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Watanabe Keiichi  渡辺 敬一

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Watanabe Kei-ichi  渡辺 敬一

WATANABE Keiichi  渡辺 敬一

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Researcher Number 10087083
Other IDs
External Links
Affiliation (Current) 2025: 明治大学, 研究・知財戦略機構(生田), 研究推進員(客員研究員)
Affiliation (based on the past Project Information) *help 2020 – 2023: 明治大学, 研究・知財戦略機構(生田), 研究推進員(客員研究員)
2017: 日本大学, 文理学部, 上席研究員
2013 – 2016: 日本大学, 文理学部, 研究員
1997 – 2014: Nihon Univ., College of Humanities and Sciences, Professor, 文理学部, 教授
1989 – 1996: 東海大学, 理学部, 教授 … More
1992: 東海大学, 情報数理, 教授
1988: 東海大学, 理学部情報数理学科, 教授
1987: 東海大学, 理学部, 教授
1986: NAGOYA INSTITUT OF TECHNOLOGY, 工学部, 助教授 Less
Review Section/Research Field
Principal Investigator
Algebra / Algebra / Basic Section 11010:Algebra-related / 代数学・幾何学
Except Principal Investigator
Algebra / Algebra / General mathematics (including Probability theory/Statistical mathematics) / 代数学・幾何学 / Basic analysis
Keywords
Principal Investigator
整閉イデアル / F-regular ring / rational singularity / 有理特異点 / Hilbert-Kunz multiplicity / F-rational ring / Frobenius写像 / 特異点 / F-threshold / tight closure … More / Frobenius map / 可換環論 / multiplier ideal / 重複度 / 特異点の解消 / log terminal singularity / Hilbert-Kunz重複度 / F-pure / Hilbert-Kunz 重複度 / lc threshold / log-terminal singularity / Gorenstein 環 / 正規特異点 / totally reflexive module / Frobenius endomorphism / F-pure threshold / integral closure / multiplicity / regular ring / Hilbert-Kung multiplicity / regular local ring / terminal singularity / 特異点解消 / integrally closed ideal / Gorenstein ring / elliptic singularity / log resolution / integrally closed ideals / 半群環 / jumping number / test ideal / 整閉包 / 乗数イデアル / 特異点論 / 代数学 / 正則局所環 / blowing-up / F-pure ring / F 特異点 / 可換環 / Segre Product / Normal reduction Number / Almost Gorenstein ring / FFRT / Normal tangent cone / Integrally Closed ideal / Ideal Theory / Commutative Ring / Girenstein 環 / normal reduction number / inverse polynomial / numerical semigroup / elliptic ideal / normal Rees algebra / normal Hilbert function / Inverse polynomial / F-signature / Hilbert-Kubz 重複度 / reduction numbers / 数値半群 / 楕円型特異点 / 還元数 / F-正則対 / jumping coefficient / 標数p>0の手法 / totally reflexive加群 / F-有理環 / 商特異点 / blowing up / subadditivity / 素元分解環 / 全座標環 / Chow群 / Seifelt手術 / UFD / thight closure / log terminal Singularity / integrall closed ideals / rational singularities / Veronese sub rings / tight closure (of ideals) / good ideals / Mac Kay correspondence / Terminal Singularity / Singularities / Algebraic Geometry / canonical singularity / F-terminal ring / GNentein ring / geometric genus / F-teruinal ring / terninal singularity / (例外因子の)discropanciy / 例外因子 / singularities (特異点論) / algebraic geometry (代数幾何学) / commutative ring theory (可挽環論) / good ideal / Ulrich イデアル / core / Rees 環 / イデアルの core / 整閉イデアル / 局所環 / イデアルの core / 数値的半群 / Local ring / surface singularity / Local rings / Singularity / 一般化された test ideal / jet scheme / F-rational / a 不変量 / F-pure rings / 環論 / 代数幾何 / coefficient ideal / Gorenstein環 / a-invariant / 次数付環 / 正標数の手法 / 代数幾何学 / multiplicr ideal / toric ring / Riemann-Rochの公式 / Boutot's Theorem / cohomology group / link / graded ring / regulan ring / Fーpure ring / Fーrational ring / Fーregular ring … More
Except Principal Investigator
特異点 / multiplier ideal / tight closure / 密着閉包 / discrepancy / singularities / 重複度 / 代数幾何学 / arc space / jet scheme / multiplicity / geometric genus / 乗数イデアル / 特異点解消 / フロベニウス写像 / フィルター付きブロウイングアップ / F-threshold / 有理特異点 / singularity / Hilbert-Kunz multiplicity / F-regular / Hilbert-Kunz重複度 / filtered blowing-up / resolution of singularities / 3次元端末特異点 / toric variety / Rees algebra / algebraic geometry / F-singularity / Rees環 / 正標数 / 判定イデアル / F-特異点 / 代数幾何 / Bass orders / Rees代数 / Algebraic Geometry / 可換環論 / graded ring / rational singularity / 代数的スタック / 幾何種数 / ジェットスキーム / 弧空間 / 交グラフ / 組合せ論 / グラフ理論 / フラクタル / 楕円曲線のMordell-Weil群の階数について / universal abelican covering / 2-dimensional singularity / 3-dimensional terminal singularity / elliptic singularity / 3次元端末的特異点 / implicit differential systems / multiplierイデアル / 整閉イデアルの対数的特異点解消 / 2次元楕円型特異点 / 完全交叉性 / ベロネーゼ部分環 / 2次元特異点 / 普遍アーベル被覆 / 次元特異点 / 楕円型特異点 / Stanley・Reisner rings / Buchsbaum rings / ブックスバウム環 / スタンレー・リースナー環 / 線型自由分解 / ヒルベルト・クンツ重複度 / lineal resolution / Alexander duality / F-pure / Cohen-Macaulay / Stanley-Reisner ring / Buchsbaum ring / Stanley-Reisner環 / Buchsbaum環 / F正則環 / tropical geometry / 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 / トロピカル幾何 / トーリック多様体 / F-純閾値 / blow-up / Frobenius map / F-rational / Ress環 / ブローアップ / F有理性 / F正則性 / associated graded rings / order function of local rings / algebraic stacks / Gluck surgery / 3-dimensional terminal singularities / plurigenus / Dehn手術 / 4次元多様体 / 双正則同形問題 / フリップの存存定理 / フィルター付ブロウイングアップ / 付随次数付き環 / 局所環の位数関数 / Gluck手術 / 多重種数 / moduli spase / plurigenera / multipier ideal / complete intersection / integral closed / moduli space / jet scjeme / commutative algebra / positive characteristic / test ideal / Tight closure / F-有理(F-rational) / F-正則(F-regular) / F-正則 / 記号的ベキ乗 / 随伴束 / Subadditivity / 密着閉包(I-密着閉包) / Brownian motion / random number / fractal / Perron-Frobenius Operator / ergodic theory / 混合性 / エルゴード性 / Perron-Frobenius作用素 / スペクトル / ブラウン運動 / 乱数 / ペロン-フロベニウス作用素 / エルゴード理論 / Representation Theory / Group Theory / Ring Theory / Number Theory / 解析数論 / 整数論 / 代数学 / 数論的幾何学 / 表現論 / 群論 / 環論 / 数論 / quasiperiodic solution / Diophantine inequality / Lissajous boundary condition / one-dimensional wave equation / Lefschetz condition / general element / Artinian Gorenstein algebra / Artinian complete intersection / 生成系 / Hessian / Catalecticant / Hard Lefschetz / ゴレンスタイン環 / アルチン環 / 可換代数 / Denjoy-Herman-Yoccoz理論 / Diophantine近似 / 周期的に動く境界条件 / 1次元波動方程式 / 弦の振動 / Lissajous境界条件 / O次元ゴレンスタイン環 / O次元完全交差環 / 準周期解 / ディオファントス近似不等式 / Lissajuus境界条件 / 一次元波動方程式 / レフシェツ条件 / 一般元 / 0次元ゴレンスタイン環 / 0次元完全交差環 / Zariski's problem / Frobenius algebras / Rees algebras / Cohen-Macaulay modules / local rings / 有限次元多元環の表現論 / 表現型 / 整環 / 有限次元多元環 / Gorenstein環 / Cohen-Macaulay環 / Zariskiの問題 / Ress代数 / Cohen-Macaulay加群 / Zarisikiの問題 / Frobenius代数 / Cohen-Maculay加群 / 局所環 / Moduli / Vector Bundle / Stable Sheaves / Conformal Field Theory / Kahler Manifold / Classification of Algebraic Varieties / Algebraic Variety / 放物束 / Hodge-理論 / 算術的代数多様体 / モジュライ / 代数様体 / 算術的代数幾何学 / ホッジ理論 / モデュライ理論 / 代数多様体の変形 / モデュライ / ベクトル束 / 安定層 / 共形場理論 / Kahler多様体 / 代数多様体の分類 / 代数多様体 / monotone likelihood / TP_2 / マルコフ行列 / 状態監視保全 / 教育用ソフト / アルゴリズム / 線形代数学 / データベース / log-canonical singularity / Frobenius 射 / 食い違い数 / 極小対数的食い違い数 / stack / exceptional log canonical singularity / 字数付き環 / ベロネーゼ環 / ニュートン境界 / simple K3特異点 / 超曲面特異点 / 重複度予想 / F-thresholds / 中心フィルトレーション / 非退化完全交差式 / 単純K3特異点 / 2次元星型特異点 / ブロウイングアップ / 極大イデアルサイクル / 基本サイクル / ゴレンスタイン性 / integnally closedjlul / log-canonical threshold / integrally closed ideal / lc-threshold / ジェット空間 / 双有理幾何学 / poset / edge clique cover / lower bound graph / upper bound graph / 階層環 / 反鎖交数 / ボンド束 / 教授順序の最適性 / ジャンプナンバー問題 / NP-完全問題 / エルホ(el-tree) / 系統樹の最節約復元 / Shifted Complex / 2周期点 / 不動点 / チェビシェフ多項式 / カオス / 複素共役 / 複素力学系 / 2変数 Less
  • Research Projects

