S. Mochizuki

发表

A stochastic model for the fixing and moving patterns of Bombyx mori in the cocoon construction process

Mikihiko Miura, Masayuki Iwasa, Tatsuya Shimizu, 1999 .

TOPICS IN ABSOLUTE ANABELIAN GEOMETRY III: GLOBAL RECONSTRUCTION ALGORITHMS

S. Mochizuki, 2015 .

Contributions to the Theory of Ehrhart

R. Rosales, Fu Liu, S. Mochizuki, 2006 .

ICM 1998, Berlin, Aug. 18--27 Abstracts of Plenary and Invited Lectures

S. Mochizuki, 2007 .

TOPICS SURROUNDING THE COMBINATORIAL ANABELIAN GEOMETRY OF HYPERBOLIC CUR VES II: TRIPODS AND COMBINATORIAL CUSPIDALIZATION

S. Mochizuki, Yuichiro Hoshi, 2014 .

On the combinatorial cuspidalization of hyperbolic curves

S. Mochizuki, 2010 .

IN ABSOLUTE ANABELIAN GEOMETRY I : GENERALITIES

S. Mochizuki, 2008 .

The Galois-Theoretic Kodaira-Spencer Morphism of an Elliptic Curve

S. Mochizuki, 2011 .

COMMENTS ON THE MAIN THEOREM OF POP-STIX

S. Mochizuki, 2010 .

Categorical representation of locally noetherian log schemes

S. Mochizuki, 2004 .

Plastic Sheath for 2.6/9.5 mm Coaxial Cable

T. Kuwabara, S. Mochizuki, S. Mochizuki, 1984 .

Analysis of the fixed direction of a silkworm body during cocoon construction

M. Miura, H. Morikawa, M. Iwasa, 2000 .

Analysis of the silkworm's shape distribution and serial shape changes in the course of spinning

M. Miura, H. Morikawa, Z. Pan, 1998 .

Absolute anabelian cuspidalizations of proper hyperbolic curves

S. Mochizuki, 2007 .

Topics Surrounding the Anabelian Geometry of Hyperbolic Curves

S. Mochizuki, 2003 .

The local pro-p anabelian geometry of curves

Shinichi Mochizuki, S. Mochizuki, 1999 .

A Theory of Ordinary $p$-Adic Curves

Shinichi Mochizuki, S. Mochizuki, 1996 .

A Version of the Grothendieck Conjecture for p-Adic Local Fields

S. Mochizuki, 1997 .

Topics in Absolute Anabelian Geometry I: Generalities

S. Mochizuki, 2012 .

Combinatorial Construction of the Absolute Galois Group of the Field of Rational Numbers

S. Mochizuki, Yuichiro Hoshi, Shota Tsujimura, 2020 .

Topics surrounding the combinatorial anabelian geometry of hyperbolic curves I: Inertia groups and profinite Dehn twists

S. Mochizuki, Yuichiro Hoshi, 2012 .

TOPICS IN ABSOLUTE ANABELIAN GEOMETRY II: DECOMPOSITION GROUPS AND ENDOMORPHISMS

S. Mochizuki, 2013 .

Inter-universal Teichmüller Theory I: Construction of Hodge Theaters

S. Mochizuki, 2021 .

THE ALGEBRAIC AND ANABELIAN GEOMETRY OF CONFIGURATION SPACES

S. Mochizuki, Akio Tamagawa, 2008 .

The Profinite Grothendieck Conjecture for Closed Hyperbolic Curves over Number Fields

S. Mochizuki, 1996 .

ON THE COMBINATORIAL ANABELIAN GEOMETRY OF NODALLY NONDEGENERATE OUTER REPRESENTATIONS

S. Mochizuki, Yuichiro Hoshi, 2011 .

The Geometry of the Compactification of the Hurwitz Scheme

S. Mochizuki, 1995 .

An introduction to p-adic Teichmüller theory

S. Mochizuki, 2002 .

Development of a Realistic Visualization System of Silkworm Spinning Behaviour Using a Personal Computer and OpenGL

Masaru Nakazawa, Hideaki Morikawa, Mikihiko Miura, 2001 .

Inter-universal Teichmüller Theory IV: Log-Volume Computations and Set-Theoretic Foundations

S. Mochizuki, 2021 .

Extending families of curves over log regular schemes

Shinichi Mochizuki, S. Mochizuki, 1999 .

Semi-graphs of Anabelioids

S. Mochizuki, 2006 .

Bogomolov’s proof of the geometric version of the Szpiro Conjecture from the point of view of inter-universal Teichmüller theory

S. Mochizuki, 2016 .

A panoramic overview of inter-universal Teichmuller theory (Algebraic Number Theory and Related Topics 2012)

S. Mochizuki, 2014 .

The ´ Etale Theta Function and Its Frobenioid-Theoretic Manifestations

S. Mochizuki, 2009 .

THE GEOMETRY OF FROBENIOIDS I: THE GENERAL THEORY

S. Mochizuki, 2008 .

THE GEOMETRY OF FROBENIOIDS II: POLY-FROBENIOIDS

S. Mochizuki, 2008 .

The Geometry of Anabelioids

S. Mochizuki, 2004 .

TOPICS SURROUNDING THE COMBINATORIAL ANABELIAN GEOMETRY OF HYPERBOLIC CURVES IV: DISCRETENESS AND SECTIONS

S. Mochizuki, Yuichiro Hoshi, 2015 .

ON THE VERIFICATION OF INTER-UNIVERSAL TEICHMÜLLER THEORY: A PROGRESS REPORT (AS OF DECEMBER 2013)

