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HARA Nobuo  原 伸生

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Researcher Number 90298167
Other IDs
External Links
Affiliation (Current) 2025: 東京農工大学, 工学(系)研究科(研究院), 教授
Affiliation (based on the past Project Information) *help 2013 – 2023: 東京農工大学, 工学(系)研究科(研究院), 教授
2013: 東京農工大学, 工学研究院, 教授
2012: 東北大学, 理学(系)研究科(研究院), 准教授
2007 – 2012: Tohoku University, 大学院・理学研究科, 准教授
2006: Tohoku University, Graduate School of Science, Associate Professor, 大学院理学研究科, 助教授 … More
2002 – 2005: Mathematical Institute of Tohoku University Associate Professor, 大学院・理学研究科, 助教授
2000 – 2002: 東北大学, 大学院・理学研究科, 講師
1998 – 1999: 早稲田大学, 理工学部, 助手 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related
Except Principal Investigator
Algebra / Algebra
Keywords
Principal Investigator
正標数 / 代数幾何 / 特異点 / フロベニウス写像 / F-特異点 / multiplier ideal / フロベニウス直像 / ベクトル束 / tight closure / Frobenius直像 … More / del Pezzo曲面 / del Pezzo 曲面 / 有限F-表現型(FFRT) / 有限F表現型(FFRT) / algebraic geometry / F-singularity / 乗数イデアル / 判定イデアル / 密着閉包 / 大域的F正則 / F爆発 / 随伴束 / F-爆発 / 代数多様体 / フロベニウス射 / F-純閾値 / 可換環論 / F-正則 / test ideal / F-有理(F-rational) / F-正則(F-regular) / 反標準束 / 反標準束(反標準環) / 代数的スタック / 2次元特異点 / 有限F表現型 / F-符号数 / 5次del Pezzo曲面 / 有限F表現型(FFRT) / 反標準環 / デルペッツォ曲面 / ファノ多様体 / 2次元正規次数環 / multiplicity / tropical geometry / toric variety / F-pure threshold / P-フラクタル / Buchsbaum斉次代数 / トロピカル・トーリック多様体 / CCI曲面 / 対数的標準閾値 / 重複度 / トロピカル幾何 / トーリック多様体 / Rees algebra / commutative algebra / positive characteristic / Tight closure / 記号的ベキ乗 / Subadditivity / 密着閉包(I-密着閉包) / Rees環 / 代数幾何学 / 大域的有限F表現型 / 大域的F有限型 / 平坦化 / Fサンドイッチ / F正則 / 単純楕円型特異点 / F-サンドイッチ / 純非分離射 / F-分裂次元 / 代数曲面 / F-純特異点の最小中心 / 対数的標準閾特異点 / 組の特異点 / 半安定性 / 擬斉次 / Hilbert-Kunz重複度 / Q-Gorenstein性 / F-正則性 / F-跳躍数 / 対数的標準特異点 / 組(pair) / 対数的端末特異点 / F-純(F-pure) … More
Except Principal Investigator
トーリック多様体 / tight closure / 代数幾何学 / multiplier ideal / 楕円曲線 / 有理特異点 / 特異点 / totally reflexive module / F-rational ring / F-threshold / Frobenius endomorphism / F-regular ring / Hilbert-Kunz重複度 / 整閉イデアル / F-pure threshold / log terminal singularity / Frobenius写像 / Hilbert-Kunz multiplicity / F-pure / lc threshold / toric variety / アーベル多様体 / 量子群 / 概均質ベクトル空間 / 密度定理 / 代数幾何 / 代数群 / モチーフ / 代数多様体 / 凸多面体 / 扇 / multiplicity / integral closure / rational singularity / F-正則対 / jumping number / jumping coefficient / 標数p>0の手法 / 乗数イデアル / 重複度 / totally reflexive加群 / 整閉包 / F-有理環 / algebraic geometry / convex polytope / トロピカル幾何 / 孤立特異点 / Frobenius / Motif / Algebraic cycles / Toric Variety / Prehomogeneous vector spaces / 対数的代数幾何 / 密着閉包 / test ideal / 対数アーベル多様体 / フロベニウス写像 / 代数的サイクル / regular local ring / F-pure ring / 商特異点 / blowing up / terminal singularity / regular ring / subadditivity / 特異点の解消 / 素元分解環 / 全座標環 / 可換環論 / Chow群 / Seifelt手術 / UFD / log resolution / 正則局所環 / thight closure / fan / Rees alebra / blowup / elliptic curve / abelian variety / algebraic variety / 端末特異点 / 交叉コホモロジー群 / 双対化定理 / K3曲面 / 強レフシェッツ定理 / 楕円曲面 / 可換環 / リース環 / ブローアップ / Mordell-Weil group / elliptic curves / F-singularities / Q-curves / toric varieties / density theorems / class number / キーワード8 / キーワード7 / キーワード6 / 不定方程式 / 既均質ベクトル空間 / 可積分系 / 密着閉方 / F-特異点 / Q-曲線 / 類数 / Secant variety / Freudenthal varieties / Contact type gradtion / Symplectic triple systems / Adjoint varieties / Algebraic geometry / Vector bundles / Polarized varieties / secant多様体 / ガウス射 / ample vector bundle / fight・closure / 階数別Lie代数 / 等質射影多様体 / イニシャルイデアル / 定義方程式 / フロベニウス射 / symplectic3項系 / 階数別リー代数 / 射影多様体 / 射影幾何学 / symplectic triple systems / 複素単純リー代数 / 射影代数幾何 / symplectic triple system / 等質性 / 割線多様体 / Freudenthal多様体 / 接触型階数分解 / sumplectic triple system / 随伴多様体 / ベクトル束 / 偏極多様体 / ミンコフスキー和 / 幾何学 / 代数学 / 凸体 / ファノ多様体 / 代数多様本 / モティーフ / トーリック / 循環商特異点 Less
  • Research Projects

