OGATA Shoetsu 尾形庄悦

… Alternative Names

尾形庄悦オガタシヨウエツ

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Researcher Number	90177113
Other IDs
External Links
Affiliation (Current)	2025: 東北大学, 理学研究科, 客員研究者
Affiliation (based on the past Project Information) *help	2023: 東北大学, 理学研究科, 客員研究者 2019 – 2022: 東北大学, 理学研究科, 准教授 2016: 東北大学, 理学研究科, 准教授 2011 – 2015: 東北大学, 理学(系)研究科(研究院), 准教授 2013: 東北大学, 大学院理学研究科, 准教授 … More 2007 – 2010: Tohoku University, 大学院・理学研究科, 准教授 2006: Tohoku University, Graduate School of Science, Associate Professor, 大学院理学研究科, 助教授 1995 – 2006: 東北大学, 大学院・理学研究科, 助教授 1995: 東北大学, 理学研究科, 助教授 1993 – 1994: 東北大学, 理学部, 助教授 1991 – 1992: 東北大学, 教養部, 助教授 1987 – 1988: 東北大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra / Geometry / 代数学・幾何学 / Algebra / 解析学 / Basic analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator トーリック多様体 / 代数幾何学 / ファノ多様体 / toric variety / 凸多面体 / 代数学 / 代数幾何 / 符号数不足指数 / 格子多面体 / algebraic geometry … More / convex polytope / アーベル多様体 / トロピカル幾何 / 孤立特異点 / Kaehler metric / Fano variety / abelian surface / convex polytpe / ケーラー計量 / アーベル曲面 / カラビ・ヤウ多様体 / ミンコフスキー和 / 幾何学 / 凸体 / チューブ領域 / 射影的正規性 / 定義イデアル / エータ関数 / リー群 / リーマン面の退化 / アーベル多様体の退化 / カスプ特異点 … More Except Principal Investigator トーリック多様体 / トーラス作用 / ラインハルト領域 / 代数多様体 / 可換環論 / 代数幾何 / Reinhardt domain / 量子群 / 概均質ベクトル空間 / 楕円曲線 / 密度定理 / 不定方程式 / CR-structure / Holomorphic automorphism group / Holomorphic equivalence problem / 二木指標 / CR構造 / 正則自己同型群 / 正則同値問題 / 有理点 / 代数群 / モチーフ / リー群 / チューブ領域 / 代数曲面 / F-特異点 / フロベニウス写像 / 特異点 / Castelnuovo-Mumford / Castelnuovo / シジジー / 極小自由分解 / 多項式イデアル / 射影多様体 / 極小曲面 / 平均曲率 / 調和写像 / 多変数代数関数体 / 複素多様体の分岐被覆 / Frobenius / Motif / Algebraic cycles / Toric Variety / Prehomogeneous vector spaces / 対数的代数幾何 / 密着閉包 / test ideal / 対数アーベル多様体 / 代数的サイクル / Mordell-Weil group / elliptic curves / tight closure / F-singularities / Q-curves / toric varieties / density theorems / class number / キーワード8 / キーワード7 / キーワード6 / 既均質ベクトル空間 / 可積分系 / 密着閉方 / Q-曲線 / 類数 / Constant mean curvature / Stability / Lie group / Tube domain / 球面状境界点 / 一般複素楕円体 / 安定性 / BELIAN VARIETY / ALGEBRAIC SURFACES / DIOPHANTINE EQUATION / K3 SURFACE / HEIGHT / RATIONAL POINTS / ALGEBRAIC VARIETY / 数論的幾何学 / 整数点 / アーベル多様体 / K3曲面 / 高さ / Tangential Cauchy-Riemann equation / Futaki character / Torus action / Complex bounded domain / 接コ-シ-・リーマン方程式 / アーベル多様体の退化 / 同変調和写像 / 接コーシー・リーマン方程式 / 複素有界領域 / ゼータ関数 / 錐体 / 対称領域 / 光点特異点 / 数論的多様体 / Del Pezzo多様体 / Buchsbaum多様体 / Buchsbaum 多様体 / 自由分解 / 代数幾何学 / Horrocks判定法 / Castelnuovo-Mumford正則量 / 代数多様本 / モティーフ / トーリック / 循環商特異点 / 凸多面体 / 扇 / CR多様体 / アインシュタイン・ケーラー計量 / 正則ベクトル場 / 複素幾何学 / 特殊領域 / 関数論 / F-分裂次元 / 随伴束 / F-純特異点の最小中心 / 対数的標準閾特異点 / 組の特異点 / 半安定性 / 擬斉次 / Hilbert-Kunz重複度 / F-爆発 / Q-Gorenstein性 / ベクトル束 / フロベニウス射 / F-正則性 / F-跳躍数 / F-純閾値 / 正標数 / del pezzo surface / projective curve / del Pezzo surface / projective curv / free resolution / syzygy / Del Pezzo / Mumford / 交叉性定理 / 剛性 / 部分多様体 / 超準的手法 / 逆数学 / 2階算術 / 数学基礎論 / (+)-部分グラフ / (+)-fcd / 有向グラフ / tense葉層 / 極小部分多様体 / 葉層 / 主束 / 等長変換群 / リーマン幾何 / 本質的スペクトル / ヘリコイド / カテノイド / モース指標 / 極小超曲面 / スペクトル / シュレーディンガー作用素 / Nonlinear diffusion ineq. / Cusp singularity / Cyclic inequality / Matrix algebra / Nevanlinna class Less

