SAKAI Fumio 酒井文雄

… Alternative Names

Researcher Number	40036596
Affiliation (Current)	2019: 埼玉大学, 理工学研究科, 名誉教授
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
Review Section/Research Field	Principal Investigator Algebra / Algebra / 代数学・幾何学 Except Principal Investigator Geometry / 解析学 / Algebra / 代数学・幾何学 / Geometry / Algebra
Keywords	Principal Investigator 特異点 / 代数曲面 / 平面曲線 / 巡回被覆 / ゴナリティ / ワイエルシュトラス点 / モジュライ / 有理尖点曲線 / 代数幾何 / 代数曲線 … More Except Principal Investigator ディラック作用素 / ゼータ関数 / 特異点 / スピン / トウィスター / Spin / Dirac operator / 葉層構造 / 指数 / 平面曲線 / モジュラ形式 / 半整数の重さのモジュラ形式 / ジーゲルモジュラ形式 / ヤコビ形式 / twistor / 写像の特異点 / Thom-Boardman多様体 / Cohen-Macaulay性 / ブロー解析的写像 / 写像度 / カイラルアノマリー / chiral anomaly / Lie algebroid / almost Dirac structure / Dirac structure / 二次特性類 / 射影空間 / Shape Operator / L^2コホモロジ- / ガウス・ボンネ作用素 / 概均質(prehomogeneouo) / 超局所(microlral) / スピン構造 / 複素スピン構造 / 四元数スピン構造 / 指数定理 / First normal space / minimal hypersurface / Kodaira dimension / 可制御性 / 最適制御 / 近似可制御性 / 特異境界条件 / 粘性解 / ロボットアーム / 保型形式 / ヤュビ形式 / 半整数9重さ9モジュラ形式 / 有限群 / 代数幾何 / 代数曲線 / 特殊線形系 / ブリル=ネーター理 / ブリルニネーター理 / 微分幾何 / CR多様体 / CR-Weyl接続 / 実超曲面 / 田中-Webster接続 / 直線バンドル / Kaehler多様体 / 分布 / Weyl接続 / 横断的 / 第二基本テンソル / 磁気流体 / 線形化MHD作用素 / 体質的スペクトル / 有限要素法 / 磁気面 / 部分多様体 / サイクリックコホモロジー / ルールド構造 / 複数射影空間 / 実部分多様体 / 特性類 / 正規曲面 / 有理突点曲線 / MHD-作用素 / 代数幾何学 / 符号 / モジュライ空間 / Hamming符号 / 偏極 / カラビ・ヤウ多様体 / K3曲面 / Mordell-Weil格子 / 正標数 / 多項式 / p-進一意化 / 形式群 / Golay符号 / Hodge理論 / ミラーシンメトリー / 量子コホモロジー / 共形場理論 / P進一意化 / 群スキーム / algebraic geemetry / code / moduli space / Hamming code / polarigation / Calabi-Yau manifold / K3 surface / Mordell-Weil lattice / 概均質ベクトル空間 / b関数 / デジタル署名 / ミルナ-数 / セキュリティー / CR部分多様体 / ベルアン方程式 / Zeta function / Prehomogenous / singularity / 断熱極限 / 指数作用素 / エータ不変量 / サイバーグ・ウィッテン / 解析的トーション / adiabatic limit / signature operator / eta invariant / Seiberg-Witten / analytic torsion / 一般線形群の表現 / 改変後自明性 / ニュートンフィルトレーション / 曲面の臍点 / 改変後解析性 / 特異曲面 / Singularities of maps / Thom-Boardman manifolds / Cohen-Macaaulay property / Representation of general linear group / blow-analytic map / modified analytic trivialization / Newton filtration / 四元数 / 数論 / 不連続群 / 代数体 / 判別式 / Number theory / Discontinuous group / Algebraic number field / Discriminant / 四元数スピン / トウィスター空間 / ディラック / 断熱展開 / 断熱 / スーパートレース / カイラルギャップ / カイラル / 断熱変換 / Spin^q / twistor space / トム=ボードマン集合 / 摂動 / コーエン=マコーレイ性 / 古典微分幾何 / ジェット空間 / 臍点と曲率線 / 特異点論 / オイラー数 / 劣解析写像 / ブロー解析写像 / Lipschitz性 / 自由分解 / 幾何学的方法 / Lipshitz性 / Sardの定理 / 実解析関数の特異点 / Singularity of Map / Thom-Boardman set / pertuabtion / Cohen-Macaulay property / classical differential geometry / jet sapce / umblics and line of curvature / Poisson多様体 / スカウテン・ブラケット / 多重ベクトル場 / 特異葉層構造 / ディラック構造 / Poisson manifold / Schouten bracket / multi-vector field / singular foliation / マース空間 / ヒルベルトモジュラ形式 / modular forms of half integral weight / zeta function / Jacobi form / modular forms / Maass wave form Less