    (18 results)
  • Research Products

    (89 results)
  • Co-Researchers

    (27 People)
  •  Algebro-geometric study of iterated Frobenius direct images on del Pezzo surfaces in positive characteristicPrincipal Investigator

    • Principal Investigator
      原 伸生
    • Project Period (FY)
      2021 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  Global F-regularity, Fano variety and the finiteness of Frobenius direct imagesPrincipal Investigator

    • Principal Investigator
      Hara Nobuo
    • Project Period (FY)
      2016 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  Research on the structure of the Frobenius push-forwards on algebraic varieties and singularities in positive characteristicPrincipal Investigator

    • Principal Investigator
      Hara Nobuo
    • Project Period (FY)
      2013 – 2015
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokyo University of Agriculture and Technology
  •  Study on Minkowski sums of lattice polytoped and toric varieties

    • Principal Investigator
      OGATA Shoetsu
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Aspects of purely inseparable morphisms in algebraic geometryPrincipal Investigator

    • Principal Investigator
      HARA Nobuo
    • Project Period (FY)
      2010 – 2012
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku 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
  •  Study on equivariant mapps of toric varieties and vector bundles

    • Principal Investigator
      OGATA Shoetsu
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Algebro-Geometric Approach to Invariants in Commutative AlgebraPrincipal Investigator

    • Principal Investigator
      HARA Nobuo
    • Project Period (FY)
      2006 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Singurality Theory and Frobenius Morphism

    • Principal Investigator
      WATANABE Keiichi
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Study on integral convex polytopes and toric varieties

    • Principal Investigator
      OGATA Shoetsu
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Applications of tight closure and F-singularity to algebraic geometryPrincipal Investigator

    • Principal Investigator
      HARA Nobuo
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Number Theory and Geometry related to Algebraic Groups

    • Principal Investigator
      YUKIE Akihiko
    • Project Period (FY)
      2003 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Commutative ring theory and singularity theory

    • Principal Investigator
      WATANABE Keiichi
    • Project Period (FY)
      2001 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Algebro-Geometric Method in Commutative AlgebraPrincipal Investigator

    • Principal Investigator
      HARA Nobuo
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Number Theory and Geometry related to Algebraic Groups

    • Principal Investigator
      YUKIE Akihiko
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Research on duality theorems of modules on fans

    • Principal Investigator
      ISHIDA Masanori
    • Project Period (FY)
      2000 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  正標数の手法の特異点論と消滅定理への応用Principal Investigator

    • Principal Investigator
      原 伸生
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Encouragement of Young Scientists (A)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
      Waseda University
  •  Research on homogeneous projective varieties by Lie algebra and algebraic geometry

