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SAITO Natsuo  齋藤 夏雄

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… Alternative Names

齋藤 夏雄  サイトウ ナツオ

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Researcher Number 70382372
Other IDs
Affiliation (Current) 2025: 広島市立大学, 情報科学研究科, 教授
Affiliation (based on the past Project Information) *help 2017 – 2021: 広島市立大学, 情報科学研究科, 准教授
2009 – 2016: Hiroshima City University, 情報科学研究科, 講師
2015: 広島市立大学, 大学院情報科学研究科, 講師
2011: 広島市立大学, 大学院・情報科学研究科, 講師
2007: Hiroshima City University, 情報科学研究科, 助教
2007: Hiroshima University, Graduate School of Information Sciences, Lecturer
2005 – 2006: 広島市立大学, 情報科学部, 助手
Review Section/Research Field
Principal Investigator
Algebra
Except Principal Investigator
Algebra
Keywords
Principal Investigator
正標数 / 代数多様体 / del Pezzo曲面 / 準楕円曲面 / 有理二重点 / 変形理論 / 特異点 / Calabi-Yau多様体 / 代数幾何学 / デル・ペッツォ曲面 … More / 単純特異点 / ファノ多様体 / F分裂性 / 変形空間 … More
Except Principal Investigator
特異点 / Calabi-Yau多様体 / K3曲面 / 楕円曲面 / 正標数 / 代数幾何学 / 代数学 / 消去問題 / Qホモロジー射影平面 / 正規デルペッゾ曲面 / 高階導分 / 多項式環 / 対数的小平次元 / 正規代数曲面 / 開代数曲面 / Enriques曲面 / Artin-Schreier拡大 / Frobenius写像 / 野生的群作用 / 正標数特異点 / 導分 / 代数多様体 / 非ケーラー幾何 / 疑似乱数生成 / 群スキーム / Canonical singularities / K3 surfaces / (quasi-elliptic) elliptic surfaces / Rational singularities / Calabi-Yau varieties / Algebraic Geometry in positive characteristic / モジュライ空間 / 超特異K3曲面 / 準楕円曲面 / Mordell-weil格子 / 正標数の代数多様体 / 標準特異点 / (隼楕円)楕円曲面 / 有理特異点 / 正標数代数幾何学 / 楕円局面 / 変形理論 / 疑似乱数 / 有限体 / Mordell-Weil格子 Less
  • Research Projects

    (8 results)
  • Research Products

    (47 results)
  • Co-Researchers

    (6 People)
  •  Study on Fano varieties defined over an algebraically closed field in positive characteristicPrincipal Investigator

    • Principal Investigator
      Saito Natsuo
    • Project Period (FY)
      2017 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima City University
  •  Understanding the structure of open algebraic surfaces and normal algebraic surfaces of logarithmic Kodaira dimension one or less

    • Principal Investigator
      Kojima Hideo
    • Project Period (FY)
      2014 – 2016
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Niigata University
  •  Research on algebraic varieties defined over an algebracally closed field in positive characteristicPrincipal Investigator

    • Principal Investigator
      Saito Natsuo
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima City University
  •  Toward the resolution of problems on algebraic varieties in positive characteristic

    • Principal Investigator
      Ito Hiroyuki
    • Project Period (FY)
      2012 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Science
  •  Problems on algebraic geometry in positive characteristicPrincipal Investigator

    • Principal Investigator
      SAITO Natsuo
    • Project Period (FY)
      2009 – 2012
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima City University
  •  Research for arithmetic and geometry of algebraic varieties including positive characteristic

    • Principal Investigator
      HIROYUKI Ito (ITO Hiroyuki)
    • Project Period (FY)
      2008 – 2011
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Science
      Hiroshima University
  •  正標数の代数的閉体上定義された代数多様体の研究Principal Investigator

    • Principal Investigator
      齋藤 夏雄
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Young Scientists (B)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima City University
  •  Research on arithmetic and geometry for algebraic varieties in positive characteristic.