    (35 results)
  • Research Products

    (266 results)
  • Co-Researchers

    (80 People)
  •  Commutative Ring theory using tools of Singularity TheoryPrincipal Investigator

    • Principal Investigator
      渡辺 敬一
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Meiji University
  •  Commutative Ring Theory via Resolution of SingularitiesPrincipal Investigator

    • Principal Investigator
      Watanabe Kei-ichi
    • Project Period (FY)
      2020 – 2022
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11010:Algebra-related
    • Research Institution
      Meiji University
  •  Commutative Ring Theory of SingularitiesPrincipal Investigator

    • Principal Investigator
      WATANABE Keiichi
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Commutative Ring Theory of Singularities of Algebraic VarietiesPrincipal Investigator

    • Principal Investigator
      WATANABE Kei-ichi
    • Project Period (FY)
      2011 – 2013
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Singularities on algebraic varieties

    • Principal Investigator
      ISHII Shihoko
    • Project Period (FY)
      2010 – 2014
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      The University of Tokyo
  •  Characteristic p method in singularity theoryPrincipal Investigator

    • Principal Investigator
      WATANABE Keichi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Research on the singularities of a variety

    • Principal Investigator
      ISHII Shihoko
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Classification of isolated singularities by means of algebraic geometric studies of invariants

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2006 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Singurality Theory and Frobenius MorphismPrincipal Investigator

    • 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
  •  Applications of tight closure and F-singularity to algebraic geometry

    • 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
  •  Research for multiplicities and tight closures on singular points of positive characteristic

    • Principal Investigator
      YOSHIDA Kenichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  Filtered blowing-up of local rings and algebraic geometric classification of singularities

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2004 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Research on singularities of a variety

    • Principal Investigator
      ISHII Shihoko
    • Project Period (FY)
      2002 – 2005
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tokyo Institute of Technology
  •  Filtered blowing-up of singularities and algebraic geometric properties of tangent cone

    • Principal Investigator
      TOMARI Masataka
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nihon University
      Kanazawa University
  •  On ring-theoretical properties of blow-up rings over singular points in positive characteristic

    • Principal Investigator
      YOSHIDA Ken-ichi
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Nagoya University
  •  整閉イデアルの族の研究Principal Investigator

    • Principal Investigator
      渡辺 敬一
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Algebra
    • Research Institution
      Nihon University
  •  Commutative ring theory and singularity theoryPrincipal Investigator

    • 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 Algebra

    • 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
  •  Study of relations and applications of Arithmetic Geometry to branches of Algebra

    • Principal Investigator
      MORITA Yasuo
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      Tohoku University
  •  Research on ergodic theory and Perron-Frobenius operator

    • Principal Investigator
      MORI Makoto
    • Project Period (FY)
      2000 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Nihon University
  •  Characteristic p method in singularity theoryPrincipal Investigator

    • Principal Investigator
      WATANABE Keiichi
    • Project Period (FY)
      1998 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      NIHON UNIVERSITY
  •  Upper bound graphとposetの関連について

    • Principal Investigator
      土屋 守正
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokai University
  •  Applications of Frobenius map to Commutative Ring Theory and Algebraic GeometryPrincipal Investigator

    • Principal Investigator
      WATANABE Keiichi
    • Project Period (FY)
      1995 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      NIHON UNIVERSITY
      Tokai University
  •  F-rational Ringの研究Principal Investigator

    • Principal Investigator
      渡辺 敬一
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokai University
  •  Study on algebras and their representations

    • Principal Investigator
      AKIBA Tomoharu, YOSHINO Yuji
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Algebra
    • Research Institution
      KYOTO UNIVERSITY
  •  Commutative Artinian Algebras

    • Principal Investigator
      YAMAGUCHI Masaru, 渡辺 純三
    • Project Period (FY)
      1994 – 1996
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokai University
  •  Frobenius写像の特異点への作用Principal Investigator

    • Principal Investigator
      渡辺 敬一
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Tokai University
  •  数え上げ組合せ論の鎖数の研究

    • Principal Investigator
      成嶋 弘
    • Project Period (FY)
      1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokai University
  •  Algebra and Geometry on Algebraic Varieties

    • Principal Investigator
      MARUYAMA Masaki
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      代数学・幾何学
    • Research Institution
      KYOTO UNIVERSITY
  •  Intersection Graphの研究

    • Principal Investigator
      土屋 守正
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokai University
  •  有理特異点とFrobenius写像の作用Principal Investigator

    • Principal Investigator
      渡辺 敬一
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      Tokai University
  •  エントロピ-とブラクタルと無限行列の関連

    • Principal Investigator
      内村 桂輔
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokai University
  •  状態監視保全の数理モデルとその最適性に関する研究

    • Principal Investigator
      鈴木 和幸
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokai University
  •  データベースを土台にした大学の数学における自習システムと言語の開発

    • Principal Investigator
      永瀬 輝男
    • Project Period (FY)
      1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Tokai University
  •  On the Rang of Mordell-Well group of Elliptic curves.

    • Principal Investigator
      MIWA Megumu
    • Project Period (FY)
      1985 – 1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      代数学・幾何学
    • Research Institution
      NAGOYA INSTITUT OF TECHNOLOGY

All 2024 2023 2022 2021 2020 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 Other

All Journal Article Presentation Book

  • [Book] 可換環論2011

    • Author(s)
      後藤四郎,渡辺敬一
    • Total Pages
      350
    • Publisher
      日本評論社
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Book] 群論の進化2004

    • Author(s)
      堀田, 渡辺, 庄司, 三町
    • Total Pages
      445
    • Publisher
      朝倉書店
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Book] 環と体2002

    • Author(s)
      渡辺 敬一
    • Total Pages
      180
    • Publisher
      朝倉書店
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] Inverse polynomials of numerical semigroup rings2024

    • Author(s)
      Eto Kazufumi、Watanabe Kei-ichi
    • Journal Title

      Journal of Algebra

      Volume: 644 Pages: 329-350

    • DOI

      10.1016/j.jalgebra.2024.01.006

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23K03040
  • [Journal Article] Lower bounds on Hilbert-Kunz multiplicities and maximal F-signatures2022

    • Author(s)
      JACK JEFFRIES, YUSUKE NAKAJIMA, ILYA SMIRNOV, KEI-ICHI WATANABE , KEN-ICHI YOSHIDA
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 174 Issue: 2 Pages: 247-271

    • DOI

      10.1017/s0305004122000238

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K14279, KAKENHI-PROJECT-20K03522, KAKENHI-PROJECT-19K03430
  • [Journal Article] Normal Hilbert coefficients and elliptic ideals in normal two-dimensional singularities2022

    • Author(s)
      Okuma, Tomohiro and Rossi, Maria Evelina and Watanabe, Kei-ichi and Yoshida, Ken-ichi
    • Journal Title

      Nagoya Mathematical Journal

      Volume: - Pages: 1-22

    • DOI

      10.1017/nmj.2022.5

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17K05216, KAKENHI-PROJECT-19K03430, KAKENHI-PROJECT-21K03215, KAKENHI-PROJECT-20K03522
  • [Journal Article] Hilbert-Kunz density function for graded domains2022

    • Author(s)
      Trivedi Vijaylaxmi、Watanabe Kei-Ichi
    • Journal Title

      Journal of Pure and Applied Algebra

      Volume: 226 Issue: 2 Pages: 106835-106835

    • DOI

      10.1016/j.jpaa.2021.106835

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Journal Article] The strong Rees property of powers of the maximal ideal and Takahashi-Dao's question,2021

    • Author(s)
      T. Puthenpurakal, K. Watanabe. K. YOshida
    • Journal Title

      Journal of Algebra

      Volume: 571 Pages: 297-315

    • DOI

      10.1016/j.jalgebra.2018.07.028

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Journal Article] Hilbert-Kunz density functions and F-thresholds,2021

    • Author(s)
      V. Trivedi and K. Watanabe
    • Journal Title

      Journal of Algebra

      Volume: 567 Pages: 533-563

    • DOI

      10.1016/j.jalgebra.2020.09.025

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Journal Article] Homogeneous prime elements in normal two-dimensional graded rings2020

    • Author(s)
      Anurag Singh; Ryo Takahashi; Kei-ichi Watanabe
    • Journal Title

      Journal of Algebra

      Volume: 0 Pages: 0-0

    • DOI

      10.1016/j.jalgebra.2018.07.012

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16K05098, KAKENHI-PROJECT-16KK0099, KAKENHI-PROJECT-20K03522, KAKENHI-PROJECT-19K03443
  • [Journal Article] A characterization of two-dimensional rational singularities via Core of ideals2018

    • Author(s)
      T. Okuma, K. Watanabe, K. Yoshida
    • Journal Title

      Journal of Algebra

      Volume: 499 Pages: 450-468

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Journal Article] Rees algebras and p_g-ideals in a two-dimensional normal local domain2017

    • Author(s)
      T.Okuma, K.Watanabe, K.YOshida
    • Journal Title

      Proc. Americam Math. Soc.

