中山 昇

Last Update: 2019/06/14 17:09:23

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Name(Kanji/Kana/Abecedarium Latinum)
中山 昇/ナカヤマ ノボル/Nakayama, Noboru
Primary Affiliation(Org1/Job title)
Research Institute for Mathematical Sciences (RIMS)/Associate Professor
Affiliated programs (koza)
Org1 Job title
Graduate Schools Science Associate Professor
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
理学修士 東京大学
理学博士 東京大学
Research Topics
(Japanese)
代数多様体や複素解析的多様体を双有理幾何, 極小モデル理論の観点から研究する
(English)
Studying algebraic varieties and complex analytic varieties via birational geometry and minimal model theory
Overview of the research
(Japanese)
相対的極小モデル理論, Zariski 分解, アバンダンス予想, 楕円ファイバー空間, 種々の曲面の構造, などについていくつかの結果を得た.
(English)
I have shown some results on relative minimal model program, Zariski decomposition, abundance conjecture, elliptic fibration, structures of several surfaces, and so on.
Fields of research (key words)
Key words(Japanese) Key words(English)
代数幾何学 Algebraic Geometry
双有理幾何学 Binational Geometry
極小モデル理論 Minimal model theory
ファイバー空間 Fiber space
Published Papers
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
Y. Lee; N. Nakayama Y. Lee; N. Nakayama Grothendieck duality and Q-Gorenstein morphisms Grothendieck duality and Q-Gorenstein morphisms Publ. RIMS Kyoto Univ, 54, 517-648 , 54, 517-648 Publ. RIMS Kyoto Univ, 54, 517-648 2018/09 Refereed English Research paper(bulletin of university, research institution) Disclose to all
N. Nakayama N. Nakayama A variant of Shokurov's criterion of toric surface A variant of Shokurov's criterion of toric surface Advanced Studies in Pure Mathematics, 75, Algebraic Varieties and Automorphism Groups, 287-392 , 287-392 Advanced Studies in Pure Mathematics, 75, Algebraic Varieties and Automorphism Groups, 287-392 2017 Refereed English Research paper(international conference proceedings) Disclose to all
Y. Lee; N. Nakayama Y. Lee; N. Nakayama Simply connected surfaces of general type in positive characteristic via deformation theory Simply connected surfaces of general type in positive characteristic via deformation theory Proceedings of the London Mathematical Society, 106, 2, 225-286 , 106, 2, 225-286 Proceedings of the London Mathematical Society, 106, 2, 225-286 2013 Refereed English Research paper(scientific journal) Disclose to all
J.-M. Hwang, N. Nakayama J.-M. Hwang, N. Nakayama On endomorphisms of Fano manifolds of Picard number one On endomorphisms of Fano manifolds of Picard number one Pure and Appl. Math.Quarterly, 7, 1407-1426 , 7, 1407-1426 Pure and Appl. Math.Quarterly, 7, 1407-1426 2011 Refereed English Research paper(scientific journal) Disclose to all
N. Nakayama N. Nakayama Separable endomorphisms of surfaces in positive characteristic Separable endomorphisms of surfaces in positive characteristic Adv. Stud, in Pure Math. 60, Algebraic Geometry in East Asia - Seoul 2008, 301-330 , 301-330 Adv. Stud, in Pure Math. 60, Algebraic Geometry in East Asia - Seoul 2008, 301-330 2010 Refereed English Research paper(international conference proceedings) Disclose to all
N. Nakayama; D.-Q. Zhang N. Nakayama; D.-Q. Zhang Polarized endomorphisms of complex normal varieties Polarized endomorphisms of complex normal varieties Mathematische Annalen, 346, 4, 991-1018 , 346, 4, 991-1018 Mathematische Annalen, 346, 4, 991-1018 2010 Refereed English Research paper(scientific journal) Disclose to all