偏極トーリック多様体の定義方程式と格子凸多面体の研究Principal Investigator
- Principal Investigator
  
  尾形庄悦
- Project Period (FY)
  2019 – 2024
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Tohoku University
Study on toric Fano varieties and Calabi-Yau hypersurfacesPrincipal Investigator
- Principal Investigator
  
  OGATA Shoetsu
- Project Period (FY)
  2014 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study on Minkowski sums of lattice polytoped and toric varietiesPrincipal Investigator
- Principal Investigator
  
  OGATA Shoetsu
- Project Period (FY)
  2011 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Castelnuovo-Mumford regularity for projective variety and its related topics
- Principal Investigator
  
  MIYAZAKI Chikashi
- Project Period (FY)
  2009 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
Extensions and applications of the theory of toric varieties
- Principal Investigator
  
  ISHIDA Masanori
- Project Period (FY)
  2007 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study on equivariant mapps of toric varieties and vector bundlesPrincipal Investigator
- Principal Investigator
  
  OGATA Shoetsu
- Project Period (FY)
  2007 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Algebro-Geometric Approach to Invariants in Commutative Algebra
- Principal Investigator
  
  HARA Nobuo
- Project Period (FY)
  2006 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study of special domains and its application to complex geometry
- Principal Investigator
  
  SHIMIZU Satoru
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
Castelnuovo-Mumford regularity for projective varieties
- Principal Investigator
  
  MIYAZAKI Chikashi
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Saga University
  University of the Ryukyus
Study on integral convex polytopes and toric varietiesPrincipal Investigator
- Principal Investigator
  
  OGATA Shoetsu
- Project Period (FY)
  2004 – 2006
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic Groups
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Number Theory and Geometry related to Algebraic Groups
- Principal Investigator
  
  YUKIE Akihiko
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study on toric varieties, vector bundles on them and their subvarietiesPrincipal Investigator
- Principal Investigator
  
  OGATA Shoetsu
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
Study of special domains
- Principal Investigator
  
  SHIMIZU Satoru
- Project Period (FY)
  1999 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
STUDY OF THE HEIGHTS AND THE DISTRIBUTION OF RATIONAL POINTS ON ALGEBRAIC VARIETIES
- Principal Investigator
  
  MORITA Yasuo
- Project Period (FY)
  1998 – 1999
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  TOHOKU UNIVERSITY
Study of group actions on complex manifolds
- Principal Investigator
  
  SHIMIZU Satoru
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
部分多様体の剛性の研究
- Principal Investigator
  
  剱持勝衛
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
トーリック多様体とその部分多様体の研究Principal Investigator
- Principal Investigator
  
  尾形庄悦
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
リーマン面の退化と実3次元多様体の研究Principal Investigator
- Principal Investigator
  
  尾形庄悦
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Tohoku University
葉層の微分幾何学的構造
- Principal Investigator
  
  押切源一
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
算術の部分体系とそのモデルについての研究
- Principal Investigator
  
  TANAKA Kazuyuki
- 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
  Tohoku University
正規特異点の研究Principal Investigator
- Principal Investigator
  
  尾形庄悦
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Algebra
- Research Institution
  Tohoku University
自然な計量をもった主束の等長変換群
- Principal Investigator
  
