-05
• Publication Date (W3CDTF): 2026-05
• Pages: 1-36
• Text Language Code: eng
• Subject Heading: 14A20; 14H30; 20E18; 14G32; 20F34; 14H37; Anabelian geometry; Deligne-Mumford curves; stacky curves and orbicurves; profinite groups; étale fundamental group; Fenchel-Nielsen theory; solvable quotients; hyperbolic curves; stack inertia; Grothendieck conjecture
• NDC: 410
• Target Audience: 一般
• Note (General): 出版タイプ： AO; This manuscript is part of the France-Japan AHGT international research network supported by the Research Institute for Mathematical Sciences of Kyoto University and CNRS.
• DOI: 10.14989/301326; https://doi.org/10.14989/301326
• Format (IMT): application/pdf
• Source: RIMS1992.pdf （fulltext）; https://repository.kulib.kyoto-u.ac.jp/bitstreams/8c15ddd0-f492-41b7-b4fc-0b63eb956060/download
• Access Restrictions: インターネット公開
• Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）; https://irdb.nii.ac.jp
• Original Data Provider (Database): 京都大学 : 京都大学学術情報リポジトリ

• Summary, etc.: We develop an anabelian framework for general Deligne -- Mumford curves, showing that their stack and orbifold structures are encoded in the group-the...