    • Principal Investigator
      ITO Hiroyuki
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Hiroshima University

All 2021 2020 2019 2018 2016 2015 2013 2011 2010 2009 2008 2007 2006 2005 Other

All Journal Article Presentation

  • [Journal Article] On the multicanonical systems of quasi-elliptic surfaces2021

    • Author(s)
      KATSURA Toshiyuki、SAITO Natsuo
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73 Issue: 4 Pages: 1253-1261

    • DOI

      10.2969/jmsj/85058505

    • NAID

      130008106927

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Language
      English
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17K05208, KAKENHI-PROJECT-20K03530
  • [Journal Article] Three dimensional canonical singularities in codimension two in positive characteristic2013

    • Author(s)
      Masayuki Hirokado, Hiroyuki Ito, Natsuo Saito
    • Journal Title

      Journal of Algebra

      Volume: 373 Pages: 207-222

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Journal Article] Three dimensional canonical singularities in codimension two in positive characteristic2013

    • Author(s)
      Masayuki Hirokado, Hiroyuki Ito, Natsuo Saito
    • Journal Title

      Journal of Algebra

      Volume: 373 Pages: 207-222

    • DOI

      10.1016/j.jalgebra.2012.10.007

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-24540046, KAKENHI-PROJECT-24540051
  • [Journal Article] 正標数の有理二重点の変形について2011

    • Author(s)
      齋藤夏雄
    • Journal Title

      研究集会「射影多様体の幾何とその周辺2011」報告集

      Pages: 73-84

    • Data Source
      KAKENHI-PROJECT-21740027
  • [Journal Article] Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, II2008

    • Author(s)
      M. Hirokado, H. Ito, N, Saito
    • Journal Title

      Manuscripta Mathematica 125

      Pages: 325-343

    • NAID

      120000877734

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540044
  • [Journal Article] Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces2008

    • Author(s)
      Masayuki Hirokado, Hiroyuki Ito and Natsuo Saito
    • Journal Title

      Manuscripta Mathematica

      Volume: Vol.125 Pages: 325-343

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540044
  • [Journal Article] Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, II2008

    • Author(s)
      Masayuki, Hirokado, Hiroyuki, Ito, Natsuo, Saito
    • Journal Title

      Manuscripta Mathematica 125

      Pages: 325-343

    • NAID

      120000877734

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Journal Article] Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, II2008

    • Author(s)
      Masayuki Hirokado,Hiroyuki Ito, Natsuo Saito
    • Journal Title

      Manuscripta Mathematica Vol.125

      Pages: 325-343

    • NAID

      120000877734

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540044
  • [Journal Article] Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, I2007

    • Author(s)
      Masayuki, Hirokado, Hiroyuki, Ito, Natsuo, Saito
    • Journal Title

      Arkiv for Matematik 45

      Pages: 279-296

    • NAID

      120000877735

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Journal Article] Calabi-Yau 3-folds from fiber products of rational quasi-elliptic surfaces2006

    • Author(s)
      齋藤 夏雄
    • Journal Title

      代数幾何学シンポジウム報告集

      Pages: 95-104

    • NAID

      120005763665

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Journal Article] Calabi-Yau 3-folds from fiber products of ratinal quasi-elliptic surfaces2006

    • Author(s)
      Natsuo, Saito
    • Journal Title

      Proceedings of the symposium on algebraic geometry, Kinosaki

      Pages: 95-104

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Journal Article] On 3-folds arising from the products of quasi-elliptic Surfaces2006

    • Author(s)
      Natsuo, Saito
    • Journal Title

      Proceedings of the symposium on the geometry of projective variteties 2006

      Pages: 49-61

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Journal Article] 準楕円曲面の積から得られる3じげんCalabi-Yau多様体について2006

    • Author(s)
      齋藤 夏雄
    • Journal Title

      「射影多様体の幾何とその周辺2006」報告集

      Pages: 49-61

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Journal Article] Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces, I

    • Author(s)
      廣門正行, 伊藤浩行, 齋藤夏雄
    • Journal Title

      Arkiv for matematik (未定)

    • NAID

      120000877735

    • Data Source
      KAKENHI-PROJECT-17740022
  • [Presentation] On the multicanonical systems of quasi-elliptic surfaces2021

    • Author(s)
      齋藤 夏雄
    • Organizer
      野田代数幾何学ワークショップ2021
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05208
  • [Presentation] F分裂しないdel Pezzo曲面とその自己同型群2020

    • Author(s)
      齋藤 夏雄
    • Organizer
      第7回代数幾何学研究集会-宇部-
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05208
  • [Presentation] F分裂しないdel Pezzo曲面の探究2019

