A combinatorial version of the Grothendieck conjecture

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概要

• 論文の詳細を見る

• We study the "combinatorial anabelian geometry" that governs the relationship between the dual semi-graph of a pointed stable curve and various associated profinite fundamental groups of the pointed stable curve. Although many results of this type have been obtained previously in various particular situations of interest under unnecessarily strong hypotheses, the goal of the present paper is to step back from such "typical situations of interest" and instead to consider this topic in the abstract -- a point of view which allows one to prove results of this type in much greater generality under very weak hypotheses.

• 東北大学の論文

著者

• Mochizuki Shinichi

  Research Institute For Mahematical Sciences Kyoto University

関連論文

• The Etale Theta Function and Its Frobenioid-Theoretic Manifestations
• The Geometry of Anabelioids
• Conformal and quasiconformal categorical representation of hyperbolic Riemann surfaces
• The Geometry of the Compactification of the Hurwitz Scheme
• On Semi-Positivity and Filtered Frobenius Crystals
• A combinatorial version of the Grothendieck conjecture
• Semi-graphs of Anabelioids
• A Theory of Ordinary $p$-Adic Curves
• The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields

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