SAKAI Fumio 酒井文雄

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酒井文雄

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Researcher Number	40036596
Affiliation (based on the past Project Information) *help	2018: 埼玉大学, 理工学研究科, 名誉教授 2017: 埼玉大学, 理学部, 名誉教授 2012 – 2016: 埼玉大学, 理工学研究科, 名誉教授 2014: 埼玉大学, 理工学研究科, 教授 2011: Saitama University, 理工学研究科, 教授 … More 2007 – 2010: 埼玉大学, 大学院・理工学研究科, 教授 2008: 埼玉大学, 大学院・理学研究科, 教授 2006 – 2007: Saitama University, Department of Mathematics, Professor, 理工学研究科, 教授 2006: Saitama University, Graduate School of Engineering and Science, Professor, 大学院理工学研究科, 教授 1990 – 2005: 埼玉大学, 理学部, 教授 2003: 埼玉大学, 理学部, 助教授 1991: 埼玉大学, 理学部数学, 教授 1987 – 1988: 埼玉大学, 理学部, 助教授 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / 代数学・幾何学 Except Principal Investigator Geometry / Algebra / 解析学 / Geometry / 代数学・幾何学 / Algebra
Keywords	Principal Investigator 特異点 / 平面曲線 / 代数曲面 / ゴナリティ / 巡回被覆 / ワイエルシュトラス点 / 代数幾何 / plane curve / 有理関数 / クレモナ変換 … More / 平面代数曲線 / 代数曲線 / 有理尖点曲線 / モジュライ / 射影直線の巡回被覆曲線 / 巡回被覆曲線 / ワイエルシュトラス重複度 / Cremona transformation / gonality / singularity / 対数的小平次元 / maximal multiplicity / projective equivalence / place at infinity / quadratic transformation / multiplicity sequence / cuspidal curve / rational curve / 変形 / 重複度 / 特異点解消 / 環と体 / 重複度列 / 2次変換 / 尖点 / 有理曲線 / 総ミルナー数 / foliation / monifold / modular group / projective space / singularities / algebraic surface / Betti number / cyclic covering / 概接触構造 / 量子束 / 4元数 / Bellman方程式 / 葉層 / 多様体 / モジュラー群 / ベッチ数 / 射影空間 / 有理関数体 / 変曲点 / セクスタクティック点 / 自己同型群 / 分岐点 / 双対曲線 / 対数的自由超平面 / アレクサンダー多項式 / 不正則数 / 付値 / ゼータ関数 / K3曲面 / 代数多様体 … More Except Principal Investigator ゼータ関数 / ディラック作用素 / Dirac operator / Spin / トウィスター / スピン / 特異点 / Dirac structure / almost Dirac structure / Lie algebroid / chiral anomaly / カイラルアノマリー / 写像度 / ブロー解析的写像 / Cohen-Macaulay性 / Thom-Boardman多様体 / 写像の特異点 / twistor / ヤコビ形式 / ジーゲルモジュラ形式 / 半整数の重さのモジュラ形式 / モジュラ形式 / 平面曲線 / 指数 / 葉層構造 / Maass wave form / modular forms / Jacobi form / zeta function / modular forms of half integral weight / ヒルベルトモジュラ形式 / マース空間 / singular foliation / multi-vector field / Schouten bracket / Poisson manifold / ディラック構造 / 特異葉層構造 / 多重ベクトル場 / スカウテン・ブラケット / Poisson多様体 / umblics and line of curvature / jet sapce / classical differential geometry / Cohen-Macaulay property / pertuabtion / Thom-Boardman set / Singularity of Map / 実解析関数の特異点 / Sardの定理 / Lipshitz性 / 幾何学的方法 / 自由分解 / Lipschitz性 / ブロー解析写像 / 劣解析写像 / オイラー数 / 特異点論 / 臍点と曲率線 / ジェット空間 / 古典微分幾何 / コーエン=マコーレイ性 / 摂動 / トム=ボードマン集合 / twistor space / Spin^q / 断熱変換 / カイラル / カイラルギャップ / スーパートレース / 断熱 / 断熱展開 / ディラック / トウィスター空間 / 四元数スピン / Discriminant / Algebraic number field / Discontinuous group / Number theory / 判別式 / 代数体 / 不連続群 / 数論 / 四元数 / Newton filtration / modified analytic trivialization / blow-analytic map / Representation of general linear group / Cohen-Macaaulay property / Thom-Boardman manifolds / Singularities of maps / 特異曲面 / 改変後解析性 / 曲面の臍点 / ニュートンフィルトレーション / 改変後自明性 / 一般線形群の表現 / analytic torsion / Seiberg-Witten / eta invariant / signature operator / adiabatic limit / 解析的トーション / サイバーグ・ウィッテン / エータ不変量 / 指数作用素 / 断熱極限 / singularity / Prehomogenous / Zeta function / ベルアン方程式 / CR部分多様体 / セキュリティー / ミルナ-数 / デジタル署名 / b関数 / 概均質ベクトル空間 / Mordell-Weil lattice / K3 surface / Calabi-Yau manifold / polarigation / Hamming code / moduli space / code / algebraic geemetry / 群スキーム / P進一意化 / 共形場理論 / 量子コホモロジー / ミラーシンメトリー / Hodge理論 / Golay符号 / 形式群 / p-進一意化 / 多項式 / 正標数 / Mordell-Weil格子 / K3曲面 / カラビ・ヤウ多様体 / 偏極 / Hamming符号 / モジュライ空間 / 符号 / 代数幾何学 / MHD-作用素 / 有理突点曲線 / 正規曲面 / 特性類 / 実部分多様体 / 複数射影空間 / ルールド構造 / サイクリックコホモロジー / 部分多様体 / 磁気面 / 有限要素法 / 体質的スペクトル / 線形化MHD作用素 / 磁気流体 / 第二基本テンソル / 横断的 / Weyl接続 / 分布 / Kaehler多様体 / 直線バンドル / 田中-Webster接続 / 実超曲面 / CR-Weyl接続 / CR多様体 / 微分幾何 / ブリルニネーター理 / ブリル=ネーター理 / 特殊線形系 / 代数曲線 / 代数幾何 / 有限群 / 半整数9重さ9モジュラ形式 / ヤュビ形式 / 保型形式 / ロボットアーム / 粘性解 / 特異境界条件 / 近似可制御性 / 最適制御 / 可制御性 / Kodaira dimension / minimal hypersurface / First normal space / 指数定理 / 四元数スピン構造 / 複素スピン構造 / スピン構造 / 超局所(microlral) / 概均質(prehomogeneouo) / ガウス・ボンネ作用素 / L^2コホモロジ- / Shape Operator / 射影空間 / 二次特性類 Less