  高木斉
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  Geometry
- Research Institution
  Tohoku University
幾何学的変分法と大域解析
- Principal Investigator
  
  URAKAWA Hajime
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
正則関数に関連した関数空間
- Principal Investigator
  
  望月望
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
数論的光点特異点の研究
- Principal Investigator
  
  佐武一郎
- Project Period (FY)
  1988
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University
複素多様体の幾何学
- Principal Investigator
  
  難波誠
- Project Period (FY)
  1987
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  代数学・幾何学
- Research Institution
  Tohoku University

All 2023 2022 2019 2017 2016 2015 2014 2013 2012 2011 2010 2008 2006 2005 Other

All Journal Article Presentation

[Journal Article] Ample line bundles on Toric Fibered 3-folds2023
- Author(s)
  Shoetsu Ogata
- Journal Title
  
  Far East Journal of Mathematical Scienses
  
  Volume: 140 Pages: 71-87
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03394
[Journal Article] Toric 3-folds defined by quadratic binomials2022
- Author(s)
  Shoetsu Ogata
- Journal Title
  
  Beitr. Algebra Geom.
  
  Volume: - Issue: 2 Pages: 459-470
- DOI
  10.1007/s13366-022-00642-2
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19K03394
[Journal Article] A characterization of Gorenstein toric Del Pezzo n-folds2015
- Author(s)
  尾形庄悦　趙懐亮
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: 96
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400034
[Journal Article] A Characterization of Gorenstein Toric Del Pezzo n-folds2015
- Author(s)
  尾形庄悦, 超懐亮
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: 96 Pages: 1049-1064
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400034
[Journal Article] Projective normality of toric 3-folds with non-big hyperplane sections, II2014
- Author(s)
  尾形庄悦
- Journal Title
  
  Far East J. Math. Sci
  
  Volume: 84 Pages: 99-110
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] A Characterization of Gorenstein Toric Fano n-folds with Index n and Fujita's Conjecture2014
- Author(s)
  尾形庄悦, 超懐亮
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: 94 Pages: 65-88
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-26400034
[Journal Article] Nef and Big Divisors on Toric Weak Fano 3-Folds2014
- Author(s)
  尾形庄悦
- Journal Title
  
  International Mathematical Forum
  
  Volume: 9 Pages: 661-675
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-26400034
[Journal Article] Projective normality of toric 3-folds with non-big adjoint hyperplane sections, II2014
- Author(s)
  尾形　庄悦
- Journal Title
  
  Far East Journal of Mathematical Sciences
  
  Volume: 84 Pages: 99-110
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] Erratum to Very ample but not normal lattice polytopes2013
- Author(s)
  尾形庄悦
- Journal Title
  
  Beitr. Algebra Geom
  
  Volume: 54 Pages: 769-780
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] Very ample but not normal lattice polytopes2013
- Author(s)
  尾形　庄悦
- Journal Title
  
  Beitraege zur Algebra und Geometrie
  
  Volume: 54 Issue: 1 Pages: 291-302
- DOI
  10.1007/s13366-011-0077-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] Very ample but not normal lattice polytopes2013
- Author(s)
  尾形庄悦
- Journal Title
  
  Beitr. Algebra Geom
  
  Volume: 54 Pages: 291-302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] Erratum to : Very ample but not normal lattice polytopes2013
- Author(s)
  尾形　庄悦
- Journal Title
  
  Beitraege zur Algebra und Geometrie
  
  Volume: 54 Issue: 2 Pages: 769-770
- DOI
  10.1007/s13366-012-0136-0
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] Very ample but not normal lattice polytopes2013
- Author(s)
  Ogata Shoetsu
- Journal Title
  
  Beitr. Algebra Geom
  
  Volume: 54 Pages: 291-302
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540044
[Journal Article] Erratum to : Very ample but not normal lattice polytopes.2013
- Author(s)
  Ogata Shoetsu
- Journal Title
  
  Beitr Algebra Geom
  
  Volume: 54 Pages: 769-770
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540044
[Journal Article] Projective normality of toric 3-folds with non-big adjoint hyperplane sections2012
- Author(s)
  尾形　庄悦
- Journal Title
  
  東北数学雑誌
  
  Volume: 64
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] Projective normality of toric 3-folds with non-big adjoint hyperplane sections2012
- Author(s)
  Ogata Shoetsu
- Journal Title
  