    • Principal Investigator
      YASUKURA Osami, 楫 元
    • Project Period (FY)
      1998 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Fukui University
      Waseda University

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All Journal Article Presentation Book

  • [Book] 代数曲線入門---はじめての代数幾何2004

    • Author(s)
      梶原健
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-15340001
  • [Book] 代数曲線入門-はじめての代数幾何2004

    • Author(s)
      梶原 健
    • Total Pages
      323
    • Publisher
      日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Book] 代数曲線入門-はじめての代数幾何2004

    • Author(s)
      梶原 健
    • Total Pages
      323
    • Publisher
      日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Book] 代数曲線入門-はじめての代数幾何-2004

    • Author(s)
      梶原健
    • Total Pages
      336
    • Publisher
      日本評論社
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] The FFRT property of two-dimensional normal graded rings and orbifold curves2020

    • Author(s)
      Hara Nobuo、Ohkawa Ryo
    • Journal Title

      Advances in Mathematics

      Volume: 370 Pages: 107215-107215

    • DOI

      10.1016/j.aim.2020.107215

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Journal Article] Structure of the F-blowups of simple elliptic singularities2015

    • Author(s)
      N. Hara
    • Journal Title

      J. Math. Sci. Univ. Tokyo

      Volume: 22 Pages: 193-218

    • NAID

      120006906130

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Journal Article] Looking out for Frobenius summands on a blown-up surface of P^22015

    • Author(s)
      N. Hara
    • Journal Title

      Illinois J. Math.

      Volume: 59 Pages: 115-142

    • Peer Reviewed / Acknowledgement Compliant
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Journal Article] F- blowups of normal surface singular- ities2013

    • Author(s)
      N. Hara, T. Sawada and T. Yasuda
    • Journal Title

      Algebra & Number Theory

      Volume: (印刷中)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] F-blowups of normal surface singularities2013

    • Author(s)
      N. Hara, T. Sawada, T. Yasuda
    • Journal Title

      Algebra Number Theory

      Volume: 7 Issue: 3 Pages: 733-763

    • DOI

      10.2140/ant.2013.7.733

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Journal Article] F-bolowups of F-regular surface singularities2012

    • Author(s)
      N. Hara
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 140 Pages: 2215-2216

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] F-blowups of F-regular surface Singularities, Proc2012

    • Author(s)
      N. Hara
    • Journal Title

      Amer. Math. Soc

      Volume: 140 Pages: 2215-2226

    • URL

      http://dx.doi.org/10.1090/S0002-9939-2011-11074-8

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] F-blowups of F-regular surfiace singularities2012

    • Author(s)
      N.Hara
    • Journal Title

      Proc.Amer.Math.Soc.

      Volume: (未定)(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] F-blowups of F-regular surface singularities2012

    • Author(s)
      原伸生
    • Journal Title

      Proc. Amer. Math. Soc

      Volume: 140 Pages: 2215-2216

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Journal Article] Splitting of Frobenius sandwiches2011

    • Author(s)
      N. Hara and T. Sawada
    • Journal Title

      in Higher dimensional Algebraic Geometry (editors: S. Mukai and N. Nakayama), RIMS kokyuroku Bessatsu

      Volume: B24 Pages: 121-141

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] Splitting of Frobenius sandwiches2011

    • Author(s)
      N.Hara, T.Sawada
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: B24 Pages: 121-141

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] F-pure thresholds and F-jumping exponents in dimension two2006

    • Author(s)
      N.Hara (Appendix by P.Monsky)
    • Journal Title

      Mathematical Research Letters 13

      Pages: 747-760

    • Data Source
      KAKENHI-PROJECT-18540007
  • [Journal Article] F-pure thresholds and F-jumping exponents in dimension two2006

    • Author(s)
      原 伸生
    • Journal Title

      Mathematical Research Letter 13

      Pages: 747-760

    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] F-pure thresholds and F-jumping exponents in dimension two, with an appendix by Paul Monsky2006

    • Author(s)
      N. Hara
    • Journal Title

      Mathematical Research Letters 13

      Pages: 747-760

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Journal Article] Abelian surfaces in projective 4-folds2006

    • Author(s)
      梶原 健
    • Journal Title

      Archiv der Mathematik 86

      Pages: 43-49

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] F-pure thresholds and F-jumping exponents in dimension two2006