On the gonality of plane algebraic curvesPrincipal Investigator
- Principal Investigator
  
  SAKAI Fumio
- Project Period (FY)
  2015 – 2018
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
The geometry of higher Weierstrass points and moduli spaces of plane algebraic curvesPrincipal Investigator
- Principal Investigator
  
  SAKAI Fumio
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
On plane algebraic curves having only cusps as their singular points
- Principal Investigator
  
  TONO Keita
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
On rational functions and singularities of plane algebraic curvesPrincipal Investigator
- Principal Investigator
  
  SAKAI Fumio
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
Linear Systems on Algebraic Curves and its Applications
- Principal Investigator
  
  OHBUCHI Akira
- Project Period (FY)
  2007 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  The University of Tokushima
Study of CR-Weyl structures
- Principal Investigator
  
  SAKAMOTO Kunio
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
An arithmetic study of modular forms of half integral weight and Siegel modular forms
- Principal Investigator
  
  KOJIMA Hisashi
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
Arithmetic study of Fourier coefficients of modular forms of half integral weight and Siegel modular forms
- Principal Investigator
  
  KOJIMA Hisashi
- Project Period (FY)
  2004 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  SAITAMA UNIVERSITY
Geometry of singularities of mapping II
- Principal Investigator
  
  FUKUI Toshizumi
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
Geometry of plane algebraic curvesPrincipal Investigator
- Principal Investigator
  
  SAKAI Fumio
- Project Period (FY)
  2003 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
Research On the Geometry Related with Structures of Manifolds and Plane Fields
- Principal Investigator
  
  MIZUTANI Tadayoshi
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
Study on the arithmetic discontinuous groups
- Principal Investigator
  
  TAKEUCHI Kisao
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
Study on the anomaly of Spin^q manifolds
- Principal Investigator
  
  NAGASE Masayoshi
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
Geometry of singularities of maps
- Principal Investigator
  
  FUKUI Toshizumi
- Project Period (FY)
  1999 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
Spin^q structures and the adiabatic limit
- Principal Investigator
  