  Tohoku Math. J
  
  Volume: 64 Pages: 125-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21540044
[Journal Article] Projective normality of toric 3-folds with non-big adjoint hyperplane sections2012
- Author(s)
  尾形庄悦
- Journal Title
  
  Tohoku Math. J
  
  Volume: 64 Pages: 125-140
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23540038
[Journal Article] On multiplication maps of ample bundles with nef bundles on toric surfaces2008
- Author(s)
  D. Kondo and S. Ogata
- Journal Title
  
  Interdisc. Inform. Sciences
  
  Volume: 14 Pages: 183-190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340001
[Journal Article] On multiplication maps of ample bundles with nef bundles on toric surfaces2008
- Author(s)
  尾形庄悦, 近藤大樹
- Journal Title
  
  Interdisc.Inform.Sciences 14-2巻
  
  Pages: 183-190
- Data Source
  KAKENHI-PROJECT-19540003
[Journal Article] On Multiplication maps of ample bundles with nefbundles on toric surfaces2008
- Author(s)
  尾形庄悦
- Journal Title
  
  Interdisciplinary Information Sciences 14
  
  Pages: 183-190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19540003
[Journal Article] On multiplication maps of ample bundles with nef bundles on toric surfaces2008
- Author(s)
  D. Kondo, S. Ogata
- Journal Title
  
  Interdisc. Inform. Sciences 14
  
  Pages: 183-190
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-19340001
[Journal Article] Multiplication maps of complete linear systems on projective toric surfaces2006
- Author(s)
  S.Ogata
- Journal Title
  
  Interdisciplinary Information Sciences 12
  
  Pages: 93-107
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] On higher syzygies of projective toric varieties2006
- Author(s)
  尾形庄悦
- Journal Title
  
  Mathematical Journal of Okayama University 48
  
  Pages: 47-55
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] Multiplication maps of complete linear systems on projective toric surfaces2006
- Author(s)
  尾形庄悦
- Journal Title
  
  Interdisciplinary Information Sciences 12
  
  Pages: 93-107
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] On higher syzygies of weighted projective spaces2006
- Author(s)
  S.Ogata
- Journal Title
  
  Mathematical Journal of Okayama University 48
  
  Pages: 47-55
- Data Source
  KAKENHI-PROJECT-18540007
[Journal Article] On higher syzygies of projective toric varieties2006
- Author(s)
  S.Ogata
- Journal Title
  
  Math. J. Okayama Univ. 48
  
  Pages: 47-55
- Data Source
  KAKENHI-PROJECT-18540154
[Journal Article] On higher syzygies of projective toric varieties2006
- Author(s)
  Shoetsu Ogata
- Journal Title
  
  Math. J. Okayama Univ. 48
  
  Pages: 47-55
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540035
[Journal Article] Degenerations and fundamental groups related to some special toric varieties2006
- Author(s)
  Amram Meirav and Shoetsu Ogata
- Journal Title
  
  Michigan Math. J. 54
  
  Pages: 587-610
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540035
[Journal Article] Multiplication maps of complete linear systems on projective toric surfaces2006
- Author(s)
  S.Ogata
- Journal Title
  
  Interdisciplinary Information Sciences 12
  
  Pages: 93-107
- Data Source
  KAKENHI-PROJECT-18540154
[Journal Article] Multiplication maps of complete linear systems on projective toric surfaces2006
- Author(s)
  S.Ogata
- Journal Title
  
  Interdisciplinary Information Sciences 12
  
  Pages: 93-107
- Data Source
  KAKENHI-PROJECT-18540007
[Journal Article] Degenerations and fundamental groups related to some special toric varieties2006
- Author(s)
  M.Amram, S.Ogata
- Journal Title
  
  Michigan Math. J. 54(3)
  
  Pages: 587-610
- Data Source
  KAKENHI-PROJECT-17540035
[Journal Article] On higher syzygies of projective toric varieties2006
- Author(s)
  S.Ogata
- Journal Title
  
  Math. J. Okayama Univ. 48
  
  Pages: 47-55
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] k-normality of weighted projective spaces2005
- Author(s)
  S.Ogata
- Journal Title
  
  Kodai Math.J. 28
  
  Pages: 519-524
- Data Source
  KAKENHI-PROJECT-17540035
[Journal Article] k-normakity of weighted projective spaces2005
- Author(s)
  尾形庄悦
- Journal Title
  
