Faculty - MORIWAKI Atsushi |

MORIWAKI Atsushi

Department / Course School of General Education Liberal Arts Program (Science and Technology Literacy)

School of General Education

College of Contemporary Education Department of Contemporary Education

Chubu University Academy of Emerging Sciences

Graduate School of Engineering Department of Innovative Energy Science and Engineering

Job Professor

Book and thesis
Books	Arakelov geometry over adelic curves (Co-authored) 2020
Books	Arakelov geometry (Sole-authored) 2014
Papers	Extension property of semipositive invertible sheaves over a non-archimedean field Annali della Scuola Normale Superiore di Pisa XVIII,pp.241-282 2018
Papers	Adelic Divisors on Arithmetic Varieties MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 242 (1144),pp.1-+ 2016/07
Papers	ARITHMETIC POSITIVITY ON TORIC VARIETIES JOURNAL OF ALGEBRAIC GEOMETRY 25 (2),pp.201-272 2016/04
Papers	Toward a geometric analogue of Dirichlet's unit theorem KYOTO JOURNAL OF MATHEMATICS 55 (4),pp.799-817 2015/12
Papers	Algebraic Dynamical Systems and Dirichlet's Unit Theorem on Arithmetic Varieties INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2015 (24),pp.13669-13716 2015
Papers	Semiample invertible sheaves with semipositive continuous hermitian metrics ALGEBRA & NUMBER THEORY 9 (2),pp.503-509 2015
Papers	Numerical characterization of nef arithmetic divisors on arithmetic surfaces Annales de la facult\'{e} des sciences de Toulouse XXIII,pp.717-753 2014
Papers	Toward Dirichlet's unit theorem on arithmetic varieties Kyoto Journal of Mathematics 53 (1),pp.197-259 2013/03
Papers	Arithmetic linear series with base conditions MATHEMATISCHE ZEITSCHRIFT 272 (3-4),pp.1383-1401 2012/12
Papers	Zariski Decompositions on Arithmetic Surfaces PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 48 (4),pp.799-898 2012/12
Papers	Big arithmetic divisors on the projective spaces over ℤ Kyoto Journal of Mathematics 51 (3),pp.503-534 2011/09
Papers	Free Basis Consisting of Strictly Small Sections INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2011 (6),pp.1245-1267 2011
Papers	Estimation of arithmetic linear series Kyoto Journal of Mathematics 50 (4),pp.685-725 2010/12
Papers	CONTINUITY OF VOLUMES ON ARITHMETIC VARIETIES JOURNAL OF ALGEBRAIC GEOMETRY 18 (3),pp.407-457 2009/07
Papers	Continuous Extension of Arithmetic Volumes INTERNATIONAL MATHEMATICS RESEARCH NOTICES (19),pp.3598-3638 2009
Papers	Rigidity of log morphisms PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 44 (2),pp.371-401 2008/05
Papers	Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 48 (1),pp.7-26 2008
Papers	Dominant rational maps in the category of log schemes TOHOKU MATHEMATICAL JOURNAL 59 (4),pp.481-525 2007/12
Papers	On the finiteness of abelian varieties with bounded modular height Moduli spaces and arithmetic geometry, 157–187, Adv. Stud. Pure Math., 45, Math. Soc. Japan, Tokyo 2006
Papers	Diophantine geometry viewed from Arakelov geometry Sugaku Expositions 17, no. 2, 219–234 2004
Papers	The number of algebraic cycles with bounded degree JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 44 (4),pp.819-890 2004
Papers	HEIGHT FUNCTIONS OVER FUNCTION FIELDS (Diophantine Problems and Analytic Number Theory) RIMS Kokyuroku 1319,pp.14-23 2003/05
Papers	Nef divisors in codimension one on the moduli space of stable curves COMPOSITIO MATHEMATICA 132 (2),pp.191-228 2002/06
Papers	Introduction to Arakelov geometry Algebraic geometry in East Asia (Kyoto, 2001), 1–74, World Sci. Publ., River Edge, NJ 2002