      Volume: 145 Pages: 39-47

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Journal Article] Good ideals and $p_g$-ideals in a two-dimensional normal singularities2016

    • Author(s)
      T.Okuma, K. Watanabe, K. Yoshida
    • Journal Title

      Manuscripta mathematica

      Volume: 未定 Issue: 3-4 Pages: 499-520

    • DOI

      10.1007/s00229-016-0821-7

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-26400053, KAKENHI-PROJECT-26400064, KAKENHI-PROJECT-15H02057, KAKENHI-PROJECT-16K05110
  • [Journal Article] Some computations of generalized Hilbert-Kunz function and multiplicity,2016

    • Author(s)
      H. Dao, K. Watanabe
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 144 Pages: 3199-3206

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Journal Article] Upper bound of multiplicity of F-rational rings and F-pure rings,2015

    • Author(s)
      C. Huneke and K. Watanabe
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 142 Pages: 5021-5026

    • Peer Reviewed / Acknowledgement Compliant / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Journal Article] Classification of 2-dimensional normal graded hypersurfaces2014

    • Author(s)
      K. Watanabe
    • Journal Title

      Bull. Brazilian Math. Soc.

      Volume: 45 Pages: 887-920

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Journal Article] F 特異点 -- 正標数の手法の特異点論への応用2014

    • Author(s)
      高木俊輔 - 渡辺敬一
    • Journal Title

      数学

      Volume: 66 Pages: 1-30

    • NAID

      130006882583

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Journal Article] Ulrich ideals and modules2014

    • Author(s)
      S. Goto, Kazuho Ozeki, , Ryo Takahashi, Kei-ichi Watanabe, Ken-ichi . Yoshida
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: vol.156 Pages: 137-166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] F-thresholds vs. a-invariants for homogeneous toric rings2014

    • Author(s)
      Daisuke Hirose, Kei-ichi Watanabe, Ken-ichi . Yoshida
    • Journal Title

      Communications in Algebra

      Volume: vol 42 Pages: 2704-2720

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Upper bound of multiplicity of F-rational rings and F-pure rings,2014

    • Author(s)
      C. Huneke, K. Watanabe
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: To appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] F特異点--正標数の手法の特異点論への応用2014

    • Author(s)
      高木俊輔・渡辺敬一
    • Journal Title

      「数学」(日本数学会)

      Volume: 66巻 Pages: 1-30

    • NAID

      130006882583

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Ulrich ideals and modules2014

    • Author(s)
      S. Goto, K. Ozeki, R. Takahashi, K. Watanabe, K. Yoshida
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 156 Pages: 137-166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Ulrich ideals and modules2014

    • Author(s)
      S. Goto, K. Ozeki, R. Takahashi, K. Watanabe, K. Yoshida
    • Journal Title

      Mathematical Proceedings of the Cambridge Philosophical Society

      Volume: 156 Pages: 137-166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Journal Article] F-thresholds vs. a-invariants for homogeneous toric rings2014

    • Author(s)
      D. Hirose, K. Watanabe, K. Yoshida
    • Journal Title

      Communications in Algebra

      Volume: 42 Pages: 2704-2720

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Jet schemes of homogeneous hypersurfaces2012

    • Author(s)
      S.Ishii(with K-i. Watanabe, A.Sannai)
    • Journal Title

      Singularities in Geometry and Topology, Strasbourg 2009, IRMA Lectures in Mathematics and Theoretical Physics

      Volume: 20 Pages: 39-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Journal Article] A variant of Wang's theorem,2012

    • Author(s)
      Kei-ichi Watanabe, Ken-ichi Yoshida
    • Journal Title

      Journal of Algebra

      Volume: 369 Pages: 129-145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Genus of numerical semigroups generated by three elements,2012

    • Author(s)
      K.-i. Watanabe (with Hirokatsu Nari, Takahiro Numata).
    • Journal Title

      J. of Algebra

      Volume: 358 Pages: 67-73

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Journal Article] Jet schemes of homogeneous hypersurfaces,2012

    • Author(s)
      Shihoko Ishii, Akiyoshi Sannnai, Kei-ichi Watanabe
    • Journal Title

      IRMA Lectures in Mathematics and Theoretical Physics , European Mathematical Society

      Volume: 20 Pages: 39-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Genus of numerical semigroups generated by three elements,2012

    • Author(s)
      H. Nari, T. Numata, K. Watanabe
    • Journal Title

      Jouranal of Algebra

      Volume: 358 Pages: 67-73

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Genus of numerical semigroups generated by three elements,2012

    • Author(s)
      Hirokatsu Nari, Takahiro Numata, Kei-ichi Watanabe
    • Journal Title

      Journal of Algebra

      Volume: 358 Pages: 67-73

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Genus of numerical semigroups generated by three elements2012

    • Author(s)
      Hirokatsu Nari, Takahiro Numata, Kei-ichi Watanabe
    • Journal Title

      J. of Algebra

      Volume: vol.358 Pages: 67-73

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] A variant of Wang's theorem2012

    • Author(s)
      K.-i. Watanabe (with K. Yoshida),
    • Journal Title

      J. of Algebra

      Volume: 369 Pages: 129-145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Journal Article] A variant of Wang's theorem2012

    • Author(s)
      Kei-ichi Watanabe, Ken-ichi . Yoshida
    • Journal Title

      J. of Algebra

      Volume: vol.369 Pages: 129-145

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Jet schemes of homogeneous hypersurfaces, "Singularities in Geometry and Topology, Strasbourg 2009"2012

    • Author(s)
      Shihoko Ishii, Akiyoshi Sannai, Kei-ichi Watanabe
    • Journal Title

      IRMA Lectures in Mathematics and Theoretical Physics 20, European Mathematical Society

      Pages: 39-49

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Multiplicity bounds in graded ring2011

    • Author(s)
      C.Huneke, S.Takagi, K.Watanabe
    • Journal Title

      Kyoto J.math.

      Volume: 51 Pages: 127-147

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Journal Article] F-signature of graded Gorenstein rings2011

    • Author(s)
      K.Watanabe, A.Sannai
    • Journal Title

      J.Pure and Appl.Algebra. in press

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Coefficient ideal of ideals generated by monomials2011

    • Author(s)
      Satoshi Ohnishi, Kei-ichi Watanabe
    • Journal Title

      Communications in Algebra

      Volume: vol.39 Pages: 1563-1576

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Coefficient ideal of ideals generated by monomials2011

    • Author(s)
      K.Watanabe, S.Ohnishi
    • Journal Title

      Comm.Alg

      Volume: 39 Pages: 1563-1576

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Journal Article] F-signature of graded Gorenstein rings2011

    • Author(s)
      K.Watanabe (A.Sannai)
    • Journal Title

      J.Pure and Appl.Algebra

      Volume: (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Coefficient ideal of ideals generated by monomials2011

    • Author(s)
      K.Watanabe, S.Ohnishi
    • Journal Title

      Communications in Algebra. in press

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Multiplicity bounds in graded rings2011

    • Author(s)
      K.Watanabe, C.Huneke, S.Takagi
    • Journal Title

      Kyoto Journal of Mathematics. in press

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Coefficient ideal of ideals generated by monomials2011

    • Author(s)
      K.Watanabe (S.Ohnishi)
    • Journal Title

      Communications in Algebra

      Volume: (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Pseudo-symmetric and atomic numerical semigroups generated by three elements2011

    • Author(s)
      K.Watanabe, H.Nari, T.Numata
    • Journal Title

      Proc.Inst.Natural Sci., Nihon Univ. 46 in press

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Multiplicity bounds in graded rings2011

    • Author(s)
      K.Watanabe (C.Huneke, S.Takagi)
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: (in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] F-signature of graded Gorenstein rings2011

    • Author(s)
      A.Sannnai, K.Watanabe
    • Journal Title

      J.Pure and Appl.Algebra. vol.215

      Pages: 2190-2195

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] Multiplicity bounds in graded rings2011

    • Author(s)
      Craig Huneke, S. Takagi, Kei-ichi Watanabe
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: vol.51 Pages: 127-147

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Pseudo-symmetric and atomic numerical semigroups generated by three elements2011

    • Author(s)
      K.Watanabe (H.Nari, T.Numata)
    • Journal Title

      Proc.Inst.Natural Sci., Nihon Univ.