    • Author(s)
      齋藤 夏雄
    • Organizer
      研究集会「ファノ多様体及び関連する代数幾何学」
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05208
  • [Presentation] F分裂しないdel Pezzo曲面について2019

    • Author(s)
      齋藤 夏雄
    • Organizer
      研究集会「射影多様体の幾何とその周辺2019」
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05208
  • [Presentation] Deformation spaces of rational double points in small characteristic2018

    • Author(s)
      齋藤 夏雄
    • Organizer
      野田代数幾何学シンポジウム2018
    • Invited
    • Data Source
      KAKENHI-PROJECT-17K05208
  • [Presentation] Fano varieties in positive characteristic and their F-splittings2018

    • Author(s)
      Natsuo Saito
    • Organizer
      Hakodate workshop on arithmetic geometry 2018
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05208
  • [Presentation] F-splitting and Fano varieties2016

    • Author(s)
      齋藤 夏雄
    • Organizer
      研究集会「高次元代数幾何とその周辺」
    • Place of Presentation
      京都大学
    • Year and Date
      2016-02-04
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540046
  • [Presentation] F分裂性をもたないdel Pezzo曲面について2015

    • Author(s)
      齋藤 夏雄
    • Organizer
      第9回代数曲面ワークショップ
    • Place of Presentation
      首都大学東京
    • Year and Date
      2015-05-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540046
  • [Presentation] F-splitting and Fano varieties2015

    • Author(s)
      齋藤 夏雄
    • Organizer
      第13回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2015-03-05
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540046
  • [Presentation] F分裂性とdel Pezzo曲面2015

    • Author(s)
      齋藤 夏雄
    • Organizer
      農工大数学セミナー2015
    • Place of Presentation
      東京農工大学
    • Year and Date
      2015-06-24
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540046
  • [Presentation] del Pezzo曲面のF分裂性について2015

    • Author(s)
      齋藤 夏雄
    • Organizer
      野田代数幾何学シンポジウム
    • Place of Presentation
      東京理科大学
    • Year and Date
      2015-03-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540046
  • [Presentation] Characterization of non-F-split del Pezzo surfaces2015

    • Author(s)
      齋藤 夏雄
    • Organizer
      城崎代数幾何学シンポジウム
    • Place of Presentation
      城崎国際アートセンター
    • Year and Date
      2015-10-20
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-24540046
  • [Presentation] 正標数の有理二重点の変形について2011

    • Author(s)
      齋藤夏雄
    • Organizer
      研究集会「射影多様体の幾何とその周辺2011」
    • Place of Presentation
      高知大学
    • Year and Date
      2011-11-04
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Presentation] 正標数の有理二重点の変形について2011

    • Author(s)
      齋藤夏雄
    • Organizer
      射影多様体の幾何とその周辺2011
    • Place of Presentation
      高知大学
    • Year and Date
      2011-11-04
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Presentation] On the multicanonical system of quasi-elliptic surfaces2010

    • Author(s)
      齋藤夏雄
    • Organizer
      アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学
    • Year and Date
      2010-09-04
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Presentation] Quasi-elliptic surfaceとその応用2010

    • Author(s)
      齋藤夏雄
    • Organizer
      代数幾何研究集会2010
    • Place of Presentation
      法政大学
    • Year and Date
      2010-07-17
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Presentation] On the deformations of rational double points in positive characteristic2009

    • Author(s)
      齋藤夏雄
    • Organizer
      「正標数の代数幾何」研究集会
    • Place of Presentation
      法政大学
    • Year and Date
      2009-12-19
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Presentation] Calabi-Ya u 3-folds arising from fiber products of quasi-elliptic surfaces2009

    • Author(s)
      Natsuo Saito
    • Organizer
      1st PRIMA Congress
    • Place of Presentation
      The University of New South Wales, Sydney, Australia.
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Presentation] Calabi-Yau 3-folds arising from fiber products of quasi-elliptic surfaces2009

    • Author(s)
      齋藤夏雄
    • Organizer
      1st PRIMA Congress
    • Place of Presentation
      UNSW, Sydney
    • Year and Date
      2009-07-07
    • Data Source
      KAKENHI-PROJECT-21740027
  • [Presentation] On certain Calabi-Yau threefolds in positive characteristic2007

