The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields

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概要

• 論文の詳細を見る

• In this paper, we extend the results of [Tama] on the Grothendieck Conjecture for affine hyperbolic curves over finite fields to obtain a Grothendieck Conjecture-type result for singular, proper, stable log-curves over finite fields. Using this result, we derive a strong Grothendieck Conjecture-type result for smooth, proper hyperbolic curves over number fields, and a weak Grothendieck Conjecture-type result for smooth, proper, hyperbolic curves over local fields with ordinary reduction.

• 東京大学の論文
• 1996-00-00

著者

• Mochizuki Shinichi

  Research Institute For Mahematical Sciences Kyoto University

• Mochizuki Shinichi

  Research Institute For Mathematical 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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