    • Author(s)
      原 伸生
    • Journal Title

      Mathematical Research letter 13

      Pages: 747-760

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] F-pure thresholds and F-jumping exponents in dimension two, with an appendix by P. Monsky,2006

    • Author(s)
      N.Hara
    • Journal Title

      Mathematcal Research Letters 13

      Pages: 747-760

    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] F-pure thresholds and F-jumping exponents in dimension two2006

    • Author(s)
      N.Hara
    • Journal Title

      Math. Research Letter 13

      Pages: 747-760

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] A characteristic p analog of multiplier ideals and applications2005

    • Author(s)
      N.Hara
    • Journal Title

      Communications in Algebra 33

      Pages: 3375-3388

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] A characteristic p analog of multiplier ideals and applications2005

    • Author(s)
      原 伸生
    • Journal Title

      Communications in Algebra 33

      Pages: 3375-3388

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] A characteristic p analog of multiplier ideals and applications.2005

    • Author(s)
      N.Hara
    • Journal Title

      Comm.Algebra 33

      Pages: 3375-3388

    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] A characteristic p analog of multiplier ideals and applications,2005

    • Author(s)
      N.Hara
    • Journal Title

      Communications in Algebra 33・10

      Pages: 3375-3388

    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] A characteristic p analog of multiplier ideals and applications2005

    • Author(s)
      Nobuo Hara
    • Journal Title

      Communications in Algebra 33-3(掲載予定)

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] A characteristic p analog of multiplier ideals and applications2005

    • Author(s)
      原 伸生
    • Journal Title

      Communication in Algelora 33(印刷中)

    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] A characteristic p analog of multi-plier ideals and applications2005

    • Author(s)
      N.Hara
    • Journal Title

      Comm.Algebra 33

      Pages: 3375-3388

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] A characteristic p analog of multiplier ideals and applications2005

    • Author(s)
      N.Hara
    • Journal Title

      Comm. in Algebra 33

      Pages: 3375-3388

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] A characteristic p analog of multiplier ideals and applications2005

    • Author(s)
      Nobuo Hara
    • Journal Title

      Communications in Algebra 33

      Pages: 3375-3388

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] A generalization of test ideals,2004

    • Author(s)
      N.Hara, K.Yoshida
    • Journal Title

      Nagoya Math. J. 175

      Pages: 59-74

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] On a generalization of test ideals2004

    • Author(s)
      N.Hara
    • Journal Title

      Nagoya Math. J. 175

      Pages: 59-74

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] On a generalization of test ideals2004

    • Author(s)
      N.Hara, S.Takagi
    • Journal Title

      Nagoya Mathematical Journal 175

      Pages: 59-74

    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] On a generalization of test ideals2004

    • Author(s)
      N.Hara, S.Takagi
    • Journal Title

      Nagoya Math.J. 175

      Pages: 59-74

    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] On a generalization of test ideals2004

    • Author(s)
      原 伸生
    • Journal Title

      Nagoya Mathematical Journal 175

      Pages: 59-74

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540004
  • [Journal Article] On a generalization of test ideals2004

    • Author(s)
      N.Hara, S.Takagi
    • Journal Title

      Nagoya Math J. 175

      Pages: 59-74

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] A generalization of test ideals.2004

    • Author(s)
      N.Hara, K.Yoshida
    • Journal Title

      Nagoya Math.J. 175

      Pages: 59-74

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-15340001
  • [Journal Article] On a generalization of test ideals2004

    • Author(s)
      N.Hara, S.Takagi
    • Journal Title

      Nagoya Math.J. 175

      Pages: 59-74

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] On a generalization of test ideals2004

    • Author(s)
      N.Hara, S.Takagi
    • Journal Title

      Nagoya Mathematical Journal 175

      Pages: 59-74

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] A generalization of tight closure and multiplier ideals 355 (2003), 3143--3174.2003

    • Author(s)
      N.Hara, K.Yoshida
    • Journal Title

      Transaction of American Math.Soc. 355

      Pages: 3143-3174

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] A generalization of tight closure and multiplier ideals2003

    • Author(s)
      N.Hara, K.Yoshuda
    • Journal Title

      Trans.Amer.Math.Soc. vol 355

      Pages: 3143-3174

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] F-regular and F-pure rings vs.log terminal and log canonical singularities.2002

    • Author(s)
      N.Hara, K.Watanabe
    • Journal Title

      Journal of Algebraic Geometry vol 11

      Pages: 363-392

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] F-rationality of Rees algebras2002

    • Author(s)
      N.Hara, K.Watanabe, K.Yoshida
    • Journal Title

      Journal of Algebra vol 247

      Pages: 153-190

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] F-blowups of F-regular surface singularities

    • Author(s)
      N.Hara
    • Journal Title

      Proc.Amer.Math.Soc.