  Kodai Mathematical Journal 28
  
  Pages: 519-524
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] k-normality of weighted projective spaces2005
- Author(s)
  S.Ogata
- Journal Title
  
  Kodai Math. J. 28
  
  Pages: 519-524
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] k-normality of weighted projective spaces2005
- Author(s)
  Shoetsu Ogata
- Journal Title
  
  Kodai Math. J. 28
  
  Pages: 519-524
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540035
[Journal Article] K-normality of weighted progective spaces2005
- Author(s)
  尾形庄悦
- Journal Title
  
  Kodai Mathematical Journal (印刷中)
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] On quadratic generation of ideals defining projective toric Varieties.2005
- Author(s)
  S.Ogata
- Journal Title
  
  Kodai Math.J 28
  
  Pages: 519-524
- Data Source
  KAKENHI-PROJECT-15340001
[Journal Article] k-normality of weighted projective spaces2005
- Author(s)
  尾形庄悦
- Journal Title
  
  Kodai Mathematical Journal 28・3
  
  Pages: 519-524
- Data Source
  KAKENHI-PROJECT-16540004
[Journal Article] k-normality of weighted projective spaces
- Author(s)
  S.Ogata
- Journal Title
  
  Kodai Math.J. To appear
- Data Source
  KAKENHI-PROJECT-15340001
[Presentation] Toric 3-folds defined by quadratic binomials2019
- Author(s)
  尾形庄悦
- Organizer
  都の西北代数幾何学シンポジウム2019
- Data Source
  KAKENHI-PROJECT-19K03394
[Presentation] On ideals defining toric 3-folds2017
- Author(s)
  尾形　庄悦
- Organizer
  農工大数学セミナー2017
- Place of Presentation
  東京農工大学
- Year and Date
  2017-03-21
- Data Source
  KAKENHI-PROJECT-26400034
[Presentation] On ideals defining toric varieties2016
- Author(s)
  尾形　庄悦
- Organizer
  EMS Summer School on Multigraded Algebra and Applications
- Place of Presentation
  Moieciu de Sus, Romania
- Year and Date
  2016-08-17
- Data Source
  KAKENHI-PROJECT-26400034
[Presentation] On ideals defining toric varieties2015
- Author(s)
  尾形庄悦
- Organizer
  KAIST 代数幾何セミナー
- Place of Presentation
  KAIST(韓国科学技術院)、大田(韓国)
- Year and Date
  2015-09-22
- Data Source
  KAKENHI-PROJECT-26400034
[Presentation] Normality of a certain class of lattice polytopes2013
- Author(s)
  尾形庄悦
- Organizer
  36ACCMCC : Australian Conference on Combinatorial Mathematics and Combinatorial Computing
- Place of Presentation
  西オーストラリア大(オーストラリア)
- Year and Date
  2013-12-10
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] ある種の3次元トーリック多様体の定義イデアルについて2013
- Author(s)
  尾形庄悦
- Organizer
  杜の都代数幾何研究集会
- Place of Presentation
  東北大
- Year and Date
  2013-02-15
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Projective normality of toric varieties2012
- Author(s)
  尾形　庄悦
- Organizer
  代数幾何講演会(招待講演)
- Place of Presentation
  埼玉
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Projective normality of toric fibered varieties2012
- Author(s)
  尾形庄悦
- Organizer
  第二回若手代数複素幾何研究集会
- Place of Presentation
  佐賀大
- Year and Date
  2012-12-19
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Projective normality of toric varieties2012
- Author(s)
  尾形庄悦
- Organizer
  特異点と多様体の幾何学
- Place of Presentation
  山形大
- Year and Date
  2012-08-24
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Projective normality of toric varieties2012
- Author(s)
  尾形庄悦
- Organizer
  代数幾何講演会
- Place of Presentation
  埼玉大
- Year and Date
  2012-02-14
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Projective normality of toric fibered 3-folds2012
- Author(s)
  尾形庄悦
- Organizer
  Hyperplane arrangements in Pyrenees
- Place of Presentation
  ポー大(フランス)
- Year and Date
  2012-06-14
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Very ample but not normal lattice polytopes2011
- Author(s)
  尾形庄悦
- Organizer
  MEGA2011 : Effective Methods in Algebraic Geometry
- Place of Presentation
  ストックホルム大(スウェーデン)
- Year and Date
  2011-05-30
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Normality of lattice polytopes2011
- Author(s)
  尾形庄悦
- Organizer
  35ACCMCC : Australian Conference on Conbinatorial Mathematics and Combinatorial Computing
- Place of Presentation
  メルボルン大(オーストラリア)
- Year and Date
  2011-12-09
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Normality of lattice polytopes2011
- Author(s)
  尾形　庄悦
- Organizer
  35ACCMCC:Australian Conference on Combinatorial Mathematics and Combinatorial Computing
- Place of Presentation
  Melbourne, Australia
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Very ample but not normal lattice polytopes2011
- Author(s)
  尾形　庄悦
- Organizer
  MEGA2011:Effective Methods in Algebraic Geometry
- Place of Presentation
  Stockholm, Sweden
- Data Source
  KAKENHI-PROJECT-23540038
[Presentation] Monkowski sums of lattice polytopes and their normality2010
- Author(s)
  尾形庄悦
- Organizer
  54th Annual Meeting of the Australian Mathematical Society
- Place of Presentation
  The University of Queensland, オーストラリア
- Year and Date
  2010-09-28
- Data Source
  KAKENHI-PROJECT-19340001
[Presentation] Nef and bid line bundles on weak Fano toric 3-folds
- Author(s)
  尾形庄悦
- Organizer
  研究集会「代数多様体とその周辺」
- Place of Presentation
  琉球大学（沖縄県中頭郡西原町）
- Year and Date
  2014-09-29 – 2014-10-02
- Data Source
  KAKENHI-PROJECT-26400034
[Presentation] Projective normality of Toric weak Fano 3-folds
- Author(s)
  尾形庄悦
- Organizer
  Vector Bundles on Algebraic Curves--Algebraic Varieties: Bundles, Topology, Physics
- Place of Presentation
  ベルリン自由大学（ドイツ）
- Year and Date
  2014-09-01 – 2014-09-05
- Data Source
  KAKENHI-PROJECT-26400034
[Presentation] Projective normality of toric weak Fano 3-folds
- Author(s)
  尾形庄悦
- Organizer
  ミニワークショップ Calabi-Yau varities: Arithmetic, Geometry and Physics
- Place of Presentation
  津田塾大学（東京都小平市）
- Year and Date
  2014-08-07 – 2014-08-08
- Data Source
  KAKENHI-PROJECT-26400034