S. Mochizuki, 2014 .

ARITHMETIC ELLIPTIC CURVES IN GENERAL POSITION

S. Mochizuki, 2010 .

Noncritical Belyi Maps

S. Mochizuki, 2004 .

A Survey of the Hodge-Arakelov Theory of Elliptic Curves II

S. Mochizuki, 2002 .

A COMBINATORIAL VERSION OF THE GROTHENDIECK CONJECTURE

S. Mochizuki, 2007 .

Fesenko, Ivan (2015) Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta functions, notes on the work of

I. Fesenko, S. Mochizuki, 2016 .

Inter-universal Teichmüller Theory III: Canonical Splittings of the Log-Theta-Lattice

S. Mochizuki, 2021 .

Inter-universal Teichmüller Theory II: Hodge–Arakelov-Theoretic Evaluation

S. Mochizuki, 2021 .

Idealized Version of Fundamental Theorem of Hodge ‐ Arakelov Theory

S. Mochizuki, 2018 .

COMMENTS ON “THE GEOMETRY OF FROBENIOIDS I”

S. Mochizuki, ∈. ObCistr, 2013 .

COMMENTS ON “SEMI-GRAPHS OF ANABELIOIDS”

S. Mochizuki, 2009 .

CONFORMAL AND QUASICONFORMAL CATEGORICAL REPRESENTATION OF HYPERBOLIC RIEMANN SURFACES

S. Mochizuki, 2006 .

The Absolute Anabelian Geometry of Hyperbolic Curves

S. Mochizuki, 2004 .

Group-theoreticity of numerical invariants and distinguished subgroups of configuration space groups

S. Mochizuki, Yuichiro Hoshi, Arata Minamide, 2022, Kodai Mathematical Journal.

ON THE ESSENTIAL LOGICAL STRUCTURE OF INTER-UNIVERSAL TEICHMÜLLER THEORY IN TERMS OF LOGICAL AND “∧”/LOGICAL OR “∨” RELATIONS: REPORT ON THE OCCASION OF THE PUBLICATION OF THE FOUR MAIN PAPERS ON INTER-UNIVERSAL TEICHMÜLLER THEORY

S. Mochizuki, 2021 .

SUMMARY OF LETTERS TO PARTICIPANTS OF THE WORKSHOP ON THE THEORY OF SHINICHI MOCHIZUKI, DECEMBER 7–11 2015, OXFORD

S. Mochizuki, 2016 .

Foundations of $p$-adic Teichmuller Theory

S. Mochizuki, 2014 .

The Absolute Anabelian Geometry of Canonical Curves

S. Mochizuki, 2003 .

ON DISCUSSIONS , HELD DURING THE PERIOD MARCH 15 – 20 , 2018 , CONCERNING INTER-UNIVERSAL TEICHMÜLLER THEORY ( IUTCH )

S. Mochizuki, 2019 .

On Semi-Positivity and Filtered Frobenius Crystals

S. Mochizuki, 1995 .

SEMI-POSITIVITY AND FROBENIUS CRYSTALS On Semi-Positivity and Filtered Frobenius Crystals

S. Mochizuki, 2006 .

On Semi-Posltlvlty and Filtered Frobenlus Crystals

S. Mochizuki, 2005 .

Explicit estimates in inter-universal Teichmüller theory

I. Fesenko, S. Mochizuki, Yuichiro Hoshi, 2022, Kodai Mathematical Journal.

The Hodge-Arakelov Theory of Elliptic Curves : Global Discretization of Local Hodge Theories

S. Mochizuki, 1999 .

Introduction to the abc conjecture

H. Putnam, Martin D. Davis, J. Robinson, 2016 .

GLOBAL SOLVABLY CLOSED ANABELIAN GEOMETRY

S. Mochizuki, 2006 .

The Scheme-Theoretic Theta Convolution

S. Mochizuki, 2004 .

Inter-universal Teichm¨uller Theory Iv: Log-volume Computations and Set-theoretic Foundations Log-volume Computations and Set-theoretic Foundations

S. Mochizuki, 2012 .

TOPICS SURROUNDING THE COMBINATORIAL ANABELIAN GEOMETRY OF HYPERBOLIC CURVES III: TRIPODS AND TEMPERED FUNDAMENTAL GROUPS

S. Mochizuki, Yuichiro Hoshi, 2013 .

The Geometry of the Compactification of the Hurwltz Scheme

S. Mochizuki, 2006 .

ICM 1998, Berlin, Aug. 18--27 Abstracts of Plenary and Invited Lectures

S. Mochizuki, 2007 .

COMMENTS ON THE MANUSCRIPT BY SCHOLZE-STIX CONCERNING INTER-UNIVERSAL TEICHMÜLLER THEORY (IUTCH)

S. Mochizuki, 2018 .