      Volume: (未定)(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] Splitting of Frobenius sandwiches

    • Author(s)
      N.Hara, T.Sawada
    • Journal Title

      RIMS Kokyuroku Bessatsu

      Volume: (未定)(掲載確定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Journal Article] F-blowups of F-regular surface singularities

    • Author(s)
      N. Hara
    • Journal Title

      Proc. AMS

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19340001
  • [Presentation] Looking out for Frobenius summands on a quintic del Pezzo surface2023

    • Author(s)
      原伸生
    • Organizer
      研究集会「代数幾何学とその周辺の話題」
    • Invited
    • Data Source
      KAKENHI-PROJECT-21K03157
  • [Presentation] Frobenius summands on a quintic del Pezzo surface in positive characteristic2019

    • Author(s)
      原 伸生
    • Organizer
      東京可換環論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Presentation] Frobenius summands on a quintic del Pezzo surface in positive characteristic2019

    • Author(s)
      原 伸生
    • Organizer
      研究集会「射影多様体の幾何とその周辺2019」
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Presentation] Self-dual Frobenius summands on a quintic del Pezzo surface2019

    • Author(s)
      Nobuo Hara
    • Organizer
      OIST/RIMS Workshop: On the problem of Resolution of Singularities and Its Vicinity
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Presentation] The finite F-representation type of surface singularities via orbifold curves2018

    • Author(s)
      原 伸生
    • Organizer
      第5回 代数幾何研究集会ー宇部ー
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Presentation] On Frobenius summands of graded rings2018

    • Author(s)
      原伸生
    • Organizer
      代数学シンポジウム
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Presentation] Frobenius push-forwards on weighted projective lines and the FFRT property of surface singularities2017

    • Author(s)
      原 伸生
    • Organizer
      代数幾何ミニ研究集会
    • Place of Presentation
      埼玉大学理学部
    • Year and Date
      2017-03-06
    • Invited
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Presentation] A few remarks on Frobenius summands on rational surfaces2016

    • Author(s)
      Nobuo Hara
    • Organizer
      Younger Generation in Algebraic Geometry and Complex Geometry
    • Place of Presentation
      National Taiwan University,台北市(中華民国)
    • Year and Date
      2016-01-14
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Presentation] Frobenius push-forwards on weighted projective lines and the FFRT property of surface singularities2016

    • Author(s)
      Nobuo Hara
    • Organizer
      正標数セミナー
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2016-11-29
    • Data Source
      KAKENHI-PROJECT-16K05092
  • [Presentation] A few remarks on Frobenius summands on rational surfaces2015

    • Author(s)
      原 伸生
    • Organizer
      RIMS研究集会「特異点と不変量」
    • Place of Presentation
      京都大学数理解析研究所(京都市)
    • Year and Date
      2015-12-15
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Presentation] Looking out for Frobenius summands on certain rational surfaces2014

    • Author(s)
      原伸生
    • Organizer
      正標数セミナー
    • Place of Presentation
      東大数理
    • Year and Date
      2014-11-17
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Presentation] Looking out for Frobenius summands on certain rational surfaces2014

    • Author(s)
      原伸生
    • Organizer
      研究集会「代数多様体とその周辺」
    • Place of Presentation
      琉球大学
    • Year and Date
      2014-09-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Presentation] フロベニウス直像とF爆発に関する幾つかの問題2013

    • Author(s)
      原伸生
    • Organizer
      杜の都代数幾何学研究集会
    • Place of Presentation
      東北大学
    • Year and Date
      2013-02-14
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] フロベニウス直像とF 爆発に関する幾つかの問題2013

    • Author(s)
      原伸生
    • Organizer
      杜の都代数幾何学研究集会
    • Place of Presentation
      東北大
    • Year and Date
      2013-02-14
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] Structure of the F-blowups of simple elliptic singularities2012