N. Nakayama N. Nakayama Intersection sheaves over normal schemes Intersection sheaves over normal schemes Journal of the Mathematical Society of Japan, 62, 2, 487-595 , 62, 2, 487-595 Journal of the Mathematical Society of Japan, 62, 2, 487-595 2010 Refereed English Research paper(scientific journal) Disclose to all
N. Nakayama; D.-Q. Zhang N. Nakayama; D.-Q. Zhang Building blocks of étale endomorphisms of complex projective manifolds Building blocks of étale endomorphisms of complex projective manifolds Proceedings of the London Mathematical Society, 99, 3, 725-756 , 99, 3, 725-756 Proceedings of the London Mathematical Society, 99, 3, 725-756 2009 Refereed English Research paper(scientific journal) Disclose to all
Y. Fujimoto; N. Nakayama Y. Fujimoto; N. Nakayama Complex projective manifolds which admit non-isomorphic surjective endomorphisms Complex projective manifolds which admit non-isomorphic surjective endomorphisms Higher dimensional algebraic varieties and vector bundles, RIMS Kôkyûroku Bessatsu, B9, 51-79 , 51-79 Higher dimensional algebraic varieties and vector bundles, RIMS Kôkyûroku Bessatsu, B9, 51-79 2008/09 Refereed English Research paper(international conference proceedings) Disclose to all
N. Nakayama N. Nakayama Classification of log del Pezzo surfaces of index two Classification of log del Pezzo surfaces of index two J. Math. Sci. Univ. Tokyo, 14, 293-498 , 14, 293-498 J. Math. Sci. Univ. Tokyo, 14, 293-498 2007 Refereed English Research paper(bulletin of university, research institution) Disclose to all
Y. Fujimoto; N. Nakayama Y. Fujimoto; N. Nakayama Endomorphisms of smooth projective 3-folds with nonnegative Kodaira dimension, II Endomorphisms of smooth projective 3-folds with nonnegative Kodaira dimension, II Journal of Mathematics of Kyoto University, 47, 1, 79-114 , 47, 1, 79-114 Journal of Mathematics of Kyoto University, 47, 1, 79-114 2007 Refereed English Research paper(bulletin of university, research institution) Disclose to all
Y. Fujimoto; N. Nakayama Y. Fujimoto; N. Nakayama Compact complex surfaces admitting non-trivial surjective endomorphisms Compact complex surfaces admitting non-trivial surjective endomorphisms Tohoku Mathematical Journal, 57, 3, 395-426 , 57, 3, 395-426 Tohoku Mathematical Journal, 57, 3, 395-426 2005 Refereed English Research paper(bulletin of university, research institution) Disclose to all
Y. Ishii; N. Nakayama Y. Ishii; N. Nakayama Classification of normal quartic surfaces with irrational singularities Classification of normal quartic surfaces with irrational singularities Journal of the Mathematical Society of Japan, 56, 3, 941-965 , 56, 3, 941-965 Journal of the Mathematical Society of Japan, 56, 3, 941-965 2004 Refereed English Research paper(scientific journal) Disclose to all
N. Nakayama N. Nakayama Local structure of an elliptic fibration Local structure of an elliptic fibration Adv. Stud. Pure Math., 35, Higher Dimensional Birational Geometry, 185-296 , 185-296 Adv. Stud. Pure Math., 35, Higher Dimensional Birational Geometry, 185-296 2002/07 Refereed English Research paper(international conference proceedings) Disclose to all
N. Nakayama N. Nakayama Ruled surfaces with non-trivial surjective endomorphisms Ruled surfaces with non-trivial surjective endomorphisms Kyushu J. Math., 56, 433-446 , 56, 433-446 Kyushu J. Math., 56, 433-446 2002 Refereed English Research paper(bulletin of university, research institution) Disclose to all