  NAGASE Masayoshi
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
数式処理による平面曲線の研究Principal Investigator
- Principal Investigator
  
  酒井文雄
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Saitama University
Algebraic Geometry of Plane CurvesPrincipal Investigator
- Principal Investigator
  
  SAKAI Fumio
- Project Period (FY)
  1997 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Algebra
- Research Institution
  Saitama University
Research on the global structure of manifold
- Principal Investigator
  
  NAGASE Masayoshi
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
The study of the pole of the zeta function.
- Principal Investigator
  
  YANO Tamaki
- Project Period (FY)
  1996 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Saitama University
無限巡回被覆に関するアレクサンダー多項式の研究Principal Investigator
- Principal Investigator
  
  酒井文雄
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Saitama University
Orenall Study on Algebraic Varieties and its Applications
- Principal Investigator
  
  KATSURA Toshiyuki
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  University of Tokyo
On Birational Geometry of Algebraic VarietiesPrincipal Investigator
- Principal Investigator
  
  SAKAI Fumio
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
代数多様体の分類Principal Investigator
- Principal Investigator
  
  酒井文雄
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saitama University
多様体の総合的研究
- Principal Investigator
  
  奥村正文
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Saitama University
特異な境界条件を持った偏微分方程式の最適制御理論
- Principal Investigator
  
  辻岡邦夫
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Saitama University
多様体の大域的構造の研究
- Principal Investigator
  
  長瀬正義
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Saitama University
多様体の幾何学的構造の研究
- Principal Investigator
  
  水谷忠良
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Saitama University
概均質空間の構造の研究とその応用
- Principal Investigator
  
  矢野環
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Saitama University
代数多様体の構造Principal Investigator
- Principal Investigator
  
  酒井文雄
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Saitama University
多様体の総合的研究
- Principal Investigator
  
  奥村正文
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Saitama University
微分方程式の解の構造の研究とその応用
- Principal Investigator
  
  加古孝
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Saitama University

[Book] AFFINE ALGEBRAIC GEOMETRY2013
- Author(s)
  K. Masuda, H. Kojima, T. Kishimoto, I. Arzhantsev, M. Zaidenberg, M. Furushima, A. Ishida, R. V. Gurjar, M. Koras, M. Miyanishi, P. Russell, E. Kobayashi, S. Kuroda, T. Ohta, V. L. Popov, F. Sakai, Y. Takeda, R. Tanimoto, H. Yoshihara, 戸野恵太、他
- Total Pages
  330
- Publisher
  World Scientific Publishing
- Data Source
  KAKENHI-PROJECT-22540040
[Book] Affine Algebraic Geometry, Proceedings of the Conference2013
- Author(s)
  Fumio Sakai
- Total Pages
  352
- Publisher
  World Scientific Publishing
- Data Source
  KAKENHI-PROJECT-23540041
[Book] 平面代数曲線2013
- Author(s)
  酒井文雄
- Total Pages
  204
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-23540041
[Book] 大学数学の基礎2012
- Author(s)
  酒井文雄
- Total Pages
  137
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-23540041
[Book] 大学数学の基礎2011
- Author(s)
  酒井文雄
- Total Pages
  137
- Publisher
  共立出版
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] On Perez del Pozo's lower bound of Weierstrass weight2018
- Author(s)
  Nan Wangyu, Masumi Kawasaki, Fumio Sakai
- Journal Title
  
  Kodai Math. J.
  
  Volume: 41 Pages: 332-347
- NAID
  130007402837
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04806
[Journal Article] On Perez del Pozo's lower bound of Weierstrass weight2017
- Author(s)
  Nan Wangyu, Masumi Kawasaki, Fumio Sakai
- Journal Title
  
  第14回代数曲線シンポジウム報告集
  
  Volume: - Pages: 129-140
- NAID
  130007402837
- Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04806
[Journal Article] Invariants of cyclic coverings of the projective line2016
- Author(s)
  Fumio Sakai
- Journal Title
  
  代数幾何シンポジウムの記録（電子報告）
  
  Volume: -
- Open Access
- Data Source
  KAKENHI-PROJECT-15K04806
[Journal Article] Hyperelliptic curves among cyclic coverings of the projective line II2014
- Author(s)
  Nan Wang, and Fumio Sakai
- Journal Title
  
  Arch. Math.
  
