Sato Hiroshi 佐藤拓

… Alternative Names

SATO Hiroshi 佐藤拓

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Researcher Number	20433310
Other IDs
Affiliation (Current)	2025: 福岡大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2020 – 2024: 福岡大学, 理学部, 教授 2018 – 2019: 福岡大学, 理学部, 准教授 2014 – 2015: 福岡大学, 理学部, 准教授 2008 – 2013: Gifu Shotoku Gakuen University, 経済情報学部, 准教授
Review Section/Research Field	Principal Investigator Basic Section 11010:Algebra-related / Algebra Except Principal Investigator Algebra
Keywords	Principal Investigator 森理論 / トーリック多様体 / ファノ多様体 / 変形理論 / 弱ファノ多様体 / 高次サイクル / 2サイクル / 端射的収縮写像 / ２ファノ多様体 / 2-サイクル … More / 導来圏 / 双有理幾何学 / トーリック様体 / 幾何学 / 代数学 … More Except Principal Investigator 代数多様本 / モティーフ / 特異点 / トーリック / 代数群 / モチーフ / 代数多様体 / 循環商特異点 / 凸多面体 / 扇 / トーリック多様体 Less

部分曲面を主体とするトーリック森理論の構築Principal Investigator
- Principal Investigator
  
  佐藤拓
- Project Period (FY)
  2024 – 2028
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Fukuoka University
高次元特異トーリック多様体の収縮写像の変形Principal Investigator
- Principal Investigator
  
  佐藤拓
- Project Period (FY)
  2018 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Fukuoka University
Studies on developments and applications for the toric Mori theoryPrincipal Investigator
- Principal Investigator
  
  Sato Hiroshi
- Project Period (FY)
  2011 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Fukuoka University
  Gifu Shotoku Gakuen University
Studies on cycles of intermediate dimensions on toric varietiesPrincipal Investigator
- Principal Investigator
  
  SATO Hiroshi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Gifu Shotoku Gakuen University
Extensions and applications of the theory of toric varieties
- Principal Investigator
  
  ISHIDA Masanori
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University

All 2023 2022 2021 2020 2019 2016 2015 2014 2013 2012 2011 2010 2009 2008 Other

All Journal Article Presentation

[Journal Article] Anti-flips of the blow-ups of the projective spaces at torus invariant points2023
- Author(s)
  Hiroshi Sato and Shigehito Tsuzuki
- Journal Title
  
  Bull. Korean Math. Soc.
  
  Volume: 60 Pages: 1705-1714
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03262
[Journal Article] Terminal toric Fano 3-folds with numerical conditions2022
- Author(s)
  Hiroshi Sato and Ryota Sumiyoshi
- Journal Title
  
  Kyoto J. Math.
  
  Volume: 62 Issue: 1 Pages: 163-177
- DOI
  10.1215/21562261-2022-0003
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03262
[Journal Article] A sufficient condition for a toric weak Fano 4-fold to be deformed to a Fano manifold2021
- Author(s)
  Hiroshi Sato
- Journal Title
  
  J. Korean Math. Soc.
  
  Volume: 58 Pages: 1081-1107
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03262
[Journal Article] Toric Fano manifolds of dimension at most eight with positive second Chern characters2021
- Author(s)
  Yuji Sano, Hiroshi Sato and Yusuke Suyama
- Journal Title
  
  Kumamoto J. Math.
  
  Volume: 34 Pages: 1-13
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03262
[Journal Article] Remarks on toric manifolds whose Chern characters are positive2020
- Author(s)
  H. Sato and Y. Suyama
- Journal Title
  
  Communications in Algebra
  
  Volume: - Issue: 6 Pages: 2528-2538
- DOI
  10.1080/00927872.2020.1719412
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18J00022, KAKENHI-PROJECT-18K03262
[Journal Article] Examples of singular toric varieties with certain numerical conditions2020
- Author(s)
  Hiroshi Sato and Yusuke Suyama
- Journal Title
  
  Osaka J. Math.
  
  Volume: 57 Pages: 51-59
- NAID
  120006781488
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03262
[Journal Article] Toric Fano contractions associated to long extremal rays2020
- Author(s)
  Osamu Fujino and Hiroshi Sato
- Journal Title
  
  Tohoku Math. J.
  
