川北 真之

Last Update: 2021/06/24 09:30:36

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Name(Kanji/Kana/Abecedarium Latinum)
川北 真之/カワキタ マサユキ/Kawakita, Masayuki
Primary Affiliation(Org1/Job title)
Research Institute for Mathematical Sciences (RIMS)/Associate Professor
Affiliated programs (koza)
Org1 Job title
Graduate Schools Science Associate Professor
Contact Address
Type Address(Japanese) Address(English)
Office
Phone
Type Number
Office
Academic Degree
Field(Japanese) Field(English) University(Japanese) University(English) Method
修士(数理科学) 東京大学
博士(数理科学) 東京大学
researchmap URL
https://researchmap.jp/read0123907
Research Topics
(Japanese)
双有理幾何,極小モデルプログラム,特異点
(English)
birational geometry, minimal model program, singularities
Overview of the research
(Japanese)
代数多様体の双有理幾何を研究している.初期の仕事は3次元因子収縮写像の明示的分類である.現在は極小モデルプログラムに現れる特異点をフリップの終止予想の立場から極小対数的食違い係数を手掛かりに研究している.
(English)
I am researching birational geometry of algebraic varieties. My early work is the explicit classification of threefold divisorial contractions. Currently I am studying singularities in the minimal model program towards the termination of flips, by focusing on minimal log discrepancies.
Fields of research (key words)
Key words(Japanese) Key words(English)
代数学 algebra
代数幾何 algebraic geometry
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
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita Divisors computing the minimal log discrepancy on a smooth surface Divisors computing the minimal log discrepancy on a smooth surface Divisors computing the minimal log discrepancy on a smooth surface MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 163, 1, 187-192 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 163, 1, 187-192 MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 163, 1, 187-192 2017/07 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita A connectedness theorem over the spectrum of a formal power series ring A connectedness theorem over the spectrum of a formal power series ring A connectedness theorem over the spectrum of a formal power series ring INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 11 INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 11 INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 11 2015/10 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita THE INDEX OF A THREEFOLD CANONICAL SINGULARITY THE INDEX OF A THREEFOLD CANONICAL SINGULARITY THE INDEX OF A THREEFOLD CANONICAL SINGULARITY AMERICAN JOURNAL OF MATHEMATICS, 137, 1, 271-280 AMERICAN JOURNAL OF MATHEMATICS, 137, 1, 271-280 AMERICAN JOURNAL OF MATHEMATICS, 137, 1, 271-280 2015/02 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita DISCRETENESS OF LOG DISCREPANCIES OVER LOG CANONICAL TRIPLES ON A FIXED PAIR DISCRETENESS OF LOG DISCREPANCIES OVER LOG CANONICAL TRIPLES ON A FIXED PAIR DISCRETENESS OF LOG DISCREPANCIES OVER LOG CANONICAL TRIPLES ON A FIXED PAIR JOURNAL OF ALGEBRAIC GEOMETRY, 23, 4, 765-774 JOURNAL OF ALGEBRAIC GEOMETRY, 23, 4, 765-774 JOURNAL OF ALGEBRAIC GEOMETRY, 23, 4, 765-774 2014/10 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita Ideal-adic semi-continuity problem for minimal log discrepancies Ideal-adic semi-continuity problem for minimal log discrepancies Ideal-adic semi-continuity problem for minimal log discrepancies MATHEMATISCHE ANNALEN, 356, 4, 1359-1377 MATHEMATISCHE ANNALEN, 356, 4, 1359-1377 MATHEMATISCHE ANNALEN, 356, 4, 1359-1377 2013/08 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita Ideal-adic Semi-continuity of Minimal Log Discrepancies on Surfaces Ideal-adic Semi-continuity of Minimal Log Discrepancies on Surfaces Ideal-adic Semi-continuity of Minimal Log Discrepancies on Surfaces MICHIGAN MATHEMATICAL JOURNAL, 62, 2, 443-447 MICHIGAN MATHEMATICAL JOURNAL, 62, 2, 443-447 MICHIGAN MATHEMATICAL JOURNAL, 62, 2, 443-447 2013 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita SUPPLEMENT TO CLASSIFICATION OF THREEFOLD DIVISORIAL CONTRACTIONS SUPPLEMENT TO CLASSIFICATION OF THREEFOLD DIVISORIAL CONTRACTIONS SUPPLEMENT TO CLASSIFICATION OF THREEFOLD DIVISORIAL CONTRACTIONS NAGOYA MATHEMATICAL JOURNAL, 206, 67-73 NAGOYA MATHEMATICAL JOURNAL, 206, 67-73 NAGOYA MATHEMATICAL JOURNAL, 206, 67-73 2012/06 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita TOWARDS BOUNDEDNESS OF MINIMAL LOG DISCREPANCIES BY THE RIEMANN-ROCH THEOREM TOWARDS BOUNDEDNESS OF MINIMAL LOG DISCREPANCIES BY THE RIEMANN-ROCH THEOREM TOWARDS BOUNDEDNESS OF MINIMAL LOG DISCREPANCIES BY THE RIEMANN-ROCH THEOREM AMERICAN JOURNAL OF MATHEMATICS, 133, 5, 1299-1311 AMERICAN JOURNAL OF MATHEMATICS, 133, 5, 1299-1311 AMERICAN JOURNAL OF MATHEMATICS, 133, 5, 1299-1311 2011/10 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita On a comparison of minimal log discrepancies in terms of motivic integration On a comparison of minimal log discrepancies in terms of motivic integration On a comparison of minimal log discrepancies in terms of motivic integration JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 620, 620, 55-65 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 620, 620, 55-65 JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 620, 620, 55-65 2008/07 Refereed English Research paper(scientific journal) Disclose to all
Masayuki Kawakita Masayuki Kawakita Masayuki Kawakita Inversion of adjunction on log canonicity Inversion of adjunction on log canonicity Inversion of adjunction on log canonicity INVENTIONES MATHEMATICAE, 167, 1, 129-133 INVENTIONES MATHEMATICAE, 167, 1, 129-133 INVENTIONES MATHEMATICAE, 167, 1, 129-133 2007/01 Refereed English Research paper(scientific journal) Disclose to all
M Kawakita M Kawakita M Kawakita Three-fold divisorial contractions to singularities of higher indices Three-fold divisorial contractions to singularities of higher indices Three-fold divisorial contractions to singularities of higher indices DUKE MATHEMATICAL JOURNAL, 130, 1, 57-126 DUKE MATHEMATICAL JOURNAL, 130, 1, 57-126 DUKE MATHEMATICAL JOURNAL, 130, 1, 57-126 2005/10 Refereed English Research paper(scientific journal) Disclose to all
M Kawakita M Kawakita M Kawakita General elephants of three-fold divisorial contractions General elephants of three-fold divisorial contractions General elephants of three-fold divisorial contractions JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 16, 2, 331-362 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 16, 2, 331-362 JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 16, 2, 331-362 2003 Refereed English Research paper(scientific journal) Disclose to all
M Kawakita M Kawakita M Kawakita Divisorial contractions in dimension three which contract divisors to compound A(1) points Divisorial contractions in dimension three which contract divisors to compound A(1) points Divisorial contractions in dimension three which contract divisors to compound A(1) points COMPOSITIO MATHEMATICA, 133, 1, 95-116 COMPOSITIO MATHEMATICA, 133, 1, 95-116 COMPOSITIO MATHEMATICA, 133, 1, 95-116 2002/08 Refereed English Research paper(scientific journal) Disclose to all
M Kawakita M Kawakita M Kawakita Divisorial contractions in dimension three which contract divisors to smooth points Divisorial contractions in dimension three which contract divisors to smooth points Divisorial contractions in dimension three which contract divisors to smooth points INVENTIONES MATHEMATICAE, 145, 1, 105-119 INVENTIONES MATHEMATICAE, 145, 1, 105-119 INVENTIONES MATHEMATICAE, 145, 1, 105-119 2001/07 Refereed English Research paper(scientific journal) Disclose to all
M. Kawakita M. Kawakita M. Kawakita On equivalent conjectures for minimal log discrepancies on smooth threefolds On equivalent conjectures for minimal log discrepancies on smooth threefolds On equivalent conjectures for minimal log discrepancies on smooth threefolds arXiv:1803.02539 arXiv:1803.02539 arXiv:1803.02539 Refereed English Disclose to all