Papers	The Q-Picard group of the moduli space of curves in positive characteristic INTERNATIONAL JOURNAL OF MATHEMATICS 12 (5),pp.519-534 2001/07
Papers	A generalization of conjectures of Bogomolov and Lang over finitely generated fields DUKE MATHEMATICAL JOURNAL 107 (1),pp.85-102 2001/03
Papers	Inequalities for semistable families of arithmetic varieties JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 41 (1),pp.97-182 2001/03
Papers	The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 530,pp.33-54 2001/01
Papers	Arithmetic height functions over finitely generated fields INVENTIONES MATHEMATICAE 140 (1),pp.101-142 2000/04
Papers	The continuity of Deligne's pairing INTERNATIONAL MATHEMATICS RESEARCH NOTICES (19),pp.1057-1066 1999
Papers	Relative Bogomolov's inequality and the cone of positive divisors on the moduli space of stable curves JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY 11 (3),pp.569-600 1998/07
Papers	Bogomolov conjecture over function fields for stable curves with only irreducible fibers COMPOSITIO MATHEMATICA 105 (2),pp.125-140 1997/01
Papers	Bogomolov conjecture for curves of genus 2 over function fields JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 36 (4),pp.687-695 1996/12
Papers	Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres MATHEMATISCHE ANNALEN 305 (1),pp.183-190 1996/05
Papers	A sharp slope inequality for general stable fibrations of curves JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 480,pp.177-195 1996
Papers	HODGE INDEX THEOREM FOR ARITHMETIC CYCLES OF CODIMENSION ONE MATHEMATICAL RESEARCH LETTERS 3 (2),pp.173-183 1996
Papers	ARITHMETIC BOGOMOLOV-GIESEKERS INEQUALITY AMERICAN JOURNAL OF MATHEMATICS 117 (5),pp.1325-1347 1995/10
Papers	FALTINGS MODULAR HEIGHT AND SELF-INTERSECTION OF DUALIZING SHEAF MATHEMATISCHE ZEITSCHRIFT 220 (2),pp.273-278 1995/10
Papers	Geometric height inequality on varieties with ample cotangent bundles J. Alg. Geam.,4/,385-391 4,pp.385-396 1995
Papers	REMARKS ON RATIONAL POINTS OF VARIETIES WHOSE COTANGENT BUNDLES ARE GENERATED BY GLOBAL SECTIONS MATHEMATICAL RESEARCH LETTERS 2 (1),pp.113-118 1995
Papers	INEQUALITY OF BOGOMOLOV-GIESEKER TYPE ON ARITHMETIC SURFACES DUKE MATHEMATICAL JOURNAL 74 (3),pp.713-761 1994/06
Papers	BOGOMOLOV UNSTABILITY ON ARITHMETIC SURFACES MATHEMATICAL RESEARCH LETTERS 1 (5),pp.601-611 1994
Papers	Height inequality of non-isotrivial acrves over function fields J. Alg. Geom.,3/,249-263 3,pp.249-263 1994
Papers	FROBENIUS PULL-BACK OF VECTOR-BUNDLES OF RANK-2 OVER NON-UNIRULED VARIETIES MATHEMATISCHE ANNALEN 296 (3),pp.441-451 1993/07
Papers	SEMI-STABLY POLARIZED FIBER SPACES AND BOGOMOLOV-GIESEKER INEQUALITY JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 32 (4),pp.843-872 1992/12
Papers	A CRITERION OF OPENNESS OF A FAMILY OF NEF LINE BUNDLES MANUSCRIPTA MATHEMATICA 75 (3),pp.327-331 1992/06
Papers	A NOTE ON BOGOMOLOV-GIESEKER INEQUALITY IN POSITIVE CHARACTERISTIC DUKE MATHEMATICAL JOURNAL 64 (2),pp.361-375 1991/11
Papers	Semi-ampleness of the numerically effective part of Zariski decomposition, (]G0002[) Algebraic Geometry and Commutative Algebra,1/,289-311 1987
Papers	TORSION FREENESS OF HIGHER DIRECT IMAGES OF CANONICAL BUNDLES MATHEMATISCHE ANNALEN 276 (3),pp.385-398 1987
Papers	SEMI-AMPLENESS OF THE NUMERICALLY EFFECTIVE PART OF ZARISKI DECOMPOSITION JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 26 (3),pp.465-481 1986/10
Papers	RELATIVE ZARISKI DECOMPOSITION ON HIGHER DIMENSIONAL ALGEBRAIC-VARIETIES PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 62 (3),pp.108-111 1986/03