      Volume: 46(in press)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Multiplicity bounds in graded rings2011

    • Author(s)
      C.Huneke-S.Takagi-K.Watanabe
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 51 Pages: 127-147

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] F-signature of graded Gorenstein rings2011

    • Author(s)
      Akiyoshi Sannai, Kei-ichi Watanabe
    • Journal Title

      J. Pure and Appl. Algebra

      Volume: vol.215 Pages: 2190-2195

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Coefficient ideal of ideals generated by monomials, To appear in Communications in Algebra2011

    • Author(s)
      S.Ohnishi, K.Watanabe
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] Multiplicity bounds in graded rings, Kyoto Journal of Mathematics2011

    • Author(s)
      C. Huneke, S. Takagi, K. Watanabe
    • Journal Title

      Kyoto Journal of Mathematics

      Volume: 51 Pages: 127-147

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Multiplicity bounds in graded rings2011

    • Author(s)
      C.Huneke, S.Takagi, K.Watanabe
    • Journal Title

      Kyoto Journal of Mathematics vol.51, No.1

      Pages: 127-147

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] Multigraded rings, Diagonal subalgebras and rational singularities2009

    • Author(s)
      K. Kurano, E. Sato, A. Singh, K.-i. Watanabe
    • Journal Title

      J. of Algebra 322

      Pages: 3248-3267

    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009

    • Author(s)
      K.Watanabe (K.Kurano, E.Sato, A.Singh)
    • Journal Title

      J.of Algebra

      Volume: 322 Pages: 3248-3267

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009

    • Author(s)
      K.Kurano, E.Sato, A.Singh K.Watanabe
    • Journal Title

      Journal of Algebra 322

      Pages: 3248-3267

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] Multigraded rings, diagonal subalgebras and rational singularities2009

    • Author(s)
      K.Kurano, E.Sato, A.Singh, K.-i.Watanabe
    • Journal Title

      J.of Algebra 322

      Pages: 3248-3267

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009

    • Author(s)
      K.Kurano, E.Sato, A.Singh., K.Watanabe
    • Journal Title

      J.of Algebra vol.322

      Pages: 3248-3267

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] Multigraded rings, diagonal subalgebras, and rational singularities2009

    • Author(s)
      K.Watanabe, K.Kurano, E.Sato, A.Singh
    • Journal Title

      J.of Algebra 322

      Pages: 3248-3267

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Coefficient ideals of ideals in k[X, Y] generated by monomials2008

    • Author(s)
      S. Ohnishi, K. Watanabe
    • Journal Title

      Proc. Inst. Natural Sci., Nihon Univ. 43

      Pages: 347-352

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      C. Huneke, M. Mustata, S. Takagi, K. Watanabe
    • Journal Title

      Michigan Math. J. 57

      Pages: 463-483

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      C.Huneke, M.Mustata, S Takagi, K.Watanabe
    • Journal Title

      Michigan Math.J. vol.57

      Pages: 463-483

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      C., Huneke, M., Mustata, S., Takagi, K., Watanabe
    • Journal Title

      Michigan Mathematical Journal (to appear in)

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Coefficient ideals of ideals in $k[X, Y]$ generated by monomials2008

    • Author(s)
      K.Watanabe, S.Ohnishi
    • Journal Title

      Proc.Inst.Natural Sci., Nihon Univ. 43

      Pages: 347-352

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      渡辺敬一, C. Huneke, M. Mustata and S, Takagi
    • Journal Title

      to appear in Michigan Math. J. (掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      C. Huneke, M. Mustata, S. Takagi, K. Watanabe
    • Journal Title

      Michigan Math. J. 57

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds,2008

    • Author(s)
      C. Huneke, M. Mustata, S. Takagi), K. Watanabe
    • Journal Title

      Michigan Math. J To appear

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      K.Watanabe, C.Huneke, M.Mustata, S.Takagi
    • Journal Title

      Michigan Math.J. 57

      Pages: 463-483

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] F-thresholds,tight closure,integral closure,and multiplicity bounds2008

    • Author(s)
      C. Huneke, M. Mustata S. Takagi, K. Watanabe
    • Journal Title

      Michigan Math.J. (印刷中)

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      C. Huneke. M. Mustata, S, Takagi, K. Watanabe
    • Journal Title

      Michigan Math. J. 57

      Pages: 463-483

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] Coefficient ideals of ideals in $k[X,Y]$ generated by monomials2008

    • Author(s)
      渡辺敬一
    • Journal Title

      to appear in Proc. Inst. Natural Sci., Nihon Univ. 43(掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2008

    • Author(s)
      C. Huneke, M. Mustata, S. Takagi and K. Watanabe
    • Journal Title

      Michigan Math. J. 57

      Pages: 463-483

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Coefficient ideals of ideals in k[X,Y]generated by monomials2008

    • Author(s)
      S. Ohnishi, K. Watanabe
    • Journal Title

      Proc.Inst.Natural science, Nihon Univ 43

      Pages: 347-352

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Totally reflexive modules constructed from smooth pro jective curves of genus g≧ 22007

    • Author(s)
      R., Takahashi, K.Watanabe
    • Journal Title

      Archiv der Mathematik 89

      Pages: 60-67

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds2007

    • Author(s)
      K. i. Watanabe, C. Huneke, M. Mustata, S. Takagi
    • Journal Title

      Michigan Math. J. vol.57

      Pages: 60-67

    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus g〓22007

    • Author(s)
      R. Takahashi, K. Watanabe
    • Journal Title

      Archiy der Mathematik 89

      Pages: 60-67

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus2007

    • Author(s)
      渡辺敬一
    • Journal Title

      Archiv der Mathematik 89

      Pages: 60-67

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus g〓22007

    • Author(s)
      R. Takahashi and K. Watanabe
    • Journal Title

      Archiv der Mathematik 89

      Pages: 60-67

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus g \geq 22007

    • Author(s)
      K. i. Watanabe, R. Takahashi
    • Journal Title

      Archiv der Mathematik 89

      Pages: 60-67

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus g geq 22007

    • Author(s)
      K. i. Watanabe, R. Takahashi
    • Journal Title

      Archiv der Mathematik 89

      Pages: 60-67

    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus $g\geq2$2007

    • Author(s)
      K.Watanabe, R.Takahashi
    • Journal Title

      Archiv der Mathematik 89

      Pages: 60-67

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings2006

    • Author(s)
      K.Watanabe, S.Noh
    • Journal Title

      J.of Algebra 302

      Pages: 156-166

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings.2006

    • Author(s)
      S. Noh, K.-i. Watanabe
    • Journal Title

      J. of Algebra 300

      Pages: 156-166

    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings2006

    • Author(s)
      Sunsook Noh, Kei-ichi Watanabe
    • Journal Title

      Journal of Algebra 302

      Pages: 156-166

    • Data Source
      KAKENHI-PROJECT-16540021
  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings2006

    • Author(s)
      S., Noh, K., Watanabe
    • Journal Title

      J. of Algebra 302

      Pages: 156-166

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  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings2006

    • Author(s)
      S. Noh, K. Watanabe
    • Journal Title

      Journal of Algebra 302

      Pages: 156-166

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
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  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings,2006

    • Author(s)
      S.Noh, K.Watanabe
    • Journal Title

      Journal of Algebra 302

      Pages: 156-166

    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings.2006

    • Author(s)
      S.Noh, K, -i.Watanabe
    • Journal Title

      J. of Algebra 300

      Pages: 156-166

    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Adjacent integrally dosed idecls in 2-dimeasinul regular localrin2006

    • Author(s)
      渡辺敬一, S. Noh
    • Journal Title

      Joural of Algebra 302

      Pages: 156-166

    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

    • Author(s)
      K.-i.Watanabe, K.Yoshida
    • Journal Title

      Nagoya Math.J. 177

      Pages: 47-75

    • Data Source
      KAKENHI-PROJECT-16540021
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

    • Author(s)
      Kei-ichi Watanabe, Ken-ichi Yoshida
    • Journal Title

      Nagoya Math. J. 177

      Pages: 47-75

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540021
  • [Journal Article] F-thresholds and Berstein-Sato polynomials,2005

    • Author(s)
      M.Mustata, S.Takagi, K.Watanabe
    • Journal Title

      Proc.4ECM Stockholm 2004

      Pages: 341-364

    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local Hngs2005

    • Author(s)
      K.-i.Watanabe, K.Yoshida
    • Journal Title

      Nagoya Math J 177

      Pages: 47-75

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      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Hilbert-Kunz multiplicity of three dimensional local Rings2005

    • Author(s)
      渡辺敬一, 吉田健一
    • Journal Title

      Nagoya Math.J. 177

      Pages: 47-75

    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

    • Author(s)
      K.-i.Watanabe, K.-i.Yoshida
    • Journal Title

      Nagoya Math. J. 177

      Pages: 47-75

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      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] Hilbert-Kunz multiplicity of three dimensional local rings,2005

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

      Nagoya Math.J. 177

      Pages: 47-75

    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

    • Author(s)
      K.-i.Watanabe, K.-i.Yoshida
    • Journal Title

      Nagoya Math.J. 177

      Pages: 47-75

    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

    • Author(s)
      K.-i.Watanabe, K.-i.Yoshida
    • Journal Title

      Nagoya Math.J. vol.177

      Pages: 47-75

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

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

      Nagoya Math. J 177

      Pages: 47-75

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Hilbert-Kunz multiplicity of three dimensional local rings2005

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

      Nagoya Math.J. vol.177

      Pages: 47-75

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] F-thresholds and Bernstein-Sato polynomials2005

    • Author(s)
      K.-i.Watanabe, M.Mustata, S.Takagi
    • Journal Title

      European Congress of Mathematics, Eur.Math.Soc., Zurich

      Pages: 341-364

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Hilbert-Kunz multiplicity of three dimensional local rings2005

    • Author(s)
      渡辺敬一
    • Journal Title

      Nagoya Math. J. 177

      Pages: 47-7775

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

    • Author(s)
      K.-i.Watanabe, K.Yoshida
    • Journal Title

      Nagoya Math.J. 177

      Pages: 47-75

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Hilbert-Kunz multiplicity of three dimensional local rings2005