  Volume: 72 Pages: 77-86
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03262
[Journal Article] Notes on toric varieties from Mori theoretic viewpoint, II2020
- Author(s)
  Osamu Fujino and Hiroshi Sato
- Journal Title
  
  Nagoya Math. J.
  
  Volume: 239 Pages: 42-75
- DOI
  10.1017/nmj.2018.27
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03262, KAKENHI-PROJECT-16H03925
[Journal Article] Toric Fano contractions associated to long extremal rays2019
- Author(s)
  Osamu Fujino and Hiroshi Sato
- Journal Title
  
  to appear in Tohoku Math. J.
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03262
[Journal Article] トーリック・ファノ多様体の第二チャーン指標2015
- Author(s)
  佐藤　拓
- Journal Title
  
  福岡大学微分幾何研究会報告集
  
  Volume: 21 Pages: 1-9
- Data Source
  KAKENHI-PROJECT-23540062
[Journal Article] トーリック・ファノ多様体の第二チャーン指標2014
- Author(s)
  佐藤　拓
- Journal Title
  
  数理解析研究所講究録
  
  Volume: 未定
- Data Source
  KAKENHI-PROJECT-23540062
[Journal Article] The numerical class of a surface on a toric manifold2012
- Author(s)
  H. Sato
- Journal Title
  
  Int. J. Math. Math. Sci
  
  Volume: 2012 Pages: 9-9
- DOI
  10.1155/2012/536475
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740026, KAKENHI-PROJECT-23540062
[Journal Article] Three-dimensional toricmorphisms with anti-nef canonical divisors2009
- Author(s)
  O H.Sato
- Journal Title
  
  Comm.Alg. 37
  
  Pages: 2325-2336
- Data Source
  KAKENHI-PROJECT-20740026
[Journal Article] Three-dimensional terminal toric flips2009
- Author(s)
  O. Fujino, H. Sato, Y. Takano and H. Uehara
- Journal Title
  
  Cent. Eur. J. Math 7
  
  Pages: 46-53
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740026
[Journal Article] Smooth projective toric varieties whose nontrivial nef line bundles are big2009
- Author(s)
  O. Fujino and H. Sato
- Journal Title
  
  Proc. Japan Acad. Ser. A Math. Sci
  
  Volume: 85 Pages: 89-94
- NAID
  40016671765
- Data Source
  KAKENHI-PROJECT-20740026
[Journal Article] Smooth projective toric varieties whose nontrivial nef line bundles are big2009
- Author(s)
  TO.Fujino , H.Sato
- Journal Title
  
  Proc.Japan Acad.Ser.AMath.Sci. 85
  
  Pages: 89-94
- NAID
  40016671765
- Data Source
  KAKENHI-PROJECT-20740026
[Journal Article] Three-dimensional terminal toric flips2009
- Author(s)
  O.Fujino, H.Sato, Y.Takano, H.Uehara
- Journal Title
  
  Cent.Eur.J.Math. 7
  
  Pages: 46-53
- Data Source
  KAKENHI-PROJECT-20740026
[Journal Article] Three-dimensional terminal toric flips2009
- Author(s)
  O. Fujino, H. Sato, Y. Takano and H. Uehara
- Journal Title
  
  Cent. Eur. J. Math
  
  Volume: 7 Pages: 46-53
- Data Source
  KAKENHI-PROJECT-20740026
[Journal Article] Three-dimensional toric morphisms with anti-nef canonical divisors2009
- Author(s)
  Hiroshi Sato
- Journal Title
  
  Comm.Alg. 37
  
  Pages: 2325-2336
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740026
[Journal Article] Smooth projective toric varieties whose nontrivial nef line bundles are big2009
- Author(s)
  Osamu Fujino, Hiroshi Sato
- Journal Title
  