    • Author(s)
      N. Saito
    • Organizer
      COE seminar on Algebraic Geometry
    • Place of Presentation
      慶応大学
    • Year and Date
      2007-09-04
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] On certain Calabi-Yau threefolds in positive characteristic2007

    • Author(s)
      齋藤 夏雄
    • Organizer
      COE Seminar on Algebraic Geometry
    • Place of Presentation
      慶應義塾大学
    • Year and Date
      2007-09-04
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] On certain Calabi-Yau threefolds in positive characteristic2007

    • Author(s)
      Natsuo, Saito
    • Organizer
      COE Seminar on Algebraic Geometry
    • Place of Presentation
      Keio University
    • Year and Date
      2007-09-04
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] Calabi-Yau 3-folds from fiber products of quasi-elliptic surfaces2006

    • Author(s)
      齋藤 夏雄
    • Organizer
      代数幾何学シンポジウム
    • Place of Presentation
      兵庫県立城崎大会議館
    • Year and Date
      2006-10-26
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] Fano 3-folds in positive characteristic and wild hypersurfaces2006

    • Author(s)
      齋藤 夏雄
    • Organizer
      2006/2007 Moduli Spaces,
    • Place of Presentation
      スウェーデン、Mittag-Leffler研究所
    • Year and Date
      2006-09-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] 楕円曲面の積として得られる正標数Calabi-Yau多様体について2006

    • Author(s)
      齋藤 夏雄
    • Organizer
      日本数学界年回
    • Place of Presentation
      中央大学
    • Year and Date
      2006-03-26
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] Calabi-Yau threefolds from fiber products of quasi-elliptic surfaces2006

    • Author(s)
      Natsuo, Saito
    • Organizer
      Symposium on Algebraic Geometry
    • Place of Presentation
      Kinosaki Conference Hall
    • Year and Date
      2006-10-26
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] Fano 3-folds in positive characteristic and wild hypersurfaces2006

    • Author(s)
      Natsuo, Saito
    • Organizer
      2006/2007 Moduli spaces
    • Place of Presentation
      Sweden Mittag-Leffler Institute
    • Year and Date
      2006-09-21
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] Calabi-Yau threefolds arising from fiber products of rational quasi-elliptic surfaces2006

    • Author(s)
      Natsuo, Saito
    • Organizer
      Symposium on the geometry of projective varieties, 2006
    • Place of Presentation
      Kochi University
    • Year and Date
      2006-11-04
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] 準楕円曲面の積から得られる3次元Calabi-Yau多様体について2006

    • Author(s)
      齋藤 夏雄
    • Organizer
      射影多様体の幾何とその周辺2006
    • Place of Presentation
      高知大学理学部
    • Year and Date
      2006-11-04
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] On Calabi-Yau varieties arising from the products of quasi-elliptic surfaces in positive characteristic2006

    • Author(s)
      Natsuo, Saito
    • Organizer
      Annual meeting of Japan Mathematical Society
    • Place of Presentation
      Chuo University
    • Year and Date
      2006-03-26
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] On certain Calabi-Yau varieties in positive characteristic, III2005

    • Author(s)
      Natsuo, Saito
    • Organizer
      Workshop on algebraic geometry, Sendai 2005 Autumn
    • Place of Presentation
      Tohoku University
    • Year and Date
      2005-11-08
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] ある種の正標数Calabi-Yau多様体について、III2005

    • Author(s)
      齋藤 夏雄
    • Organizer
      代数幾何学ミニワークショップ・仙台2005秋
    • Place of Presentation
      代数幾何学ミニワークショップ・仙台2005秋
    • Year and Date
      2005-11-08
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540027
  • [Presentation] On del Pezzo surfaces of Fermat type in positive characteristic

    • Author(s)
      齋藤 夏雄
    • Organizer
      第12回アフィン代数幾何学研究集会
    • Place of Presentation
      関西学院大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-24540046
  • 1.  HIROYUKI Ito (60232469)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 15 results
  • 2.  HIROKADO Masayuki (40316138)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 5 results
  • 3.  Kojima Hideo (90332824)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  KISHIMOTO Takashi (20372576)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  TAKAHASHI Takeshi (60390431)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  NAGAMINE Takanori
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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