教員情報 - 森脇　淳

モリワキアツシ MORIWAKI Atsushi
森脇　淳

所属人間力創成教育院教養課題教育プログラム（科学技術リテラシー）

人間力創成教育院

現代教育学部現代教育学科

創発学術院

大学院工学研究科創造エネルギー理工学専攻

職名教授

著書・論文歴
著書	Arakelov geometry over adelic curves (共著) 2020
著書	モーデル・ファルティングスの定理ディオファントス幾何からの完全証明 (共著) 2017/04
著書	Arakelov geometry (単著) 2014
著書	アラケロフ幾何 (単著) 2008
論文	Extension property of semipositive invertible sheaves over a non-archimedean field Annali della Scuola Normale Superiore di Pisa XVIII,241-282頁 2018
論文	Adelic Divisors on Arithmetic Varieties MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY 242 (1144),1-+頁 2016/07
論文	ARITHMETIC POSITIVITY ON TORIC VARIETIES JOURNAL OF ALGEBRAIC GEOMETRY 25 (2),201-272頁 2016/04
論文	Toward a geometric analogue of Dirichlet's unit theorem KYOTO JOURNAL OF MATHEMATICS 55 (4),799-817頁 2015/12
論文	Algebraic Dynamical Systems and Dirichlet's Unit Theorem on Arithmetic Varieties INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2015 (24),13669-13716頁 2015
論文	Semiample invertible sheaves with semipositive continuous hermitian metrics ALGEBRA & NUMBER THEORY 9 (2),503-509頁 2015
論文	Numerical characterization of nef arithmetic divisors on arithmetic surfaces Annales de la facult\'{e} des sciences de Toulouse XXIII,717-753頁 2014
論文	Toward Dirichlet's unit theorem on arithmetic varieties Kyoto Journal of Mathematics 53 (1),197-259頁 2013/03
論文	Arithmetic linear series with base conditions MATHEMATISCHE ZEITSCHRIFT 272 (3-4),1383-1401頁 2012/12
論文	Zariski Decompositions on Arithmetic Surfaces PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 48 (4),799-898頁 2012/12
論文	Big arithmetic divisors on the projective spaces over ℤ Kyoto Journal of Mathematics 51 (3),503-534頁 2011/09
論文	Free Basis Consisting of Strictly Small Sections INTERNATIONAL MATHEMATICS RESEARCH NOTICES 2011 (6),1245-1267頁 2011
論文	Estimation of arithmetic linear series Kyoto Journal of Mathematics 50 (4),685-725頁 2010/12
論文	CONTINUITY OF VOLUMES ON ARITHMETIC VARIETIES JOURNAL OF ALGEBRAIC GEOMETRY 18 (3),407-457頁 2009/07
論文	Continuous Extension of Arithmetic Volumes INTERNATIONAL MATHEMATICS RESEARCH NOTICES (19),3598-3638頁 2009
論文	Rigidity of log morphisms PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 44 (2),371-401頁 2008/05
論文	Subsheaves of a hermitian torsion free coherent sheaf on an arithmetic variety JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 48 (1),7-26頁 2008
論文	Dominant rational maps in the category of log schemes TOHOKU MATHEMATICAL JOURNAL 59 (4),481-525頁 2007/12
論文	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
論文	Diophantine geometry viewed from Arakelov geometry Sugaku Expositions 17, no. 2, 219–234 2004
論文	The number of algebraic cycles with bounded degree JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 44 (4),819-890頁 2004
論文	HEIGHT FUNCTIONS OVER FUNCTION FIELDS (Diophantine Problems and Analytic Number Theory) RIMS Kokyuroku 1319,14-23頁 2003/05
論文	Nef divisors in codimension one on the moduli space of stable curves COMPOSITIO MATHEMATICA 132 (2),191-228頁 2002/06
論文	Introduction to Arakelov geometry Algebraic geometry in East Asia (Kyoto, 2001), 1–74, World Sci. Publ., River Edge, NJ 2002
論文	The Q-Picard group of the moduli space of curves in positive characteristic INTERNATIONAL JOURNAL OF MATHEMATICS 12 (5),519-534頁 2001/07