  Volume: 102 Pages: 113-116
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540041
[Journal Article] The gonality of singular plane curves revisited2013
- Author(s)
  Sakai,F.
- Journal Title
  
  第10回代数曲線論シンポジウム報告集
  
  Volume: なし Pages: 71-79
- Data Source
  KAKENHI-PROJECT-23540041
[Journal Article] The gonality of singular plane curves II2013
- Author(s)
  Sakai,F.
- Journal Title
  
  Proceedings of Affine Algebraic Geometry, Osaka 2011
  
  Volume: なし
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540041
[Journal Article] Hyperelliptic curves among cyclic coverings of the projective line I2013
- Author(s)
  Nan Wang, Masumi Kawasaki and Fumio Sakai
- Journal Title
  
  Arch. Math.
  
  Volume: 101 Pages: 479-484
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540041
[Journal Article] The 3-Weierstrass points on genus two curves with extra involutions2011
- Author(s)
  Mohamed Farahat, Fumio Sakai
- Journal Title
  
  Saitama Math. J
  
  Volume: Vol.28 Pages: 1-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] The 3-Weierstrass points on genus two curves with extra involutions2011
- Author(s)
  Farahat,M. and Sakai,F.
- Journal Title
  
  Saitama Math. J.
  
  Volume: 28 Pages: 1-12
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540041
[Journal Article] Mohammad Saleem and Keita. Tono, Hyperelliptic plane curves of type(d, d-2)2010
- Author(s)
  Fumio Sakai
- Journal Title
  
  Beitrage zur Algebra und Geometri 51
  
  Pages: 31-44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Weierstrass points and S4 geometry of Picard curves2010
- Author(s)
  Fumio Sakai
- Journal Title
  
  School in Algebraic Geometry 3
  
  Pages: 143-158
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] S4 geometry of Picard curves2010
- Author(s)
  Weierstrass points, Fumio Sakai
- Journal Title
  
  School in Algebraic Geometry
  
  Volume: Vol.3 Pages: 143-158
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Hyperelliptic plane curves of type (d, d-2)2010
- Author(s)
  Fumio Sakai, Mohammad Saleem, Keita. Tono
- Journal Title
  
  Beitrage zur Algebra und Geometri
  
  Volume: Vol.51 Pages: 31-44
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Hyperelliptic plane curves of type (d,d-2)2010
- Author(s)
  F.Sakai, M.Saleem, K.Tono
- Journal Title
  
  Beitrage zur Algebra und Geometri
  
  Volume: 51 Pages: 67-82
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Kamel and Geometry and computation of 2-Weierstrass points on Kuribayashi quartic curves2009
- Author(s)
  Alwaleed, Fumio Sakai
- Journal Title
  
  Saitama Math. J
  
  Volume: Vol.26 Pages: 67-82
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Geometry and computation of 2-Weierstrass points on Kuribayashi quartic curves2009
- Author(s)
  Kamel Alwaleed, Fumio Sakai
- Journal Title
  
  Saitama Math.J. 26
  
  Pages: 67-82
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Geometry and computation of 2-Weierstrass points on Kuribayashi quartic curves2009
- Author(s)
  K.Alwaleed, F.Sakai
- Journal Title
  
  Saitama Math.J. 26
  
  Pages: 67-82
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Geometry of Weierstrass points for 2-parameter families of plane curves2008
- Author(s)
  Fumio Sakai
- Journal Title
  
  第6回代数曲線論シンポジウム報告集(神奈川大学)
  
  Pages: 94-103
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Geometry of Weierstrass 3 points for 2-parameter families of plane curves2008
- Author(s)
  Fumio Sakai
- Journal Title
  
  第6回代数曲線論シンポジウム報告集
  
  Pages: 94-103
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] Geometry of Weierstrass points for 2-parameter families of plane curves2008
- Author(s)
  F. Sakai
- Journal Title
  
  第6回代数曲線論シンポジウム報告集
  
  Pages: 94-103
- Data Source
  KAKENHI-PROJECT-20540038
[Journal Article] On the gonality of singular plane curves2007
- Author(s)
  F.Sakai:
- Journal Title
  
  2006代数幾何学シンポジウム報告集
  
  Pages: 32-48
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] On the gonality of singular plane curves2007
- Author(s)
  F.Sakai
- Journal Title
  
  2006代数幾何学シンポジウム報告集
  
  Pages: 32-48
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] On the gonality of singular plane curves2007
- Author(s)
  F.Sakai
- Journal Title
  