N. Nakayama N. Nakayama Global structure of an elliptic fibration Global structure of an elliptic fibration Publications of the Research Institute for Mathematical Sciences, 38, 3, 451-649 , 38, 3, 451-649 Publications of the Research Institute for Mathematical Sciences, 38, 3, 451-649 2002 Refereed English Research paper(bulletin of university, research institution) Disclose to all
N. Nakayama N. Nakayama Protective algebraic varieties whose universal covering spaces are biholomorphic to C<sup>n</sup> Protective algebraic varieties whose universal covering spaces are biholomorphic to C<sup>n</sup> Journal of the Mathematical Society of Japan, 51, 3, 642-654 , 51, 3, 642-654 Journal of the Mathematical Society of Japan, 51, 3, 642-654 1999 Refereed English Research paper(scientific journal) Disclose to all
N. Nakayama N. Nakayama Elliptic fibrations over surfaces I Elliptic fibrations over surfaces I Algebraic Geometry and Analytic Geometry, ICM-90 Satelite Conf. Proc., 126-137 , 126-137 Algebraic Geometry and Analytic Geometry, ICM-90 Satelite Conf. Proc., 126-137 1991 Refereed English Research paper(international conference proceedings) Disclose to all
N. Nakayama N. Nakayama On smooth exceptional curves in threefolds On smooth exceptional curves in threefolds J. Fac. Sci. Univ. Tokyo Sect. IA, 37, 511-525 , 37, 511-525 J. Fac. Sci. Univ. Tokyo Sect. IA, 37, 511-525 1990 Refereed English Research paper(bulletin of university, research institution) Disclose to all
M. Furushima, N. Nakayama M. Furushima, N. Nakayama A new construction of a compactification of C^3 A new construction of a compactification of C^3 Tohoku Math. J., 41, 543-560 , 41, 543-560 Tohoku Math. J., 41, 543-560 1989 Refereed English Research paper(bulletin of university, research institution) Disclose to all
M. Furushima, N. Nakayama M. Furushima, N. Nakayama The family of lines on the Fano threefold V_5 The family of lines on the Fano threefold V_5 Nagoya Math. J., 116, 111-112 , 116, 111-112 Nagoya Math. J., 116, 111-112 1989 Refereed English Research paper(bulletin of university, research institution) Disclose to all
N. Nakayama N. Nakayama On Weierstrass models On Weierstrass models Algebraic Geometry and Commutative Algabra in Honor of M. Nagata, 405-431 , 405-431 Algebraic Geometry and Commutative Algabra in Honor of M. Nagata, 405-431 1988 Refereed English Research paper(other science council materials etc.) Disclose to all
N. Nakayama N. Nakayama The singularity of the canonical model of compact Kähler manifolds The singularity of the canonical model of compact Kähler manifolds Mathematische Annalen, 280, 3, 509-512 , 280, 3, 509-512 Mathematische Annalen, 280, 3, 509-512 1988 Refereed English Research paper(scientific journal) Disclose to all
N. Nakayama N. Nakayama The lower semi-continuity of the plurigenera of complex varieties The lower semi-continuity of the plurigenera of complex varieties Adv. Stud. Pure Math. 10, Algebraic Geometry, Sendai 1985, 551-590 , 551-590 Adv. Stud. Pure Math. 10, Algebraic Geometry, Sendai 1985, 551-590 1987 Refereed English Research paper(international conference proceedings) Disclose to all