    • Author(s)
      K-i.Watanabe, k.Yoshida
    • Journal Title

      Nagoya Mathematical Journal 177

      Pages: 47-75

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] F-thresholds and Bernstein-Sato polynomial2005

    • Author(s)
      M.Mustata, S.Takagi, K.Watanabe
    • Journal Title

      Europian Congress of Mathematics

      Pages: 341-364

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Hilbert-Kunz multiplicity of three dimensional local rings,2005

    • Author(s)
      K.Watanabe
    • Journal Title

      Nagoya Math.J. 177

      Pages: 47-75

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings2005

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

      Nagoya Math.J. 177

      Pages: 47-75

    • Description
      「研究成果報告書概要(和文)」より
    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Hilbert-Kunz multiplicity of three dimensional local Rings2005

    • Author(s)
      渡辺敬一, 吉田健一
    • Journal Title

      Nagoya Math. J. 177

      Pages: 47-75

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

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

      Illinois J.Math. 48

      Pages: 273-294

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

    • Author(s)
      Kei-ichi Watanabe, Ken-ichi Yoshida
    • Journal Title

      Illinois J. Math. 48

      Pages: 273-294

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540021
  • [Journal Article] O F-pure thresholds2004

    • Author(s)
      渡辺敬一, 高木俊介
    • Journal Title

      J. Alg. 282

      Pages: 278-297

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] When does the subadditivity theorem for multiplier ideals hold?2004

    • Author(s)
      K.-i.Watanabe, S.Takagi
    • Journal Title

      Trans.Amer.Math.Soc. 356

      Pages: 3951-3961

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] On F-pure thresholds,2004

    • Author(s)
      S.Takagi, K.Watanabe
    • Journal Title

      Journal of Algebra, 282

      Pages: 278-297

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] When does the subadditivity theorem for multiplier ideals hold?2004

    • Author(s)
      渡辺敬一, 高木俊輔
    • Journal Title

      Trans AMS 356

      Pages: 3951-3961

    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] The total coordinate ring of a normal projective variety2004

    • Author(s)
      J.Elizondo, K.Kurano, K.Watanabe
    • Journal Title

      J.of Algebra vol.276

      Pages: 625-637

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] The total coordinate ring of normal projective variety2004

    • Author(s)
      J.Elizondo, K.Kurano, K.Watanabe
    • Journal Title

      Journal of Algebra 276

      Pages: 625-637

    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

    • Author(s)
      K-i.Watanabe, K.Yoshida
    • Journal Title

      Illinois Journal of Mathematics 48

      Pages: 273-294

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] On F-pure thresholds,2004

    • Author(s)
      K.Watanabe, S.Takagi
    • Journal Title

      J.of Algebra 282

      Pages: 278-297

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] On F-pure thresholds2004

    • Author(s)
      S.Takagi, K.Watanabe
    • Journal Title

      J.of Algebra vol.282

      Pages: 278-297

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] The total coordinate ring of a normal projective variety2004

    • Author(s)
      K.-i.Watanabe, J.Elizondo, K.Kurano
    • Journal Title

      J.Algebra 276

      Pages: 625-637

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] F-thresholds and Bernstein-Sato polynomials2004

    • Author(s)
      渡辺敬一, Mustata, 高木俊介
    • Journal Title

      4ECM Stockholm

      Pages: 341-363

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] F-thresholds and Bernstein-Sato polynomials,2004

    • Author(s)
      K.Watanabe, M.Mustata, S.Takagi
    • Journal Title

      4ECM Stockholm

      Pages: 341-363

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Minimal relative Hilbert-kunz multiplicity2004

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

      Illinois J.Math. 48

      Pages: 273-294

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

    • Author(s)
      K.-i.Watanabe, K.Yoshida
    • Journal Title

      Illinois J.Math. 48

      Pages: 273-294

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] On F-pure thresholds2004

    • Author(s)
      S.Takagi, K.Watanabe
    • Journal Title

      J.of Algebra 282

      Pages: 278-297

    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

    • Author(s)
      K-i.Watanabe, K.Yoshida
    • Journal Title

      Illinois J.Math. 48

      Pages: 273-294

    • Data Source
      KAKENHI-PROJECT-16540021
  • [Journal Article] When does the subadditivity theorem for multiplier ideals hold?2004

    • Author(s)
      渡辺敬一, 高木俊介
    • Journal Title

      Trans. AMS 356

      Pages: 3951-3961

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] When does the subadditivity for multiplier ideals hold?2004

    • Author(s)
      K-i.Watanabe, S.Takagi
    • Journal Title

      Transactions of American Mathematical Society 356

      Pages: 3951-3961

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] When does the subadditivity theorem for multiplier ideals hold?2004

    • Author(s)
      S.Takagi, K.Watanabe
    • Journal Title

      Transaction of American Mathematical Society 356

      Pages: 3951-3961

    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

    • Author(s)
      渡辺敬一, 吉田健一
    • Journal Title

      Illinois Journal of Math. 48

      Pages: 625-637

    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

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

      Illinois J.of Mathematics 48

      Pages: 273-294

    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] The total coordinate ring of a normal projective variety,2004

    • Author(s)
      K.Watanabe, Elizondo, K.Kurano
    • Journal Title

      J.of Algebra vol.276, No.2

      Pages: 625-637

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] The total coordinate ring of a normal projective variety2004

    • Author(s)
      J.Elizondo, K.Kurano, K.Watanabe
    • Journal Title

      J.Algebra 276

      Pages: 625-637

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] When does the subadditivity theorem for multiplier ideals hold?2004

    • Author(s)
      Shunsuke Takagi, Kei-ichi Watanabe
    • Journal Title

      Trans. Amer. Math. Soc. 356

      Pages: 3951-3961

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540021
  • [Journal Article] The total coordinate ring of a normal projective variety,2004

    • Author(s)
      J.Elizondo, K.Kurano, K.Watanabe
    • Journal Title

      Journal of Algebra, 276

      Pages: 625-637

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] The total coordinate ring of a normal projective variety,2004

    • Author(s)
      渡辺敬一, Elizondo, 蔵野和彦
    • Journal Title

      J. of Algebra, 276

      Pages: 625-637

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Minimal relative Hilbert-Kunz multiplicity2004

    • Author(s)
      K.-i.Watanabe, K.Yoshida
    • Journal Title

      Illinois J.Math 48

      Pages: 273-294

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] When does the subadditivity theorem for multiplier ideals hold?2004

    • Author(s)
      K.Watanabe, S.Takagi
    • Journal Title

      Trans.AMS vol.356

      Pages: 3951-3961

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Integrally closed ideals in two-dimensional regular local rings are multiplier ideals2003

    • Author(s)
      J.Lipman, K.Watanabe
    • Journal Title

      Math.Reasearch Letters vol.10

      Pages: 423-434

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] Integrally closed ideals in two-dimensional regular local rings are multiplier ideals,2003

    • Author(s)
      K.Watanabe, Lipman
    • Journal Title

      Math.Reasearch Letters 10

      Pages: 423-434

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Integrally closed ideals in two-dimensional regular local rings are multiplier ideals2003

    • Author(s)
      渡辺敬一, J.Lipman
    • Journal Title

      Math. Reasearch Letters 10

      Pages: 423-434

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Chains of Integrally Closed Ideals,2003

    • Author(s)
      K.Watanabe
    • Journal Title

      Contem Math. (AMS) 331

      Pages: 353-358

    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [Journal Article] Integrally closed ideals in two-dimensional regular local rings are multiplier ideals,2003

    • Author(s)
      J.Lipman, K.Watanabe
    • Journal Title

      Math.Reasearch Letters 10

      Pages: 423-434

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-13440015
  • [Journal Article] Chains of Integrally Closed Ideals2003

    • Author(s)
      渡辺敬一
    • Journal Title

      Contem Math. 331

      Pages: 353-358

    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-14340005
  • [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] Adjacent integrally closed ideals in 2-dimensional regular local rings,

    • Author(s)
      S.Noh, K.Watanabe
    • Journal Title

      J.of Algebra (印刷中)

    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] F-thresholds, tight closure, integral closure, and multiplicity bounds

    • Author(s)
      K. i. Watanabe, C. Huneke, M. Mustata, S. Takagi
    • Journal Title

      Michigan Math. J. (未定)(掲載決定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus g 【greater than or equal】 2

    • Author(s)
      R.Takahashi, K.Watanabe
    • Journal Title

      Archiv der Mathematik. To appear

    • Data Source
      KAKENHI-PROJECT-17540043
  • [Journal Article] Adjacent integrally closed ideals in 2-dimensional regular local rings

    • Author(s)
      S.NOH, Kei-ichi WATANABE
    • Journal Title

      J. of Algebra (to appear)(号・巻、発行年、ページ数未定)

    • Data Source
      KAKENHI-PROJECT-16540043
  • [Journal Article] Coefficient ideal of ideals generated by monomials

    • Author(s)
      S.Ohnihsi, K.-i.Watanabe
    • Journal Title

      Communications in Algebra (掲載決定, 巻号未定)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings

    • Author(s)
      K-i.Watanabe, K.Yoshida
    • Journal Title

      Nagoya Math.J. (to appear)

    • Data Source
      KAKENHI-PROJECT-16540021
  • [Journal Article] Totally reflexive modulus construsded from projective curves of genus g22

    • Author(s)
      渡辺敬一, 高橋良
    • Journal Title

      Archiv der Mathematik (掲載決定)