    • Author(s)
      原伸生
    • Organizer
      RIMS 研 究集会「高次元双有理幾何の周辺」
    • Place of Presentation
      京都大学
    • Year and Date
      2012-06-12
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] Structure of the F-blowups of simple elliptic singularities2012

    • Author(s)
      原伸生
    • Organizer
      高次元代数幾何の周辺
    • Place of Presentation
      京都数研
    • Year and Date
      2012-06-12
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] F-blowups of F-regular surface singularities2011

    • Author(s)
      原伸生
    • Organizer
      日本数学会年会
    • Place of Presentation
      早稲田大学(アブストラクト原稿の み)
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] Aspects of F-regularity-old and new-2011

    • Author(s)
      原伸生
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      岡山大学
    • Year and Date
      2011-08-09
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] F-blowups of F-regular surface singularities2011

    • Author(s)
      原伸生
    • Organizer
      日本数学会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2011-03-23
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] F-blowups of normal surface singularities2011

    • Author(s)
      N.Hara
    • Organizer
      Workshop on Algebraic Geometry in Positive Characteristic
    • Place of Presentation
      韓国高等研究所(KIAS),韓国
    • Year and Date
      2011-05-26
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] F-blowups of normal surface Singularities2011

    • Author(s)
      N. Hara
    • Organizer
      Workshop on Algebraic Geometry in Positive Characteristic
    • Place of Presentation
      KIAS, 韓国
    • Year and Date
      2011-05-26
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] Aspects of F-regularity -old and new-2011

    • Author(s)
      原伸生
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      岡山大
    • Year and Date
      2011-08-09
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] F-blowups of F-regular surface Singularities2011

    • Author(s)
      原伸生
    • Organizer
      研究集会「ファノ多様体 と正標数の話題を中心として」
    • Place of Presentation
      九州大学
    • Year and Date
      2011-02-11
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] F-blowups of normal surface singularities2011

    • Author(s)
      原伸生
    • Organizer
      KIAS
    • Place of Presentation
      ソウル, 韓国
    • Year and Date
      2011-05-26
    • Data Source
      KAKENHI-PROJECT-23540038
  • [Presentation] F-blowups of F-regular surface singularities2011

    • Author(s)
      原伸生
    • 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
    • Year and Date
      2011-02-21
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] Aspects of F-regularity-old and new2011

    • Author(s)
      原伸生
    • Organizer
      代数学シンポジウム
    • Place of Presentation
      岡山大学
    • Year and Date
      2011-08-09
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] F-blowups of certain Frobenius sandwich singularities and rational double points2010

    • Author(s)
      N.Hara
    • Organizer
      Fudan-Tohoku joint workshop on algebraic geometry
    • Place of Presentation
      復旦大学、上海,中国
    • Year and Date
      2010-06-01
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] F-blowups of certain Frobenius sandwich singularities and rational double points2010

    • Author(s)
      N. Hara
    • Organizer
      Fudan-Tohoku Joint Workshop on Algebraic Geometry
    • Place of Presentation
      復旦大学,中国
    • Year and Date
      2010-06-01
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] 付値環に関するある有限性について2010

    • Author(s)
      梶原健
    • Organizer
      研究集会「トロピカル幾何と計算代数」
    • Place of Presentation
      神戸大学理学部
    • Year and Date
      2010-01-04
    • Data Source
      KAKENHI-PROJECT-19340001
  • [Presentation] F-特異点とその応用2008

    • Author(s)
      原伸生
    • Organizer
      玉原代数幾何セミナー2008
    • Place of Presentation
      東京大学玉原国際セミナーハウス
    • Year and Date
      2008-08-11
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Strong F-regularity vs. log terminal singularity in non-Q-Gorenstein case2008

    • Author(s)
      Nobuo Hara
    • Organizer
      Commutative Algebra and Its Interactions A conference in honor of Mel Hochster
    • Place of Presentation
      University of Michigan(アメリカ)
    • Year and Date
      2008-08-04
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Strong F-regularity vs.log ter-minal singularity in non-Q-Gorenstein case2008

    • Author(s)
      N. Hara
    • Organizer
      Commutative Algebra and its Interactions, A conference in honor of Mel Hochster
    • Place of Presentation
      University of Michigan, USA
    • Year and Date
      2008-08-04
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Bound for Frobenius destabilized semistable bundles and Harder-Narasi-mhan filtrations in characteristic p(after Langer, Shepherd-Barron et.al.)2007