On the gonality of plane algebraic curvesPrincipal Investigator
- Principal Investigator
  
  酒井文雄
- 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] 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] 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] 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 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 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 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] 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] 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] 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)
  K.Alwaleed, F.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)
  Kamel Alwaleed, Fumio 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)
  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] 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] 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] 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] 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] 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
  
  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] 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
- 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.
- 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
- 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] 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 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] 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] 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] 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] 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
[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
[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] 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] 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] 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
- 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] 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] 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] 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] 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] 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
[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

1. MIZUTANI Tadayoshi (20080492)

# of Collaborated Projects: 16 results

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

# of Collaborated Projects: 13 results

# of Collaborated Products: 0 results
3. NAGASE Masayoshi (30175509)

# of Collaborated Projects: 13 results

# of Collaborated Products: 0 results
4. FUKUI Toshizumi (90218892)

# of Collaborated Projects: 13 results

# of Collaborated Products: 0 results
5. YANO Tamaki (10111410)

# of Collaborated Projects: 10 results

# of Collaborated Products: 0 results
6. TAKEUCHI Kisao (00011560)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
7. SAKAMATO Kunio (70089829)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
8. KOIKE Shigeaki (90205295)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
9. EBIHARA Madoka (80213578)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
10. SATOH Takakazu (70215797)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
11. EGASHIRA Shinji (00261876)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
12. 木村真琴 (30186332)

# of Collaborated Projects: 5 results

# of Collaborated Products: 0 results
13. KOJIMA Hisashi (90146118)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
14. SHIMOKAWA Koya (60312633)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
15. 金銅誠之 (50186847)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
16. IZUMI Shuzo (80025410)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
17. NAGASAWA Takeyoki (70202223)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
18. TONO Keita (30422215)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
19. ARAI Michio (40008850)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
20. KOIKE Satoshi (60161832)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
21. KISHIMOTO Takashi (20372576)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
22. 辻岡邦夫 (30012412)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
23. 加古孝 (30012488)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
24. OHTA Masahito (00291394)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. OHBUCHI Akira (10211111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. KATO Takao (10016157)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. YONEDA Jiryo (90162065)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. HONMA Masaaki (80145523)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. KATSURA Toshiyuki (40108444)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. MUKAI Shigeru (80115641)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. MORI Shigefumi (00093328)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. MIYANISHI Masayoshi (80025311)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
33. FUJITA Takao (40092324)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
34. 桜井力 (40187084)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 佐藤祐吉 (80008812)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. 夏目利一 (00125890)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. 諏訪立雄 (40109418)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. 丸山正樹 (50025459)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. 塩田徹治 (00011627)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
40. 宮岡洋一 (50101077)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
41. GON Yasuro (30302508)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
42. 押切源一 (70133931)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
43. 川田浩一 (70271830)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
44. 沼田稔 (50028255)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
45. 小宮山晴夫 (90042762)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
46. 宮井秋男 (70003960)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
47. KAWASAKI Masumi

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
48. WANGYU Nan

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
49. FARAHAT Mohamed

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results

SAKAI Fumio 酒井 文雄

酒井 文雄

Research Projects

Research Products

Co-Researchers

On the gonality of plane algebraic curvesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

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

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

On rational functions and singularities of plane algebraic curvesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Geometry of plane algebraic curvesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Principal Investigator

SAKAI Fumio 酒井文雄

酒井文雄