  Proc.Japan Acad.Ser.A Math.Sci. 85
  
  Pages: 89-94
- NAID
  40016671765
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Anti-flips of the blow-ups of the projective spaces at torus invariant points2023
- Author(s)
  佐藤　拓
- Organizer
  日本数学会秋季総合分科会
- Data Source
  KAKENHI-PROJECT-18K03262
[Presentation] トーリック Fano 多様体の Chern 指標2021
- Author(s)
  佐野友二, 佐藤拓, 須山雄介
- Organizer
  日本数学会2021年度年会
- Data Source
  KAKENHI-PROJECT-18K03262
[Presentation] Singular toric 2-Fano varieties2019
- Author(s)
  Hiroshi Sato
- Organizer
  Toric geometry, degenerations and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03262
[Presentation] The length of an extremal ray of a toric variety2019
- Author(s)
  Hiroshi Sato
- Organizer
  Oberwolfach Workshop: Toric Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03262
[Presentation] トーリック弱ファノ多様体がファノに変形する十分条件について2019
- Author(s)
  Hiroshi Sato
- Organizer
  射影多様体の幾何とその周辺 2019
- Invited
- Data Source
  KAKENHI-PROJECT-18K03262
[Presentation] トーリック・ファノ多様体の変形2016
- Author(s)
  佐藤　拓
- Organizer
  ワークショップ「Algebraic Geometry and Singularities」
- Place of Presentation
  東京大学数理科学研究科
- Year and Date
  2016-03-22
- Invited
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] トーリック多様体のチャーン指標2015
- Author(s)
  佐藤　拓
- Organizer
  研究集会「射影多様体の幾何とその周辺2015」
- Place of Presentation
  高知大学理学部
- Year and Date
  2015-10-31
- Invited
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] 第二チャーン指標が正のトーリック多様体2015
- Author(s)
  佐藤　拓
- Organizer
  RIMS研究集会「幾何学・組み合わせ論に現れる環と代数構造」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-06-09
- Invited
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] トーリック・ファノ多様体の第二チャーン指標2013
- Author(s)
  佐藤　拓
- Organizer
  Fano多様体の最近の進展
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] トーリック多様体の weak factorization theorem について2013
- Author(s)
  佐藤拓
- Organizer
  杜の都代数幾何学研究集会
- Place of Presentation
  東北大学大学院理学研究科
- Invited
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] ファノ多面体の分類理論 (I), (II) (二回連続講演)2012
- Author(s)
  佐藤拓
- Organizer
  研究集会「学習理論における組合せ論」
- Place of Presentation
  九州大学マス・フォア・インダストリ研究所
- Invited
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] Toric manifolds whose Chern characters are non-negative2011
- Author(s)
  Hiroshi Sato
- Organizer
  Toric Topology and Automorphic Functions(招待講演)
- Place of Presentation
  Pacific National Univ.
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] Toric Fano manifolds with non-negative second Chern characters2011
- Author(s)
  H. Sato
- Organizer
  代数幾何学研究集会-ファノ多様体と正標数上の話題を中心として-
- Place of Presentation
  九州大学数理学研究院
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] On the classification of toric 2-Fano manifolds2011
- Author(s)
  Hiroshi Sato
- Organizer
  特異点論とその広がり(招待講演)
- Place of Presentation
  京都大学
- Data Source
  KAKENHI-PROJECT-23540062
[Presentation] On the classification of toric 2-Fano manifolds2011
- Author(s)
  H. Sato
- Organizer
  研究集会「特異点論とそのひろがり」
- Place of Presentation
  京都大学理学部
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Toric manifolds whose Chern characters are non-negative2011
- Author(s)
  H. Sato
- Organizer
  International Conference "Toric Topology and Automorphic Functions"
- Place of Presentation
  Pacific National University, Khabarovsk, Russia
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Toric Fano manifolds with non-negative second Chern characters2011
- Author(s)
  佐藤拓
- Organizer
  九州大学数理学研究院, 代数幾何学研究集会-ファノ多様体と正標数上の話題を中心として
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Cones of effective two-cycles on toric manifolds2010
- Author(s)
  佐藤拓
- Organizer
  The International Conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS"
- Place of Presentation
  Steklov Mathematical Institute (Moscow)
- Year and Date
  2010-08-19
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Three-dimensional toric morphisms with anti-nef canonical divisors2010
- Author(s)
  佐藤拓
- Organizer
  関西学院大学大阪梅田キャンパス, アフィン代数幾何学研究集会
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Toric Mori theory and Fano manifolds I, II, III, IV2010
- Author(s)
  H. Sato
- Organizer
  Toric Topology with applications in combinatorics
- Place of Presentation
  大阪市立大学理学部数学教室
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Three-dimensional toric morphisms with anti-nef canonical divisors2010
- Author(s)
  H. Sato
- Organizer
  アフィン代数幾何学研究集会
- Place of Presentation
  関西学院大学大阪梅田キャンパス
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Toric Mori theory and Fanomanifolds I, II, III, IV(四回連続講演)2010
- Author(s)
  H.Sato
- Organizer
  Toric Topology with applications in combinatorics
- Place of Presentation
  大阪市立大学理学部数学教室
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Cones of effective two-cycleson toric manifolds, SteklovMathematical Institute of RAS and Moscow State University2010
- Author(s)
  H.Sato
- Organizer
  The International Conference GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Cones of effective two-cycles on toric manifolds, Steklov Mathematical Institute of RAS and Moscow State University2010
- Author(s)
  H. Sato
- Organizer
  The International Conference "GEOMETRY, TOPOLOGY, ALGEBRA and NUMBER THEORY, APPLICATIONS''
- Place of Presentation
  Steklov Mathematical Institute of RAS and Moscow State University
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Two-cycles on toric Fanomanifolds2009
- Author(s)
  H.Sato
- Organizer
  東北復旦代数幾何合同シンポジウム
- Place of Presentation
  東北大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] On the classification of toric higher Fano manifolds2009
- Author(s)
  H. Sato
- Organizer
  研究集会「代数幾何の関連する諸分野」
- Place of Presentation
  北海道大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] Two-cycles on toric Fano manifolds2009
- Author(s)
  H. Sato
- Organizer
  東北復旦代数幾何合同シンポジウム
- Place of Presentation
  東北大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] トーリック多様体上の中間次元サイクル2008
- Author(s)
  佐藤拓
- Organizer
  研究集会射影多様体の幾何とその周辺2008
- Place of Presentation
  高知大学理学部
- Year and Date
  2008-11-01
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] トーリック多様体上の中間次元サイクル2008
- Author(s)
  H. Sato
- Organizer
  研究集会「射影多様体の幾何とその周辺2008」
- Place of Presentation
  高知大学理学部
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] トーリック多様体上の中間次元サイクル2008
- Author(s)
  H. Sato
- Organizer
  研究集会「代数幾何の関連する諸分野」
- Place of Presentation
  北海道大学大学院理学研究科
- Data Source
  KAKENHI-PROJECT-20740026
[Presentation] トーリック・ファノ多様体の第二チャーン指標
- Author(s)
  佐藤　拓
- Organizer
  福岡大学微分幾何研究会
- Place of Presentation
  福岡大学セミナーハウス
- Year and Date
  2014-10-31 – 2014-11-03
- Invited
- Data Source
  KAKENHI-PROJECT-23540062

