MORIWAKI Atsushi

J-GLOBAL         Last updated: Jun 17, 2019 at 11:17
 
Avatar
Name
MORIWAKI Atsushi
Affiliation
Kyoto University
Section
Graduate School of Science, Division of Mathematics
Degree
Doctor of Science

Research Interests

 
 

Research Areas

 
 

Published Papers

 
Extension property of semipositive invertible sheaves over a non-archimedean field
MORIWAKI Atsushi
Annali della Scuola Normale Superiore di Pisa   XVIII 241-282   2018   [Refereed]
José Ignacio Burgos Gil, Atsushi Moriwaki, Patrice Philippon and Mart{í}n~Sombra
Journal of Algebraic Geometry   25 201-272   2016   [Refereed]
MORIWAKI Atsushi
Memoirs of the American Mathematical Society   242(1144) 1-122   2016   [Refereed]
Huayi Chen and Atsushi Moriwaki
Int. Math. Res. Notices   2015 13669-13716   2015   [Refereed]
MORIWAKI Atsushi
Algebra & Number Theory   9 503-509   2015   [Refereed]
MORIWAKI Atsushi
Kyoto J. of Math.   55 799-817   2015   [Refereed]
Numerical characterization of nef arithmetic divisors on arithmetic surfaces
MORIWAKI Atsushi
Annales de la faculté des sciences de Toulouse   XXIII 717-753   2014   [Refereed][Invited]
A. Moriwaki
Kyoto Journal of Mathematics   53(1) 197-259   2013   [Refereed]
A. Moriwaki
Publications of the Research Institute for Mathematical Sciences   48(4) 799-898   Dec 2012   [Refereed]
A. Moriwaki
Mathematische Zeitschrift   272(3-4) 1383-1401   Dec 2012   [Refereed]
A. Moriwaki
Kyoto Journal of Mathematics   51(3) 503-534   2011   [Refereed]
A. Moriwaki
International Mathematics Research Notices   2011(6) 1245-1267   2011   [Refereed]
A. Moriwaki
Kyoto Journal of Mathematics   50(4) 685-725   2010   [Refereed]
Continuity of volumes on arithmetic varieties
A. Moriwaki
Journal of Algebraic Geometry   18(3) 407-457   Jul 2009   [Refereed]
A. Moriwaki
International Mathematics Research Notices   (19) 3598-3638   2009   [Refereed]
A. Moriwaki
Publications of the Research Institute for Mathematical Sciences   44(2) 371-401   May 2008   [Refereed]
Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety
A. Moriwaki
Journal of Mathematics of Kyoto University   48(1) 7-26   2008   [Refereed]
I. Iwanari; A. Moriwaki
Tohoku Mathematical Journal   59(4) 481-525   Dec 2007   [Refereed]
On the finiteness of abelian varieties with bounded modular height
森脇 淳
Moduli spaces and arithmetic geometry, 157–187, Adv. Stud. Pure Math., 45, Math. Soc. Japan, Tokyo      2006   [Refereed]
The number of algebraic cycles with bounded degree
A. Moriwaki
Journal of Mathematics of Kyoto University   44(4) 819-890   2004   [Refereed]
A. Moriwaki
Compositio Mathematica   132(2) 191-228   Jun 2002   [Refereed]
A. Moriwaki
International Journal of Mathematics   12(5) 519-534   Jul 2001   [Refereed]
A. Moriwaki
Duke Mathematical Journal   107(1) 85-102   Mar 2001   [Refereed]
Inequalities for semistable families of arithmetic varieties
S. Kawaguchi; A. Moriwaki
Journal of Mathematics of Kyoto University   41(1) 97-182   Mar 2001   [Refereed]
The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field
A. Moriwaki
Journal fur die Reine und Angewandte Mathematik   530 33-54   Jan 2001   [Refereed]
A. Moriwaki
Inventiones Mathematicae   140(1) 101-142   Apr 2000   [Refereed]
The Continuity of Deligne\ś Pairing
A. Moriwaki
International Mathematics Research Notices   (19) 1057-1066   1999   [Refereed]
A. Moriwaki
Journal of the American Mathematical Society   11(3) 569-600   Jul 1998   [Refereed]
A. Moriwaki
Compositio Mathematica   105(2) 125-140   Jan 1997   [Refereed]
Bogomolov conjecture for curves of genus 2 over function fields
A. Moriwaki
Journal of Mathematics of Kyoto University   36(4) 687-695   Dec 1996   [Refereed]
A. Moriwaki
Mathematische Annalen   305(1) 183-190   May 1996   [Refereed]
A sharp slope inequality for general stable fibrations of curves
A. Moriwaki
Journal fur die Reine und Angewandte Mathematik   480 177-195   1996   [Refereed]
Hodge index theorem for arithmetic cycles of codimension one
A. Moriwaki
Mathematical Research Letters   3(2) 173-183   1996   [Refereed]
A. Moriwaki
Mathematische Zeitschrift   220(2) 273-278   Oct 1995   [Refereed]
MORIWAKI, A
AMERICAN JOURNAL OF MATHEMATICS   117(5) 1325-1347   Oct 1995   [Refereed]
Geometric height inequality on varieties with ample cotangent bundles
森脇 淳
J. Alg. Geam.,4/,385-391      1995   [Refereed]
Remarks on rational points of varieties whose cotansent bundles are generated by global sectons.
森脇 淳
Math. Research Letters,2/,113-118      1995   [Refereed]
MORIWAKI, A
DUKE MATHEMATICAL JOURNAL   74(3) 713-761   Jun 1994   [Refereed]
Bogomolov unstability on arithmetic surfaces
森脇 淳
Math. Research Letters,1/,601-611      1994   [Refereed]
Height inequality of non-isotrivial acrves over function fields
森脇 淳
J. Alg. Geom.,3/,249-263      1994   [Refereed]
A. Moriwaki
Mathematische Annalen   296(3) 441-451   Jul 1993   [Refereed]
SEMI-STABLY POLARIZED FIBER SPACES AND BOGOMOLOV-GIESEKER INEQUALITY
MORIWAKI, A
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY   32(4) 843-872   Dec 1992   [Refereed]
A. Moriwaki
Manuscripta Mathematica   75(3) 327-331   Jun 1992   [Refereed]
MORIWAKI, A
DUKE MATHEMATICAL JOURNAL   64(2) 361-375   Nov 1991   [Refereed]
A. Moriwaki
Mathematische Annalen   276(3) 385-398   1987   [Refereed]
Semi-ampleness of the numerically effective part of Zariski decomposition, (]G0002[)
森脇 淳
Algebraic Geometry and Commutative Algebra,1/,289-311      1987   [Refereed]
SEMI-AMPLENESS OF THE NUMERICALLY EFFECTIVE PART OF ZARISKI DECOMPOSITION
MORIWAKI, A
JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY   26(3) 465-481   Oct 1986   [Refereed]