    • Data Source
      KAKENHI-PROJECT-18340004
  • [Journal Article] Hilbert-Kunz multiplicity of three-dimensional local rings

    • Author(s)
      K-i.Watanabe, K.Yoshida
    • Journal Title

      Nagoya Mathematical Journal (掲載予定)

    • Data Source
      KAKENHI-PROJECT-16540005
  • [Journal Article] Classification of 2-dimensional normal graded hypersurfaces with a(R) ¥le 6

    • Author(s)
      Kei-ichi Watanabe
    • Journal Title

      Proceedings of the 2012 Conference at IMPA

      Volume: (To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Upper bound of multiplicity of F-rational rings and F-pure rings

    • Author(s)
      Craig Huneke, . Kei-ichi Watanabe
    • Journal Title

      Proc. American Mathematical Soc

      Volume: (To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Journal Article] Coefficient ideal of ideals generated by monomials

    • Author(s)
      S.Ohnishi, K.Watanabe
    • Journal Title

      Communications in Algebra (To appear)

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Journal Article] Totally reflexive modules constructed from smooth projective curves of genus g≧2

    • Author(s)
      R.Takahashi, K.-i.Watanabe
    • Journal Title

      Arkiv fur Math. (to appear 巻、号、発行年、ページ数未定)

    • Data Source
      KAKENHI-PROJECT-18540051
  • [Presentation] Gorenstein Property of normalized tangent cones of integrally closed ideals of 2-dimensional normal local rings,2023

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      workshop On commutative algebra and algebraic geometry in prime characteristics
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03040
  • [Presentation] Gorenstein property of normal tangent cones of integrally closed ideals of 2-dimensional normal local rings,2023

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      第34回可換環論セミナー (7/4-7, 北見工業大学)
    • Data Source
      KAKENHI-PROJECT-23K03040
  • [Presentation] F-singuralities; characteristic p methods in commutative ring theory and and algebraic geometry ;2023

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      ICTP School on Commutative Algebra and Algebraic Geometry,
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03040
  • [Presentation] Gorenstein normal tangent cones2023

    • Author(s)
      吉田健一,奥間智宏,渡辺敬一
    • Organizer
      日本数学会 (東北大学)
    • Data Source
      KAKENHI-PROJECT-23K03040
  • [Presentation] Inverse Polynomials of numerical semigroup rings2022

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      International Meeting on Numerical Semigroups, Roma, 2022,
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Presentation] Elliptic ideals in 2 dimensional normal local rings2022

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      Commutative Algebra Seminar, University of Utah.
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Presentation] Inverse polynomials of symmetric numerical semigroups2021

    • Author(s)
      Keiichi Watanabe
    • Organizer
      Virtual Commutative Algebra Seminar, IIT Bombay,
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Presentation] Normal Hilbert coefficients and elliptic ideals in normal 2-dimensional local domains2021

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      Workshop, "Fellowshipof the Ring", Mathematical Sciences Research Institute
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Presentation] NORMAL HILBERT COEFFICIENTS AND ELLIPTIC IDEALS IN NORMAL 2-DIMENSIONAL LOCAL DOMAINS2021

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      OIST Workshop: Quantum Math, Singularities and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-20K03522
  • [Presentation] Hilbert-Kunz multiplicities and related topics,2018

    • Author(s)
      K. Watanabe
    • Organizer
      Colloquium, Institute of mathematics, Hanoi (Vietnam)
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Homogeneous prime elements of 2-dimensional normal graded rings,2017

    • Author(s)
      K. Watanabe
    • Organizer
      第39回可換環論シンポジウム,RIMS, 京都大学
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Normal and core reduction numbers of integrally closed ideals,2017

    • Author(s)
      T. Okuma, K. Watanabe and K. Yoshida,
    • Organizer
      第39回可換環論シンポジウム,RIMS, 京都大学,
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Core of p_g-ideals in 2-dimensional normal singularities and a characterization of rational singularities via Core of ideals,2016

    • Author(s)
      K. Watanabe
    • Organizer
      Math Department Colloquium
    • Place of Presentation
      Mumbai (インド)
    • Year and Date
      2016-11-04
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Almost Symmetric Numerical Semigroups2016

    • Author(s)
      渡辺 敬一
    • Organizer
      研究集会「代数系、論理、言語と計算機科学」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2016-02-16
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Characterization of 2-dimensional rational singularities via core of ideals.2016

    • Author(s)
      K. Watanabe
    • Organizer
      COMMUTATIVE ALGEBRA AND ITS INTERACTIONS WITH ALGEBRAIC GEOMETRY:
    • Place of Presentation
      Ann Arbor (USA)
    • Year and Date
      2016-07-10
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Integrally Closed Ideals of 2-dimensional normal singularities,2015

    • Author(s)
      K. Watanabe
    • Organizer
      第13回アフィン代数幾何研究集会,
    • Place of Presentation
      関西学院大学梅田キャンパス,
    • Year and Date
      2015-03-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] F-thresholds,2015

    • Author(s)
      K. Watanabe
    • Organizer
      Workshop on Multiplier Ideals, Test Ideals and
    • Place of Presentation
      Univ. Politecnica de Catalunya, Barcelona,
    • Year and Date
      2015-09-08
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] A characterization of 2-dimensional rational singularities via Core of ideals,2015

    • Author(s)
      T. Okuma, K. Watanabe and K. Yoshida,
    • Organizer
      第37回可換環論シンポジウム
    • Place of Presentation
      倉敷シーサイドホテル
    • Year and Date
      2015-11-21
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] p_g-ideals and core of integrally closed ideals in normal surface singularities,2015

    • Author(s)
      K. Watanabe
    • Organizer
      AMS Summer Institute, Univ. of Utah,
    • Place of Presentation
      Univ. of Utah,
    • Year and Date
      2015-07-14
    • Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] A classification of integrally closed ideals in 2-dimendional normal singularities and a characterization of2015

    • Author(s)
      K. Watanabe
    • Organizer
      The 3rd Franco-Japanese-Vietnamese symposium on singularities,
    • Place of Presentation
      Math. INstitute, Hanoi, Vietnam
    • Year and Date
      2015-12-02
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Ideal Theory of 2-dimensional normal singularities,2014

    • Author(s)
      K. Watanabe
    • Organizer
      OSCAR 2
    • Place of Presentation
      岡山大学
    • Year and Date
      2014-06-09
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Towards the theory of integrally closed ideals of 2-dimensional2014

    • Author(s)
      奥間智宏,吉田健一, 渡辺敬一
    • Organizer
      第36回可換環論シンポジウム
    • Place of Presentation
      湘南国際村
    • Year and Date
      2014-11-24
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Ulrich Ideals,2014

    • Author(s)
      K. Watanabe
    • Organizer
      International Meeting on numerical semigroups
    • Place of Presentation
      Palazzone, Cortona, Italy
    • Year and Date
      2014-09-09
    • Data Source
      KAKENHI-PROJECT-26400053
  • [Presentation] Good ideals of 2-dimensional normal singularities2013

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      International Conference on Commutative Algebra and its Interaction to Algebraic Geometry and Combinatorics
    • Place of Presentation
      Institute of Math., Hanoi
    • Year and Date
      2013-12-09
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Good ideals of 2-dimensional normal singularities2013

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      COMMUTATIVE ALGEBRA AND ITS INTERACTION WITH ALGEBRAIC GEOMETRY
    • Place of Presentation
      CIRM, France
    • Year and Date
      2013-07-10
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Existence of good ideals in 2-dimensional normal Gorenstein rings2013

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      Commutative Algebra Seminar
    • Place of Presentation
      MSRI, UC Berkeley
    • Year and Date
      2013-03-14
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] On Ulrich ideals and modules, II2012

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      12th ALGA meeting
    • Place of Presentation
      IMPA, Rio de Janeiro
    • Year and Date
      2012-08-16
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Ulrich modules and Special modules over 2-dimensional rational singularities2012

    • Author(s)
      吉田健一・渡辺敬一
    • Organizer
      第45回環論および表現論シンポジウム
    • Place of Presentation
      信州大学
    • Year and Date
      2012-09-08
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Ulrich modules and Special modules over 2-dimensional rational singularities,2012

    • Author(s)
      吉田健一・渡辺敬一
    • Organizer
      第45回環論および表現論シンポジウム
    • Place of Presentation
      信州大学
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Certain Jet Schemes have Rational Singularities2011

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      Midwest Commutative Algebra and Geometry Conference
    • Place of Presentation
      Purdue University
    • Year and Date
      2011-05-15
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Certain Jet Schemes have Rational Singularities2011

    • Author(s)
      K. Watanabe
    • Organizer
      Midwest Commutative Algebra and Geometry Conference,(招待講演)
    • Place of Presentation
      Purdue University, USA
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Upper bound of multiplicity of F-rational and F-pure rings2011

    • Author(s)
      渡辺 敬一
    • Organizer
      第33回可換環論シンポジウム
    • Place of Presentation
      浜名湖カリアック
    • Year and Date
      2011-11-09
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] The upper bound of multiplicity of F-pure rings and rational singularities2011

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      The 7th Japan- Vietnam Joint Seminar on Commutative Algebra
    • Place of Presentation
      Quy Nhon University, Vietnam
    • Year and Date
      2011-12-13
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] 11/8 トーリック環上の F-thresholds2011