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Title language:
Misc
Author Author(Japanese) Author(English) Title Title(Japanese) Title(English) Bibliography Bibliography(Japanese) Bibliography(English) Publication date Refereed paper Language Publishing type Disclose
川北 真之 川北 真之 極小モデル理論の発展 極小モデル理論の発展 平成22 年8 月2 日(月)から8月5 日(木)まで 平成22 年8 月2 日(月)から8月5 日(木)まで 2010 Refereed Japanese Disclose to all
Title language:
External funds: competitive funds and Grants-in-Aid for Scientific Research (Kakenhi)
Type Position Title(Japanese) Title(English) Period
若手研究(A) 高次元極小モデル理論に現れる特異点の研究 2008-2011
若手研究(A) 高次元極小モデル理論に現れる特異点の研究 2008-2011
若手研究(A) Representative 極小モデル理論と特異点の有界性問題                        2012-2015
若手研究(A) Representative 極小モデル理論と特異点の有界性問題                        2012/04/01-2016/03/31
若手研究(A) Representative 極小モデル理論と特異点の有界性問題 (平成26年度分) 2014/04/01-2015/03/31
若手研究(A) Representative 極小モデル理論と特異点の有界性問題 (平成27年度分) 2015/04/01-2016/03/31
基盤研究(C) Representative 極小モデルプログラムの特異点論 (平成28年度分) 2016/04/01-2017/03/31
特別研究員奨励費 Representative 特異曲線へ収縮する森収縮写像の分類 (平成28年度分) 2016/04/01-2017/03/31
基盤研究(C) Representative 極小モデルプログラムの特異点論 (平成29年度分) 2017/04/01-2018/03/31
特別研究員奨励費 Representative 特異曲線へ収縮する森収縮写像の分類 (平成29年度分) 2017/04/01-2018/03/31
基盤研究(C) Representative 極小モデルプログラムの特異点論 (平成30年度分) 2018/04/01-2019/03/31
基盤研究(C) Representative 対数的極小モデルプログラムに現れる特異点 (2019年度分) 2019/04/01-2020/03/31
基盤研究(C) Representative 対数的極小モデルプログラムに現れる特異点 (2020年度分) 2020/04/01-2021/03/31

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Teaching subject(s)
Name(Japanese) Name(English) Term Department Period
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2011/04-2012/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2012/04-2013/03
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 2013/04-2014/03
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 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
現代の数学と数理解析 Invitation to Modern Mathematics and Mathematical Sciences 前期 全学共通科目 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
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 2020/04-2021/03
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 2020/04-2021/03
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 2020/04-2021/03
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 2020/04-2021/03
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 2021/04-2022/03
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 2021/04-2022/03
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 2021/04-2022/03
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 2021/04-2022/03

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School management (title, position)
Title Period
北部構内交通委員会 委員 2021/04/01-2023/03/31
Faculty management (title, position)
Title Period
理学研究科大学院教育教務委員会 委員 2021/04/01-2022/03/31