1. ISHIDA Masanori (30124548)

# of Collaborated Projects: 11 results

# of Collaborated Products: 0 results
2. HARA Nobuo (90298167)

# of Collaborated Projects: 8 results

# of Collaborated Products: 0 results
3. 長澤壯之 (70202223)

# of Collaborated Projects: 7 results

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6. NAKAMURA Tetsuo (90016147)

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12. AMASAKI Mutsumi (10243536)

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13. NOMA Atsushi (90262401)

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14. KODAMA Akio (20111320)

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16. 高木斉 (90018581)

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17. TANAKA Kazuyuki (70188291)

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18. MIYAZAKI Chikashi (90229831)

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19. TERAI Naoki (90259862)

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20. MAEDA Takashi (30229306)

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21. HANAMURA Masaki (60189587)

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22. TAKEUCHI Shigeru (30021330)

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23. 吉野崇 (50005774)

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32. ICHIKAWA Takashi (20201923)

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33. OKADA Takuzo (20547012)

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34. ARAI Hitoshi (10175953)

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35. SAITO Takeshi (70201506)

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38. 鈴木義也 (30005772)

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47. ZHAO Huai-Liang

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OGATA Shoetsu 尾形 庄悦

尾形 庄悦 オガタ シヨウエツ

Research Projects

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Co-Researchers

偏極トーリック多様体の定義方程式と格子凸多面体の研究Principal Investigator

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Study on toric Fano varieties and Calabi-Yau hypersurfacesPrincipal Investigator

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Study on Minkowski sums of lattice polytoped and toric varietiesPrincipal Investigator

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Study on equivariant mapps of toric varieties and vector bundlesPrincipal Investigator

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Study on integral convex polytopes and toric varietiesPrincipal Investigator

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Study on toric varieties, vector bundles on them and their subvarietiesPrincipal Investigator

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OGATA Shoetsu 尾形庄悦

尾形庄悦オガタシヨウエツ