  Proceedings of Algebraic Geometry Conference 2006
  
  Pages: 32-48
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Lower bounds for the gonality of singular plane curves2006
- Author(s)
  F.Sakai
- Journal Title
  
  Abstracts of short communications, International Congress of Mathematicians Madrid 2006
  
  Pages: 261-261
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Elliptic and hyperelliptic plane curves of type (d,d-2)2006
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Abstracts of short communications, International Congress of Mathemacians Madrid 2006
  
  Pages: 262-262
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Lower bounds for the gonality of singular plaen curves2006
- Author(s)
  F.Sakai
- Journal Title
  
  Abstracts of short communications, International Congress of Mathemacians Madrid 2006
  
  Pages: 261-261
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Lower bounds for the gonality of singular plane curves2006
- Author(s)
  F.Sakai
- Journal Title
  
  Proc.3rd Symposium of Algebraic Curves
  
  Pages: 114-123
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Elliptic and hyper-elliptic plane curves of type (d, d-2)2006
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Abstracts of short communications, International Congress of Mathematicians Madrid 2006
  
  Pages: 262-262
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Elliptic and hyperelliptic plane curves of type (d,d-2)2006
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Abstracts of short communications, International Congress of Mathematicians Madrid 2006
  
  Pages: 262-262
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Lower bounds for the gonality of singular plane curves2006
- Author(s)
  F.Sakai
- Journal Title
  
  第三回代数幾何シンポジウム報告集,Chuo Univ.
  
  Pages: 114-123
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Lower bounds for the gonality of singular plaen curves2006
- Author(s)
  F.Sakai
- Journal Title
  
  Abstracts of short communications, International Congress of Mathematicians Madrid 2006
  
  Pages: 261-261
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Rational plane curves of type (d,d-2)2005
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Saitama Math. J. 22
  
  Pages: 11-34
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Rational plane curves of type (d,d-2)2005
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Saitama Math.J. 22
  
  Pages: 11-34
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Rational plane curves of type (d,d-2)2005
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Saitama Math.J.
- Data Source
  KAKENHI-PROJECT-14540008
[Journal Article] The gonality of singular curves2004
- Author(s)
  M.OHKOUCHI, F.SAKAI
- Journal Title
  
  Tokyo J.Math. 27
  
  Pages: 137-147
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540008
[Journal Article] The gonality of singular plane curves2004
- Author(s)
  M.Ohkouchi, F.Sakai
- Journal Title
  
  Tokyo J.Math. 27
  
  Pages: 137-147
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Rational plane curves of type (d, d-2)2004
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Saitama Math. J. 22
  
  Pages: 11-34
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Rational plane curves of type(d,d-2)2004
- Author(s)
  F.SAKAI, M.SALEEM
- Journal Title
  
  Saitama Math.J. 22
  
  Pages: 11-34
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540008
[Journal Article] Rational plane curves of type (d,d-2)2004
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Saitama Math.J. 22
  
  Pages: 11-34
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540008
[Journal Article] The gonality of singular plane curves2004
- Author(s)
  M.Ohkouchi, F.Sakai
- Journal Title
  
  Tokyo J. Math. 27
  
  Pages: 137-147
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] The gonality of singular curves2003
- Author(s)
  M.Ohkouchi, F.Sakai
- Journal Title
  
  Tokyo Math.J. 27
  
  Pages: 207-254
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540008
[Journal Article] The gonality of singular plane curves2003
- Author(s)
  M.Ohkouchi, F.Sakai
- Journal Title
  
  Proc.Korea-Japan Joint Workshop in Math.
  
  Pages: 107-116
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540008
[Journal Article] The gonality of singular curves2003
- Author(s)
  M.OHKOUCHI, F.SAKAI
- Journal Title
  
  Proc.Korea-Japan Joint Workshop in Math.
  