論文	A generalization of conjectures of Bogomolov and Lang over finitely generated fields DUKE MATHEMATICAL JOURNAL 107 (1),85-102頁 2001/03
論文	Inequalities for semistable families of arithmetic varieties JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 41 (1),97-182頁 2001/03
論文	The canonical arithmetic height of subvarieties of an abelian variety over a finitely generated field JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 530,33-54頁 2001/01
論文	Arithmetic height functions over finitely generated fields INVENTIONES MATHEMATICAE 140 (1),101-142頁 2000/04
論文	The continuity of Deligne's pairing INTERNATIONAL MATHEMATICS RESEARCH NOTICES (19),1057-1066頁 1999
論文	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),569-600頁 1998/07
論文	Bogomolov conjecture over function fields for stable curves with only irreducible fibers COMPOSITIO MATHEMATICA 105 (2),125-140頁 1997/01
論文	Bogomolov conjecture for curves of genus 2 over function fields JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 36 (4),687-695頁 1996/12
論文	Lower bound of self-intersection of dualizing sheaves on arithmetic surfaces with reducible fibres MATHEMATISCHE ANNALEN 305 (1),183-190頁 1996/05
論文	A sharp slope inequality for general stable fibrations of curves JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK 480,177-195頁 1996
論文	HODGE INDEX THEOREM FOR ARITHMETIC CYCLES OF CODIMENSION ONE MATHEMATICAL RESEARCH LETTERS 3 (2),173-183頁 1996
論文	ARITHMETIC BOGOMOLOV-GIESEKERS INEQUALITY AMERICAN JOURNAL OF MATHEMATICS 117 (5),1325-1347頁 1995/10
論文	FALTINGS MODULAR HEIGHT AND SELF-INTERSECTION OF DUALIZING SHEAF MATHEMATISCHE ZEITSCHRIFT 220 (2),273-278頁 1995/10
論文	Geometric height inequality on varieties with ample cotangent bundles J. Alg. Geam.,4/,385-391 4,385-396頁 1995
論文	REMARKS ON RATIONAL POINTS OF VARIETIES WHOSE COTANGENT BUNDLES ARE GENERATED BY GLOBAL SECTIONS MATHEMATICAL RESEARCH LETTERS 2 (1),113-118頁 1995
論文	INEQUALITY OF BOGOMOLOV-GIESEKER TYPE ON ARITHMETIC SURFACES DUKE MATHEMATICAL JOURNAL 74 (3),713-761頁 1994/06
論文	BOGOMOLOV UNSTABILITY ON ARITHMETIC SURFACES MATHEMATICAL RESEARCH LETTERS 1 (5),601-611頁 1994
論文	Height inequality of non-isotrivial acrves over function fields J. Alg. Geom.,3/,249-263 3,249-263頁 1994
論文	FROBENIUS PULL-BACK OF VECTOR-BUNDLES OF RANK-2 OVER NON-UNIRULED VARIETIES MATHEMATISCHE ANNALEN 296 (3),441-451頁 1993/07
論文	SEMI-STABLY POLARIZED FIBER SPACES AND BOGOMOLOV-GIESEKER INEQUALITY JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 32 (4),843-872頁 1992/12
論文	A CRITERION OF OPENNESS OF A FAMILY OF NEF LINE BUNDLES MANUSCRIPTA MATHEMATICA 75 (3),327-331頁 1992/06
論文	A NOTE ON BOGOMOLOV-GIESEKER INEQUALITY IN POSITIVE CHARACTERISTIC DUKE MATHEMATICAL JOURNAL 64 (2),361-375頁 1991/11
論文	Semi-ampleness of the numerically effective part of Zariski decomposition, (]G0002[) Algebraic Geometry and Commutative Algebra,1/,289-311 1987
論文	TORSION FREENESS OF HIGHER DIRECT IMAGES OF CANONICAL BUNDLES MATHEMATISCHE ANNALEN 276 (3),385-398頁 1987
論文	SEMI-AMPLENESS OF THE NUMERICALLY EFFECTIVE PART OF ZARISKI DECOMPOSITION JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY 26 (3),465-481頁 1986/10
論文	RELATIVE ZARISKI DECOMPOSITION ON HIGHER DIMENSIONAL ALGEBRAIC-VARIETIES PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 62 (3),108-111頁 1986/03