    • Author(s)
      吉田 健一, 渡辺 敬一
    • Organizer
      第33回可換環論シンポジウム
    • Place of Presentation
      浜名湖カリアック
    • Year and Date
      2011-11-08
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] The upper bound of multiplicity of F-pure rings and rational singularities2011

    • Author(s)
      K. Watanabe
    • Organizer
      The 7th Japan- Vietnam Joint Seminar on Commutative Algebra(招待講演)
    • Place of Presentation
      Quy Nhon University, Vietnam
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Certain Jet Schemes have Rational Singularities2011

    • Author(s)
      渡辺 敬一
    • Organizer
      特異点論とそのひろがり
    • Place of Presentation
      京都大学
    • Year and Date
      2011-08-24
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] A variant of Wang's Theorem in positive characteristic2010

    • Author(s)
      K.Watanabe
    • Organizer
      Commutative Algebra and its Interactions with Algebraic Geometry
    • Place of Presentation
      C.I.R.M, Luminy (France)
    • Year and Date
      2010-11-05
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Presentation] A variant of Wang's Theorem in positive characteristic2010

    • Author(s)
      K.Watanabe
    • Organizer
      Commutative Algebra and its Interactions with Algebraic Geometry.
    • Place of Presentation
      C.I.R.M, Luminy, France
    • Year and Date
      2010-11-05
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] A positive characteristic approach to Wang's theorem2010

    • Author(s)
      K.Watanabe, K.Yoshida
    • Organizer
      32nd Commutative Algebra Symposium, 6th Japan-Vietnam Joint Seminar on Commutative Algebra
    • Place of Presentation
      IPC生産性国際交流センター,葉山
    • Year and Date
      2010-12-06
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Frobenius splitting in algebraic geometry, commutative algebra, and representation theory
    • Place of Presentation
      University of Michigan (USA)
    • Year and Date
      2010-05-18
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Juergan Herzogを囲む可換代数の集い
    • Place of Presentation
      大阪大学
    • Year and Date
      2010-01-28
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Frobenius splitting conferrence
    • Place of Presentation
      Michigan University, Ann Arbor
    • Year and Date
      2010-05-18
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Frobenius splitting conference
    • Place of Presentation
      Michigan University, Ann Arbor
    • Year and Date
      2010-05-18
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] A positive characteristic approach to Wang's theorem2010

    • Author(s)
      K.Watanabe, K.Yoshida
    • Organizer
      32nd Commutative Algebra Symposium, 6th Japan-Vietnam Joint Seminar on Commutative Algebra
    • Place of Presentation
      葉山
    • Year and Date
      2010-12-06
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Workshop on Local Rings and Local Study of Algebraic Varieties
    • Place of Presentation
      ICTP Trieste
    • Year and Date
      2010-06-07
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] A positive characteristic approach to Wang's theorem2010

    • Author(s)
      K.Yoshida, K.Watanabe
    • Organizer
      32nd Commutative Algebra Symposium, 6th Japan-Vietnam Joint Seminar on Commutative Algebra
    • Year and Date
      2010-12-06
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] A variant of Wang's Theorem in positive characteristic2010

    • Author(s)
      K.Watanabe
    • Organizer
      Commutative Algebra and its Interactions with Algebraic Geometry
    • Place of Presentation
      C.I.R.M, Luminy
    • Year and Date
      2010-11-05
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      The 5-th Japan-Vietnam Joint Seminar on Commutative Algebra
    • Place of Presentation
      Hanoi
    • Year and Date
      2010-01-05
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Frobenius splitting conference
    • Place of Presentation
      Michigan University, Ann Arbor
    • Year and Date
      2010-05-18
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Workshop on Local Rings and Local Study of Algebraic Varieties
    • Place of Presentation
      ICTP Trieste, Itajy
    • Year and Date
      2010-06-07
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      Workshop on Local Rings and Local Study of Algebraic Varieties
    • Place of Presentation
      ICTP Trieste
    • Year and Date
      2010-06-07
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some topics on F-thresholds2010

    • Author(s)
      K.Watanabe
    • Organizer
      The 5-th Japan-Vietnam Joint Seminar on Commutative Algebra
    • Place of Presentation
      Hanoi
    • Year and Date
      2010-01-05
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] A variant of Wang's Theorem in positive characteristic2010

    • Author(s)
      Keiichi Watanabe
    • Organizer
      Commutative Algebra and its Interactions with Algebraic Geometry
    • Place of Presentation
      C.I.R.M., Luminy, France
    • Year and Date
      2010-11-05
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] a-invariant of normal graded Gorenstein domains and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      Commutative Algebra
    • Place of Presentation
      Oberwolfach
    • Year and Date
      2009-04-24
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] The a invariants of normal graded Gorenstein rings and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      PASI 2009, Commutative Algebra and its connections to Geometry
    • Place of Presentation
      Olinda, Brazil
    • Year and Date
      2009-08-14
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] Hilbert-Kunz multiplicities" (2 talks)2009

    • Author(s)
      K.Watanabe
    • Organizer
      Mini Workshop of Algebra
    • Place of Presentation
      Taiwan National University
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] The $a$ invariants of normal graded Gorenstein rings and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      第31回可換環論シンポジウム
    • Place of Presentation
      アウィーナ大阪
    • Year and Date
      2009-11-25
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] The $a$ invariants of normal graded Gorenstein rings and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      日本数学会一般講演
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] a-invariant of normal graded Gorenstein domains and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      Kommutative Algebra
    • Place of Presentation
      Oberwolfach
    • Year and Date
      2009-04-24
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] a-invariant of normal graded Gorenstein domains and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      Kommutative Algebra
    • Place of Presentation
      Oberwolfach
    • Year and Date
      2009-04-24
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] a-invariant of normal graded Gorenstein domains and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      2009 PRIMA congress
    • Place of Presentation
      University of New South Wales, Sydney
    • Year and Date
      2009-07-08
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Hilbert-Kunz multiplicities2009

    • Author(s)
      K.Watanabe
    • Organizer
      Mini Workshop of Algebra
    • Place of Presentation
      Taiwan National University
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] The $a$ invariants of normal graded Gorenstein rings and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      日本数学会
    • Place of Presentation
      大阪大学
    • Year and Date
      2009-09-26
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] The a invariants of normal graded Gorenstein rings and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      PASI 2009, Commutative Algebra and its connections to Geometry
    • Place of Presentation
      Olinda, Brazil
    • Year and Date
      2009-08-14
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] a-invariant of normal graded Gorenstein domains and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      2009 PRIMA congress
    • Place of Presentation
      University of New South Wales, Sydney
    • Year and Date
      2009-07-08
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] a-invariant of normal graded Gorenstein domains and varieties with even canonical class2009

    • Author(s)
      K.Watanabe
    • Organizer
      Workshop "Kommutative Algebra"
    • Place of Presentation
      Oberwolfach 数学研究所
    • Year and Date
      2009-04-23
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] Coefficient ideals of monomial idelas2008

    • Author(s)
      K.Watanabe
    • Organizer
      第30回可換環論シンポジウム
    • Place of Presentation
      唐津
    • Year and Date
      2008-11-19
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation]2008

    • Author(s)
      K.Watanabe
    • Organizer
      Classification of 2-dimensional normal graded hypersurfaces with small a-invariants
    • Place of Presentation
      Algebra Workshop, Kansas Univ.
    • Year and Date
      2008-07-25
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] Methods of characteristic $p>0$ in Singularity Theory2008

    • Author(s)
      渡辺敬一
    • Organizer
      第3回代数・解析・幾何セミナー
    • Place of Presentation
      鹿児島大学2/18-21
    • Year and Date
      2008-02-18
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Classification of 2-dimensional normal graded hypersurfaces with small a-invariants2008

    • Author(s)
      K.Watanabe
    • Organizer
      Algebre commutative et ses interactions avec la geometrie algebrique
    • Place of Presentation
      C.I.R.M., Luminy, France
    • Year and Date
      2008-10-01
    • Data Source
      KAKENHI-PROJECT-20540050
  • [Presentation] F-thresholds,with applications to multiplier ideals,integral closure and multiplicity2008

    • Author(s)
      K. Watanabe
    • Organizer
      CIMPA Conference on Commutative Algebra
    • Place of Presentation
      IIT Bombay,Mumbai,India
    • Year and Date
      2008-01-10
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Classification of 2-dimensional normal graded hypersurfaces with small a-invariants2008

    • Author(s)
      K.Watanabe
    • Organizer
      Algebra Workshop
    • Place of Presentation
      Kansas Univ.
    • Year and Date
      2008-07-25
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] F-thresholds, with applications to multiplier ideals, intgral closure and multiplicity2008

    • Author(s)
      K.Watanabe
    • Organizer
      Cimpa Conference on Commutative Algebra
    • Place of Presentation
      IIT Bombay, Mumbai, India
    • Year and Date
      2008-01-10
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Methods of characteristic p>0 in Singularity Theory2008

    • Author(s)
      K.Watanabe
    • Organizer
      第3回代数・解析・幾何セミナー
    • Place of Presentation
      鹿児島大学
    • Year and Date
      2008-02-18
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] F-thresholds, with applications to multiplier ideals, intgral closure and multiplicity2008

    • Author(s)
      K., Watanabe
    • Organizer
      CIMPA Conference on Commutative Algebra
    • Place of Presentation
      Bombay, Mumbai, India
    • Year and Date
      2008-01-10
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Classification of 2-dimensional normal graded hypersurfaces with small a-invariants2008