N. Nakayama N. Nakayama Invariance of the plurigenera of algebraic varieties under minimal model conjectures Invariance of the plurigenera of algebraic varieties under minimal model conjectures Topology, 25, 2, 237-251 , 25, 2, 237-251 Topology, 25, 2, 237-251 1986 Refereed English Research paper(scientific journal) Disclose to all
N. Nakayama N. Nakayama Hodge filtrations and the higher direct images of canonical sheaves Hodge filtrations and the higher direct images of canonical sheaves Inventiones Mathematicae, 85, 1, 217-221 , 85, 1, 217-221 Inventiones Mathematicae, 85, 1, 217-221 1986 Refereed English Research paper(scientific journal) Disclose to all

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Title language:
Books etc
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Publisher Publisher(Japanese) Publisher(English) Publication date Language Type Disclose
Noboru Nakayama Noboru Nakayama Zariski-decomposition and Abundance Zariski-decomposition and Abundance Math. Soc. Japan Math. Soc. Japan 2004 English Single Work Disclose to all
Title language:
External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
Type Position Title(Japanese) Title(English) Period
基盤研究(C) 種々の代数多様体の具体的構成 2008-2011
基盤研究(C) Representative ある種の正規代数曲面の構造 2018/04/01-2021/03/31
基盤研究(C) Representative ある種の正規代数曲面の構造 (平成30年度分) 2018/04/01-2019/03/31
Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
代数多様体論セミナー研究A Seminar on Algebraic Varieties A 前期 理学研究科 2014/04-2015/03
代数多様体論セミナー研究B Seminar on Algebraic Varieties B 後期 理学研究科 2014/04-2015/03
代数多様体論セミナー研究C Seminar on Algebraic Varieties C 前期 理学研究科 2014/04-2015/03
代数多様体論セミナー研究D Seminar on Algebraic Varieties D 後期 理学研究科 2014/04-2015/03
代数多様体論セミナー研究A Seminar on Algebraic Varieties A 前期 理学研究科 2015/04-2016/03
代数多様体論セミナー研究B Seminar on Algebraic Varieties B 後期 理学研究科 2015/04-2016/03
代数多様体論セミナー研究C Seminar on Algebraic Varieties C 前期 理学研究科 2015/04-2016/03
代数多様体論セミナー研究D Seminar on Algebraic Varieties D 後期 理学研究科 2015/04-2016/03
代数学演義II Exercises in Algebra II 後期 理学部 2015/04-2016/03
代数多様体論セミナー研究A Seminar on Algebraic Varieties A 前期 理学研究科 2016/04-2017/03
代数多様体論セミナー研究B Seminar on Algebraic Varieties B 後期 理学研究科 2016/04-2017/03
代数多様体論セミナー研究C Seminar on Algebraic Varieties C 前期 理学研究科 2016/04-2017/03
代数多様体論セミナー研究D Seminar on Algebraic Varieties D 後期 理学研究科 2016/04-2017/03
代数多様体論セミナー研究A Seminar on Algebraic Varieties A 前期 理学研究科 2017/04-2018/03
代数多様体論セミナー研究B Seminar on Algebraic Varieties B 後期 理学研究科 2017/04-2018/03
代数多様体論セミナー研究C Seminar on Algebraic Varieties C 前期 理学研究科 2017/04-2018/03
代数多様体論セミナー研究D Seminar on Algebraic Varieties D 後期 理学研究科 2017/04-2018/03
代数多様体論セミナー研究a Seminar on Algebraic Varieties a 前期 理学研究科 2018/04-2019/03
代数多様体論セミナー研究b Seminar on Algebraic Varieties b 後期 理学研究科 2018/04-2019/03
代数多様体論セミナー研究c Seminar on Algebraic Varieties c 前期 理学研究科 2018/04-2019/03
代数多様体論セミナー研究d Seminar on Algebraic Varieties d 後期 理学研究科 2018/04-2019/03
代数多様体論セミナー研究a Seminar on Algebraic Varieties a 前期 理学研究科 2019/04-2020/03
代数多様体論セミナー研究b Seminar on Algebraic Varieties b 後期 理学研究科 2019/04-2020/03
代数多様体論セミナー研究c Seminar on Algebraic Varieties c 前期 理学研究科 2019/04-2020/03
代数多様体論セミナー研究d Seminar on Algebraic Varieties d 後期 理学研究科 2019/04-2020/03

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School management (title, position)
Title Period
学生生活委員会 委員 2017/04/01-2019/03/31
学生生活委員会第一小委員会 委員 2017/04/01-2019/03/31
京都大学奨学金返還免除候補者選考委員会 委員 2017/04/01-2019/03/31
Faculty management (title, position)
Title Period
数理解析学系会議 委員 2017/04/01-2018/03/31