    • Author(s)
      原伸生
    • Organizer
      代数幾何学都留ワークショップ
    • Place of Presentation
      都留文科大学
    • Year and Date
      2007-09-27
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Bound for Frobenius destabilized semistable bundles and Harder-Narasimhan filtrations in characteristic p2007

    • Author(s)
      原 伸生
    • Organizer
      代数幾何学 都留ワークショップ
    • Place of Presentation
      都留文科大学
    • Year and Date
      2007-09-27
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Multiplier idealの標数0の手法と標数$p$の手法及びその応用I2006

    • Author(s)
      原伸生
    • Organizer
      短期共同研究集会"Arc Spaces and Multiplier Ideals"
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-08-28
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Multiplier idealの標数0の手法と標数$p$の手法及びその応用II2006

    • Author(s)
      原伸生
    • Organizer
      短期共同研究集会"Arc Spaces and Multiplier Ideals"
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2006-08-29
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Characteristic p method : F-sin- gularities, ARCC Workshop "Numerical Invariants of Singularities and Higher-Dimensional Algebraic Varieties,"2006

    • Author(s)
      N. Hara
    • Organizer
      Ameri-can Institute of Mathematics
    • Place of Presentation
      Palo Alto, USA
    • Year and Date
      2006-08-01
    • Data Source
      KAKENHI-PROJECT-18540007
  • [Presentation] Structure of the F-blowups of simple elliptic singularities

    • Author(s)
      原 伸生
    • Organizer
      RIMS研究集会『高次元代数幾何の周辺』
    • Place of Presentation
      京都大学
    • Data Source
      KAKENHI-PROJECT-22540039
  • [Presentation] The iterated Frobenius push-forward on rational surfaces

    • Author(s)
      Nobuo Hara
    • Organizer
      Birational Geometry and Singularities in Positive Characteristic
    • Place of Presentation
      東京大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Presentation] Stabilization of Frobenius push-forward and the F-blowup sequence

    • Author(s)
      Nobuo Hara
    • Organizer
      The Commutative Algebra of Singularities in Birational Geometry
    • Place of Presentation
      Mathematical Sciences Research Institute, Berkeley, USA
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Presentation] Stabilization of Frobenius push-forward and F-blowup sequence

    • Author(s)
      原伸生
    • Organizer
      代数幾何学城崎シンポジウム
    • Place of Presentation
      兵庫県立城崎大会議館
    • Invited
    • Data Source
      KAKENHI-PROJECT-25400035
  • [Presentation] フロベニウス直像とF爆発に関する幾つかの問題

    • Author(s)
      原 伸生
    • Organizer
      杜の都代数幾何学研究集会
    • Place of Presentation
      東北大学
    • Data Source
      KAKENHI-PROJECT-22540039
  • 1.  ISHIDA Masanori (30124548)
    # of Collaborated Projects: 11 results
    # of Collaborated Products: 0 results
  • 2.  OGATA Shoetsu (90177113)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 3.  KAJIWARA Takeshi (00250663)
    # of Collaborated Projects: 7 results
    # of Collaborated Products: 6 results
  • 4.  YOSHIDA Ken-ichi (80240802)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  WATANABE Keiichi (10087083)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 2 results
  • 6.  YUKIE Akihiko (20312548)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  HANAMURA Masaki (60189587)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 8.  YASUKURA Osami (00191122)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  NAKAMURA Tetsuo (90016147)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  TOMARI Masataka (60183878)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 11.  FUKUDA Takuo (00009599)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 12.  KURANO Kazuhiko (90205188)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 13.  ASHIKAGA Tadashi (90125203)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  TSUCHIHASHI Hiroyasu (00146119)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  TAKAHASHI Tomokuni (50259793)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  SATO Hiroshi (20433310)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  MAEDA Hidetoshi (10229312)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 18.  SATO atsushi (30241516)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  ITO Hiroyuki (60232469)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  MOTEGI Kamahi (40219978)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 21.  TAKAGI Shunsuke (40380670)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 22.  楫 元 (70194727)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  野間 淳 (90262401)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  森田 康夫 (20011653)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  長谷川 浩司 (30208483)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  鈴木 正彦 (00171249)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  橋本 光靖 (10208465)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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