欧文学術雑誌の論文等


数論幾何一般

[1] The Geometry of the Compactification of the Hurwitz Scheme. PDF

[2] On Semi-Positivity and Filtered Frobenius Crystals. PDF

[3] Correspondences on Hyperbolic Curves. PDF

[4] Extending Families of Curves over Log Regular Schemes. PDF

[5] Noncritical Belyi Maps. PDF

[6] Arithmetic Elliptic Curves in General Position. PDF NEW !! (2009-02-17) Comments NEW !! (2014-07-28)


内在的Hodge理論

[1] The Intrinsic Hodge Theory of p-adic Hyperbolic Curves (ICM 98). PDF

[2] The intrinsic Hodge theory of hyperbolic curves (Seoul 1998). PDF

[3] The intrinsic Hodge theory of p-adic hyperbolic curves (Nara 1998). PDF


p進Teichmuller理論

[1] A Theory of Ordinary p-adic Curves. PDF Comments NEW !! (2011-07-15)

[2] Foundations of p-adic Teichmuller Theory. Comments NEW !! (2008-04-09)

[3] An Introduction to p-adic Teichmuller Theory. PDF


遠アーベル幾何、圏の幾何

[1] The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields. PDF Comments NEW !! (2012-12-20)

[2] A Version of the Grothendieck Conjecture for p-adic Local Fields. PDF

[3] The Local Pro-p Anabelian Geometry of Curves. PDF

[4] The Grothendieck conjecture on the fundamental groups of algebraic curves. PDF

[5] The Absolute Anabelian Geometry of Hyperbolic Curves. PDF Comments NEW!! (2013-05-24)

[6] The Absolute Anabelian Geometry of Canonical Curves. PDF Comments NEW !! (2012-06-18)

[7] Topics Surrounding the Anabelian Geometry of Hyperbolic Curves. PDF

[8] The Geometry of Anabelioids. PDF Comments NEW !! (2012-12-20)

[9] Categorical representation of locally noetherian log schemes. PDF Comments NEW !! (2014-10-30)

[10] Categories of log schemes with archimedean structures. PDF PDF (LaTeX Version) Comments NEW !! (2014-10-30)

[11] Semi-graphs of Anabelioids. PDF Comments NEW !! (2012-12-20)

[12] Galois Sections in Absolute Anabelian Geometry. PDF Comments NEW !! (2014-08-09)

[13] A Combinatorial Version of the Grothendieck Conjecture. PDF NEW !! (2007-04-06) Comments NEW !! (2013-04-12)

[14] Conformal and Quasiconformal Categorical Representation of Hyperbolic Riemann Surfaces. PDF NEW !!
   (2006-08-25)


[15] Absolute Anabelian Cuspidalizations of Proper Hyperbolic Curves. PDF PDF (LaTeX Version) NEW !!
   (2007-06-06)
Comments NEW !! (2014-02-20)

[16] The Geometry of Frobenioids I: The General Theory. PDF NEW !! (2008-06-11) Comments NEW !! (2013-11-21)

[17] The Geometry of Frobenioids II: Poly-Frobenioids. PDF NEW !! (2008-06-11) Comments NEW !! (2012-12-20)

[18] Global Solvably Closed Anabelian Geometry. PDF PDF (LaTeX Version) NEW !! (2006-07-14)

[19] The Etale Theta Function and its Frobenioid-theoretic Manifestations. PDF NEW !! (2008-12-12) Comments NEW !!
   (2014-12-22)


[20] The Algebraic and Anabelian Geometry of Configuration Spaces. PDF Comments NEW !! (2014-02-20)
   Comments on strongly torsion-free groups NEW !! (2009-02-25)

[21] Topics in Absolute Anabelian Geometry I: Generalities. PDF NEW !! (2012-03-14)

[22] Topics in Absolute Anabelian Geometry II: Decomposition Groups and Endomorphisms. PDF NEW !! (2013-10-08)
   Comments NEW !! (2014-08-09)

[23] Topics in Absolute Anabelian Geometry III: Global Reconstruction Algorithms. PDF NEW !! (2014-11-21)

[24] On the Combinatorial Cuspidalization of Hyperbolic Curves. PDF Comments NEW !! (2011-04-01)

[25] On the Combinatorial Anabelian Geometry of Nodally Nondegenerate Outer Representations. PDF NEW !! (2011-12-22)
   Comments NEW !! (2012-10-25)

[26] Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves I: Inertia Groups and
   Profinite Dehn Twists. PDF NEW !! (2012-08-30) Comments NEW !! (2013-05-12)

[27] Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves II: Tripods and
   Combinatorial Cuspidalization. PDF NEW !! (2014-06-14)

[28] Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves III: Tripods and
   Tempered Fundamental Groups. PDF NEW !! (2013-02-20)

[29] Topics Surrounding the Combinatorial Anabelian Geometry of Hyperbolic Curves IV: Discreteness and
   Sections. PDF NEW !! (2014-07-31)

[30] Monomorphisms in Categories of Log Schemes. PDF NEW !! (2014-11-24)


楕円曲線のHodge-Arakelov理論

[1] The Hodge-Arakelov Theory of Elliptic Curves: Global Discretization of Local Hodge Theories. PDF

[2] The Scheme-Theoretic Theta Convolution. PDF

[3] Connections and Related Integral Structures on the Universal Extension of an Elliptic Curve. PDF

[4] The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve. PDF

[5] The Hodge-Arakelov Theory of Elliptic Curves in Positive Characteristic. PDF

[6] A Survey of the Hodge-Arakelov Theory of Elliptic Curves I. PDF Comments NEW !! (2012-10-18)

[7] A Survey of the Hodge-Arakelov Theory of Elliptic Curves II. PDF Comments NEW !! (2012-10-18)

[8] Anabelian Geometry in the Hodge-Arakelov Theory of Elliptic Curves. PDF


宇宙際Teichmuller理論

[1] Inter-universal Teichmuller Theory I: Construction of Hodge Theaters. PDF NEW !! (2014-12-22)

[2] Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic Evaluation. PDF NEW !! (2014-12-22)

[3] Inter-universal Teichmuller Theory III: Canonical Splittings of the Log-theta-lattice. PDF NEW !! (2014-11-21)

[4] Inter-universal Teichmuller Theory IV: Log-volume Computations and Set-theoretic Foundations. PDF
  NEW !! (2014-12-22)

[5] A Panoramic Overview of Inter-universal Teichmuller Theory. PDF NEW !! (2013-08-20) Comments NEW !! (2014-12-22)


                           和文雑誌の論文

[1] 代数曲線の基本群に関するGrothendieck予想. PDF

[2] 基本群に映る双曲的代数曲線の構造. PDF

[3] 代数曲線に関するGrothendieck予想 --- p進幾何の視点から. PDF

[4] 連載ICM 98、部門別報告:整数論と数論幾何I. PDF

[5] モチーフ --- 代数多様体の数論的骨格 ---. PDF

[6] 多項式の解の近似がとりもつ数論と幾何の関係 (1), (2), (3), (4). PDF


                     講演のアブストラクト・レクチャーノート

[1] 実複素多様体のセクション予想と測地線の幾何. PDF

[2] p進Teichmuller理論. PDF

[3] Anabelioidの幾何学. PDF

[4] Anabelioidの幾何学とTeichmuller理論. PDF

[5] 離散付値環のalmost etale extensions(学生用のノート). PDF

[6] 数体と位相曲面に共通する「二次元の群論的幾何」(2012年8月の公開講座). PDF



望月新一の論文

論文リスト