    • Author(s)
      K.Watanabe
    • Organizer
      Algebre commutative et ses interactions avec la geometrie algebrique
    • Place of Presentation
      C.I.R.M.
    • Year and Date
      2008-10-01
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] F-thresholds, with applications to multiplier ideals, integral closure and multiplicity2008

    • Author(s)
      渡辺敬一
    • Organizer
      CIMPA Conference on Commutative Algebra
    • Place of Presentation
      IIT Bombay, Mumbai, India
    • Year and Date
      2008-01-10
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Classification of $2$-dimensional normal graded hypersurfaces with $a(R)=1$2007

    • Author(s)
      K.Watanabe
    • Place of Presentation
      Palo Alto
    • Year and Date
      2007-11-22
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] F-thresholds-application to lc thresholds and a conjectur on multiplicity2007

    • Author(s)
      K. Watanabe
    • Organizer
      Algebraic Geometry and Commutative Algebra Tokyo 2007
    • Place of Presentation
      東京大学
    • Year and Date
      2007-12-12
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Methods of characteristic p>0 in Singularity Theory2007

    • Author(s)
      K. i. Watanabe
    • Organizer
      Summer School."Characteristic p methods in Algebraic Geometry"
    • Place of Presentation
      Drobeta-Turum-Severin; Romania
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Presentation] F-thresholds-application to lc thresholds and a conjecture on multiplicity2007

    • Author(s)
      K. Watanabe
    • Organizer
      Algebraic Geometry and Commutative Algebra Tokyo 2007,
    • Place of Presentation
      東京大学数理科学研究科
    • Year and Date
      2007-12-12
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] F-thresholds-application to lc thresholds and a conjecture on multiplicity2007

    • Author(s)
      K., Watanabe
    • Organizer
      Algebraic Geometry and Commutative Algebra
    • Place of Presentation
      Tokyo University
    • Year and Date
      2007-12-12
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] F-thresholds, tight closure, integral closure and multiplicity bounds (with C. Huneke, M. Mustata, S. Takagi)2007

    • Author(s)
      渡辺敬一
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      名古屋・池下厚生年金会館
    • Year and Date
      2007-11-19
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Methods of Characteristic p>0 in Singularity Theory" Summer School.2007

    • Author(s)
      K. i. Watanabe
    • Organizer
      Characteristic p methods in Algebraic Geometry
    • Place of Presentation
      Drobeta-Turum-Severin; Romania
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Presentation] F-thresholds - application to lc thresholds and a conjecture on multiplicity2007

    • Author(s)
      渡辺敬一
    • Organizer
      Algebraic Geometry and Commutative Algebra Tokyo 2007
    • Place of Presentation
      東京大学
    • Year and Date
      2007-12-12
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Methods of characteristic $p>0$ in Singularity Theory2007

    • Author(s)
      渡辺敬一
    • Organizer
      Summer School, "Characteristic p methods in Algebraic Geometry"(90分, 4回連続講演)
    • Place of Presentation
      Drobeta-turum-Severin, Romania
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Ring theoretic properties of F-thresholds2007

    • Author(s)
      K.Watanabe
    • Organizer
      Hilbert Functions and Syzygies in Commutative Algebra and Combinatorics ; A conference in honor of Juergen Herzog on the occasion of his 65^<th> birthday
    • Place of Presentation
      Cortona, Italy
    • Year and Date
      2007-09-18
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Ring theoretic properties of F-threshokls2007

    • Author(s)
      K. Watanabe
    • Organizer
      HILBERT FUNCTINOS AND SYZYGIES IN COMMUTATIVE ALGEBRA AND COMBINATORICS
    • Place of Presentation
      CORTONA,Italy
    • Year and Date
      2007-09-18
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] F-thresholds-application to lc thresholds and a conjecture on multiplicity2007

    • Author(s)
      K.Watanabe
    • Organizer
      Algebraic Geometry and Commutative Algebra Tokyo 2007
    • Place of Presentation
      東京大学
    • Year and Date
      2007-12-12
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] F-thresholds, tight closure, integral closure and multiplicity bounds2007

    • Author(s)
      K.Watanabe, C.Huneke, M.Mustata, S.Takagi
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      名古屋・池下厚生年金会館
    • Year and Date
      2007-11-19
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Methods of characteristic p>0 in Singularity Theory2007

    • Author(s)
      K., Watanabe
    • Organizer
      Summer School, "Characteristic p methods in Algebraic Geometry",Drobeta-Turum-Severin
    • Place of Presentation
      Romania
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Methods of characteristic p>0 in Singularity Theory2007

    • Author(s)
      K. Watanabe
    • Organizer
      Summer School."Characteristic p methods in Algebraic Geometry"
    • Place of Presentation
      Drobeta-Turum-Severin;Romania
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Methods of characteristic $p>0$ in Singularity Theory2007

    • Author(s)
      K.Watanabe
    • Organizer
      Characteristic p methods in Algebraic Geometry
    • Place of Presentation
      Drobeta-Turum-Severin ; Romania
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Ring theoretic properties of F-thresholds2007

    • Author(s)
      渡辺敬一
    • Organizer
      Hilbert functions and Syzygies in Commutative Algebra and Combinatrics: A Conference in honor of Juergen Herzog inthe occasion of his 65th birthday
    • Place of Presentation
      Cortona, Italy
    • Year and Date
      2007-09-18
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Classification of 2-dimensional normal graded hypersurfaces with a(R)=12007

    • Author(s)
      渡辺 敬一
    • Organizer
      第29回可換環論シンポジウム
    • Place of Presentation
      名古屋・池下厚生年金会館
    • Year and Date
      2007-11-22
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Ring theoretic properties of F-thresholds2006

    • Author(s)
      K. Watanabe
    • Organizer
      Workshop, "Integral Closure, Multiplier Ideals and Cores"
    • Place of Presentation
      American Institute of Mathe matics,Palo Alto,USA
    • Year and Date
      2006-12-21
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Some characteristic p methods for singularity theory2006

    • Author(s)
      K., Watanabe
    • Organizer
      Workshop in Commutative Algebra
    • Place of Presentation
      Univ. Essen(Germany)
    • Year and Date
      2006-11-20
    • Description
      「研究成果報告書概要(欧文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Some Questions on F-thresholds2006

    • Author(s)
      K.Watanabe
    • Organizer
      Meeting on Commutative Algebra ; Dedicated to the memory of Wilfgang Voge
    • Place of Presentation
      Eisenach, Germany
    • Year and Date
      2006-11-19
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some characteristic p methods for singularity theory2006

    • Author(s)
      K.Watanabe
    • Organizer
      Workshop in Commutative Algebra
    • Place of Presentation
      Univ.Essen
    • Year and Date
      2006-11-20
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Multiplier ideals and arc spaces2006

    • Author(s)
      K.Watanabe
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Some Questions on F-thresholds2006

    • Author(s)
      K. Watanabe
    • Organizer
      Meeting on Commutative Algebra;Dedicated to the memory of wilfgang Vogel
    • Place of Presentation
      Eisenach,Germany
    • Year and Date
      2006-11-19
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] Some chara-cteistic p methods for singularity theory2006

    • Author(s)
      K. Watanabe
    • Organizer
      Workshop in Commutative Algebra
    • Place of Presentation
      Univ.Essen,Germany
    • Year and Date
      2006-11-20
    • Description
      「研究成果報告書概要(和文)」より
    • Data Source
      KAKENHI-PROJECT-17540043
  • [Presentation] On F-thresholds、京都大学数理研短期共同研究2006

    • Author(s)
      渡辺敬一
    • Organizer
      京都大学数理研
    • Data Source
      KAKENHI-PROJECT-18540051
  • [Presentation] Ring theoretic properties of F-thresholds, Integral Closure2006

    • Author(s)
      K.Watanabe
    • Organizer
      Multiplier Ideals and Cores
    • Place of Presentation
      American Institute of Mathematics, Palo Alto
    • Year and Date
      2006-12-21
    • Data Source
      KAKENHI-PROJECT-18340004
  • [Presentation] Existence of good ideals in 2-dimensional normal Gorenstein rings

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      Commutative Algebra Seminar,
    • Place of Presentation
      MSRI, UC Berkeley,
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Good ideals of 2-dimensional normal singularities,

    • Author(s)
      K. Watanabe
    • Organizer
      COMMUTATIVE ALGEBRA AND ITS INTERACTION WITH ALGEBRAIC GEOMETRY,
    • Place of Presentation
      CIRM, France
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Good ideals on 2-dimensional normal singularities,

    • Author(s)
      T. Okuma, K. Watanabe, K. Yoshida
    • Organizer
      35-th Commutative Algebra Symposium,
    • Place of Presentation
      京都大学数理解析研究所
    • Data Source
      KAKENHI-PROJECT-23540059
  • [Presentation] Existence of good ideals in 2-dimensional normal Gorenstein rings

    • Author(s)
      K.-i. Watanabe
    • Organizer
      Commutative Algebra Seminar
    • Place of Presentation
      MSRI, UC Berkeley
    • Invited
    • Data Source
      KAKENHI-PROJECT-22340004
  • [Presentation] On Ulrich ideals and modules, II,

    • Author(s)
      Kei-ichi Watanabe
    • Organizer
      12th ALGA meeting,
    • Place of Presentation
      IMPA, Rio de Janeiro,
    • Invited
    • Data Source
      KAKENHI-PROJECT-23540059
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