  Pages: 107-116
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-14540008
[Journal Article] Rational plane curves of type (d,d-2)
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Saitama Math.J. To appear
- Data Source
  KAKENHI-PROJECT-15540007
[Journal Article] Rational plane curves of type (d,d-2)
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  Saitama Math.J. (to appear)
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-14540062
[Journal Article] Elliptic and hyperelliptic plane curves of type (d,d-2)
- Author(s)
  F.Sakai, M.Saleem
- Journal Title
  
  代数分科会講演アブストラクト
  
  Pages: 78-79
- Data Source
  KAKENHI-PROJECT-15540007
[Presentation] Weierstrass Weight, Theorems of Chowla and White, Terminal Lemma2016
- Author(s)
  酒井文雄
- Organizer
  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（大阪府大阪市）
- Year and Date
  2016-03-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04806
[Presentation] Invariants of cyclic coverings of the projective oline2016
- Author(s)
  酒井文雄
- Organizer
  代数幾何ミニシンポジウム
- Place of Presentation
  倉敷市民会館（岡山県，倉敷市）
- Year and Date
  2016-08-28
- Invited
- Data Source
  KAKENHI-PROJECT-15K04806
[Presentation] Whiteの定理、Chowlaの定理、巡回商特異点、射影直線の巡回被覆2016
- Author(s)
  酒井文雄
- Organizer
  東海大学談話会
- Place of Presentation
  東海大学湘南キャンパス（神奈川県平塚市）
- Year and Date
  2016-02-15
- Invited
- Data Source
  KAKENHI-PROJECT-15K04806
[Presentation] Towards computing the gonality of singular plane curves2015
- Author(s)
  酒井文雄
- Organizer
  第13回アフィン代数幾何研究集会
- Place of Presentation
  関西学院大学大阪梅田キャンパス
- Year and Date
  2015-03-06
- Invited
- Data Source
  KAKENHI-PROJECT-23540041
[Presentation] On the gonality of singular plane curves II2011
- Author(s)
  酒井文雄
- Organizer
  アフィン代数幾何研究集会
- Place of Presentation
  関西学院大梅田キャンパス
- Year and Date
  2011-03-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] 平面曲線族における高次ワイエルシュトラス点の計算2011
- Author(s)
  酒井文雄
- Organizer
  津山代数幾何シンポジウム
- Place of Presentation
  津山高専
- Year and Date
  2011-07-27
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] On the gonality of singular plane curves II2011
- Author(s)
  酒井文雄
- Organizer
  アフィン代数幾何研究集会
- Place of Presentation
  関西学院大梅田キャンパス(招待講演)
- Year and Date
  2011-03-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Geometry and computation of Weierstrass points2010
- Author(s)
  酒井文雄
- Organizer
  Tsuda College Mini-Workshop on Number Theory and Physics at the Crossroads
- Place of Presentation
  津田塾大学
- Year and Date
  2010-08-29
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] S4 geometry of 2-Weierstrass points on Kuribayashi quartic curves2010
- Author(s)
  K.Alwaleed, 酒井文雄
- Organizer
  日本数学会
- Place of Presentation
  慶応大学
- Year and Date
  2010-03-24
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] points Kuribayashi quartic curves2010
- Author(s)
  酒井文雄
- Organizer
  Tsuda College Mini-Workshop on Number Theory and Physics at the Crossroads
- Place of Presentation
  津田塾大学
- Year and Date
  2010-08-29
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] 2-Weierstrass points on Kuribayashi quartic curves2010
- Author(s)
  酒井文雄
- Organizer
  Tsuda College Mini-Workshop on Number Theory and Physics at the Crossroads
- Place of Presentation
  招待講演
- Year and Date
  2010-08-29
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Geometry and computation of Weierstrass points2009
- Author(s)
  酒井文雄
- Organizer
  Affine algebraic geometry
- Place of Presentation
  関西学院大学大阪梅田キャンパス
- Year and Date
  2009-09-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation]2009
- Author(s)
  酒井文雄
- Organizer
  Geometry and computation of Weierstrass points
- Place of Presentation
  神奈川大学富士見高原研修所(招待講演)
- Year and Date
  2009-09-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Geometry and computation of Weierstrass points2009
- Author(s)
  酒井文雄
- Place of Presentation
  神奈川大学富士見高原研修所
- Year and Date
  2009-09-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Weierstrass ponints and S4 geometry of Picard curves2008
- Author(s)
  酒井文雄
- Organizer
  Tsuda College Mini-Workshop on Number Theory and Physics at the Crossroads
- Place of Presentation
  津田塾大学
- Year and Date
  2008-08-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Weierstrass points and S4 geometry of Picard curves2008
- Author(s)
  酒井文雄
- Organizer
  A. ne Algebraic Geometry
- Place of Presentation
  Bangalore, India
- Year and Date
  2008-12-27
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Weierstrass points and S4 geometry of Picard curves2008
- Author(s)
  酒井文雄
- Organizer
  Tsuda College Mini-Workshop on Number Theory and Physics at the Crossroads