Misc

 
RELATIVE ZARISKI DECOMPOSITION ON HIGHER DIMENSIONAL ALGEBRAIC-VARIETIES
MORIWAKI, A
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES   62(3) 108-111   Mar 1986   [Refereed]
Introduction to Arakelov geometry
川口周,森脇淳,山木壱彦
Algebraic geometry in East Asia (Kyoto, 2001), 1–74, World Sci. Publ., River Edge, NJ      2002   [Refereed]
Diophantine geometry viewed from Arakelov geometry
森脇 淳
Sugaku Expositions 17, no. 2, 219–234      2004   [Refereed]

Books etc

 
Arakelov geometry
MORIWAKI Atsushi
American Mathematical Society   2014   

Conference Activities & Talks

 
Extension property for non-reduced schemes [Invited]
MORIWAKI Atsushi
Groupe d’Etude sur les Problèmes Diophantiens   6 Feb 2018   
Dirichlet property and dynamical systems [Invited]
MORIWAKI Atsushi
Newton-Okounkov Bodies, Test Configurations, and Diophantine Geometry   7 Sep 2017   
Sufficient conditions for the Dirichlet property [Invited]
MORIWAKI Atsushi
Intercity Seminar on Arakelov Theory 2017   4 Sep 2017   
Zariski decompositions on arithmetic varieties [Invited]
MORIWAKI Atsushi
Corps d'Okounkov   18 Mar 2016   
Semiample invertible sheaves with semipositive continuous hermitian metrics [Invited]
MORIWAKI Atsushi
Distribution of Rational and Holomorphic Curves in Algebraic Varieties   19 Mar 2015   
Towards Dirichlet’s unit theorem on arithmetic varieties — Adelic case — [Invited]
MORIWAKI Atsushi
Explicit formulae and Arakelov geometry   20 Sep 2014   
Dirichlet property on algebraic varieties [Invited]
MORIWAKI Atsushi
New Development in Algebraic Geometry   1 Sep 2014   
Birational Arakelov Geometry,
MORIWAKI Atsushi
Scientific activities of the Franco-Chinese Workshop on Stability   5 Jun 2014   
Towards Dirichlet’s unit theorem on arithmetic varieties — adelic case — [Invited]
MORIWAKI Atsushi
Classification of Algebraic Varieties and Related Topics   20 Sep 2013   
Birational Arakelov geometry
Torsion of Abelian Schemes and Rational Points on Moduli Spaces   26 Jan 2010   Institut de Mathématiques de Bordeaux
Zariski decomposition on arithmetic surfaces
Arakelov Theory and its Arithmetic Applications   25 Feb 2010   Universitat Regensburg
Impossibility of Zariski decompositions on arithmetic varieties
Heights in Diophantine and Arakelov Geometry, Dynamical Systems and Computer Algebra   30 Apr 2011   Universitat de Barcelona
Toward Dirichlet's unit theorem on arithmetic varieties
Sino-France Summer Institute on Arithmetic Geometry   15 Jul 2011   Chern Institute of Mathematics (Nankai University
Dirichlet's unit theorem on arithmetic toric varieties
Kyoto-Paris-Barcelona Seminar on Arakelov Geometry   7 Sep 2011   Universitat de Barcelona
Generalized Hodge index theorem on arithmetic varieties
Arakelov Geometry and K-theory   21 May 2012   University of Toulouse
Characterization of nef arithmetic divisors on arithmetic surfaces
Interactions of Birational Geometry with other fields   3 Jul 2012   University of Durham
Adelic divisors on arithmetic varieties
Rational points, Rational curves and Entire Holomorphic Curves on Algebraic Varieties   25 Jun 2013   Centre de Recherches Mathematiques

Research Grants & Projects

 
Rational points on algebraic vavieties