1. ISHIDA Masanori (30124548)

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2. OGATA Shoetsu (90177113)

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3. YUKIE Akihiko (20312548)

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4. HANAMURA Masaki (60189587)

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5. HARA Nobuo (90298167)

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6. KAJIWARA Takeshi (00250663)

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7. ASHIKAGA Tadashi (90125203)

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8. TSUCHIHASHI Hiroyasu (00146119)

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9. TAKAHASHI Tomokuni (50259793)

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Sato Hiroshi 佐藤 拓

SATO Hiroshi 佐藤 拓

Research Projects

Research Products

Co-Researchers

部分曲面を主体とするトーリック森理論の構築Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

高次元特異トーリック多様体の収縮写像の変形Principal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Studies on developments and applications for the toric Mori theoryPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on cycles of intermediate dimensions on toric varietiesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Extensions and applications of the theory of toric varieties

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Anti-flips of the blow-ups of the projective spaces at torus invariant points2023

Author(s)

Journal Title

Data Source

[Journal Article] Terminal toric Fano 3-folds with numerical conditions2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] A sufficient condition for a toric weak Fano 4-fold to be deformed to a Fano manifold2021

Author(s)

Journal Title

Data Source

[Journal Article] Toric Fano manifolds of dimension at most eight with positive second Chern characters2021

Author(s)

Journal Title

Data Source

[Journal Article] Remarks on toric manifolds whose Chern characters are positive2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Examples of singular toric varieties with certain numerical conditions2020

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Toric Fano contractions associated to long extremal rays2020

Author(s)

Journal Title

Data Source

[Journal Article] Notes on toric varieties from Mori theoretic viewpoint, II2020

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Toric Fano contractions associated to long extremal rays2019

Author(s)

Journal Title

Data Source

[Journal Article] トーリック・ファノ多様体の第二チャーン指標2015

Author(s)

Journal Title

Data Source

[Journal Article] トーリック・ファノ多様体の第二チャーン指標2014

Sato Hiroshi 佐藤拓

SATO Hiroshi 佐藤拓