- Place of Presentation
  招待講演
- Year and Date
  2008-08-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Weierstrass points and S4 geometry of Picard curves2008
- Author(s)
  酒井文雄
- Organizer
  Affine Algebraic Geometry
- Place of Presentation
  Bangalore, India
- Year and Date
  2008-12-27
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Weierstrass points and S4 geometry of Picard curves2008
- Author(s)
  酒井文雄
- Organizer
  Affine Algebraic Geometry
- Place of Presentation
  Bangalore, India(招待講演)
- Year and Date
  2008-02-27
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] The gonality and the genus of singular plane curves2008
- Author(s)
  酒井文雄
- Organizer
  2nd NIMS School in Algebraic Geometry
- Place of Presentation
  Daejon, Korea(招待講演)
- Year and Date
  2008-05-12
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Weierstrass points and S4 geometry of Picard curves2008
- Author(s)
  酒井文雄
- Organizer
  Tsuda College Mini-Workshop on Number Theory and Physics at the Crossroads
- Place of Presentation
  津田塾大学
- Year and Date
  2008-08-05
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] The gonality and the genus of singular, plane curves2008
- Author(s)
  酒井文雄
- Organizer
  2nd NIMS School in Algebraic Geometry
- Place of Presentation
  Daejon, Korea
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] Geometry of Weierstrass points for 2-paramerter families of plane curves2008
- Author(s)
  酒井文雄
- Organizer
  第6回代数曲線論シンポジウム
- Place of Presentation
  神奈川工業大学
- Year and Date
  2008-12-16
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] The gonality and the genus of singular plane curves2008
- Author(s)
  酒井文雄
- Organizer
  2nd NIMS School in Algebraic Geometry
- Place of Presentation
  Daejon, Korea
- Year and Date
  2008-05-12
- Data Source
  KAKENHI-PROJECT-20540038
[Presentation] The gonality of singular plane curves revisited II
- Author(s)
  酒井文雄
- Organizer
  第11回代数曲線シンポジウム
- Place of Presentation
  首都大学東京
- Invited
- Data Source
  KAKENHI-PROJECT-23540041
[Presentation] Hyperelliptic and trigonal curves among cyclic coverings of the projective line
- Author(s)
  王楠，酒井文雄
- Organizer
  日本数学会
- Place of Presentation
  学習院大学
- Data Source
  KAKENHI-PROJECT-23540041
[Presentation] Towards the gonality of singular plane curves
- Author(s)
  酒井文雄
- Organizer
  Symposium on Projective Algebraic Varieties & Moduli
- Place of Presentation
  ソウル大学（ソウル）
- Invited
- Data Source
  KAKENHI-PROJECT-23540041
[Presentation] 平面曲線族における高次ワイエルシュトラス点の計算
- Author(s)
  酒井文雄
- Organizer
  津山代数幾何シンポジウム
- Place of Presentation
  津山高専
- Data Source
  KAKENHI-PROJECT-23540041
[Presentation] The gonality of singular plane curves revisited
- Author(s)
  酒井文雄
- Organizer
  第10回代数曲線論シンポジウム
- Place of Presentation
  日本大学（東京都）
- Data Source
  KAKENHI-PROJECT-23540041

1. MIZUTANI Tadayoshi (20080492)

# of Collaborated Projects: 16 results

# of Collaborated Products: 0 results
2. OKUMURA Masafumi (60016053)

# of Collaborated Projects: 13 results

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# of Collaborated Projects: 13 results

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# of Collaborated Projects: 13 results

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8. KOIKE Shigeaki (90205295)

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10. SATOH Takakazu (70215797)

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23. 加古孝 (30012488)

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24. KAWASAKI Masumi

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25. WANGYU Nan

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26. OHTA Masahito (00291394)

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27. OHBUCHI Akira (10211111)

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28. KATO Takao (10016157)

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49. FARAHAT Mohamed

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SAKAI Fumio 酒井 文雄

酒井 文雄

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On the gonality of plane algebraic curvesPrincipal Investigator

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The geometry of higher Weierstrass points and moduli spaces of plane algebraic curvesPrincipal Investigator

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On rational functions and singularities of plane algebraic curvesPrincipal Investigator

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Geometry of plane algebraic curvesPrincipal Investigator

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SAKAI Fumio 酒井文雄

酒井文雄