Abe Takeshi 阿部健

… Alternative Names

ABE Takeshi 阿部健

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Researcher Number	90362409
Other IDs
Affiliation (Current)	2025: 同志社大学, 理工学部, 教授
Affiliation (based on the past Project Information) *help	2023: 熊本大学, 大学院先端科学研究部(理), 教授 2016 – 2022: 熊本大学, 大学院先端科学研究部(理), 准教授 2017: 熊本大学, 自然科学研究科, 准教授 2016: 熊本大学, 大学院先端科学研究部, 准教授 2011 – 2015: 熊本大学, 自然科学研究科, 准教授 … More 2009 – 2010: Kumamoto University, 大学院・自然科学研究科, 准教授 2007 – 2008: Kyoto University, 数理解析研究所, 助教 2003 – 2006: 京都大学, 数理解析研究所, 助手 Less
Review Section/Research Field	Principal Investigator Algebra / Basic Section 11010:Algebra-related Except Principal Investigator Algebra
Keywords	Principal Investigator ベクトル束 / モジュライ / 双曲性 / 有理曲線 / モジュライ空間 / 代数的層 / 代数的ベクトル束 / 代数多様体 / 部分多様体 / 超曲面 … More / 小林双極性 / 等質空間 / 代数的層のモジュライ / 層のモジュライ / 代数幾何学 … More Except Principal Investigator モジュライ空間 / モジュライ / エンリケス曲面 / 代数幾何学 / Enriques曲面 / K3曲面 / ベクトル束 / アラケロフ幾何 / 導来圏 / 混合ツイスターD加群 / 複素幾何 / Calabi-Yau多様体 / CalabiYau多様体 / 算術的多様体 / クラスター代数 / カラビ・ヤウ多様体 / 代数学 / 離散群とコホモロジー次元 / 複素多様体の変形 / 力学的次数 / 直交型モジュラー多様体 / クレモナ変換 / 幾何学的群論 / 表現論 / 複素力学系 / 国際研究者交流 / 国際情報交換 / 国際研究者交流（フランス、ハンガリー） / モジュライ理論 / Bridgeland安定性 / 量子コホモロジーとミラー対称性 / Floer理論 / パンルヴェ型方程式 / Floer 理論 / リーマン・ヒルベルト対応 / 量子コホモロジーとミラー対称性 / モノドロミー保存変形 / 相空間 / パンルヴェ方程式 / 可積分系 / 複体 / Bridgeland stability / ドリーニュ・マルグランジュ格子 / 箙多様体 / ディリクレの単数定理 / ルート系 / 調和バンドル / BorcherdsΦ関数 / シンプレクティック多様体 / 手鋸箙多様体 / ザリスキ分解 / 双有理幾何 / 算術多様体 / 解析的捩率不変量 / ポアソン変形 / 交叉コホモロジー群 / 半正定値 / 算術的力学系 / 解析的捩率 / 数論幾何学 / Hilbertの第14問題 / Kummer曲面 / レベル階数双対性 / Hom概型 / Brill-Noether理論 / Hilbert概型 / 代数曲面 / Verlinde公式 / 高次元双有理幾何学 / 代数的ベクトル束 / ファノ多様体 / ヒルベルト概型 / フェアリンデ公式 / quiver / ヒルベルトの第14問題 / Abel曲面 / Castelnuovoの有理性判定定理 / cubic 4-fold / Mathieu群 / 有限群 Less

一般型超曲面の部分多様体の研究Principal Investigator
- Principal Investigator
  
  阿部健
- Project Period (FY)
  2022 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kumamoto University
Study on moduli spaces of algebraic sheavesPrincipal Investigator
- Principal Investigator
  
  Abe Takeshi
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Kumamoto University
Birational geometry of moduli spaces of algebraic sheavesPrincipal Investigator
- Principal Investigator
  
  ABE Takeshi
- Project Period (FY)
  2015 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Algebra
- Research Institution
  Kumamoto University
Moduli spaces of algebraic varieties and self-morphisms
- Principal Investigator
  
  Mukai Shigeru
- Project Period (FY)
  2013 – 2017
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Developments in Interactions between Algebraic Geometry and Integrable Systems
- Principal Investigator
  
  Saito Masa-Hiko
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Study of moduli of algebraic vector bundlesPrincipal Investigator
- Principal Investigator
  
  ABE Takeshi
- Project Period (FY)
  2011 – 2014
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kumamoto University
Constructions and developments of geomerty on moduli spaces and arithmetic varieties
- Principal Investigator
  
  MORIWAKI Atsushi
- Project Period (FY)
  2010 – 2014
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Study of vector bundles using the theory of complexes
- Principal Investigator
  
  YOSHIOKA Kota
- Project Period (FY)
  2010 – 2013
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kobe University
Study of Moduli of algebraic vector bundlesPrincipal Investigator
- Principal Investigator
  
  ABE Takeshi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert
- Principal Investigator
  
  MUKAI Shigeru
- Project Period (FY)
  2005 – 2008
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
代数的ベクトル束のモジュライの研究Principal Investigator
- Principal Investigator
  
  阿部健
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
低次超曲面の代数幾何と有限単純群
- Principal Investigator
  
  MUKAI Shigeru
- Project Period (FY)
  2003 – 2004
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kyoto University

[Journal Article] Subvarieties of hypersurface sections of generalized Grassmannians2024
- Author(s)
  Abe Takeshi
- Journal Title
  
  Communications in Algebra
  
  Volume: 52 Issue: 7 Pages: 3027-3053
- DOI
  10.1080/00927872.2024.2312462
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22K03232
[Journal Article] Subvarieties of geometric genus zero of a very general hypersurface2023
- Author(s)
  Takeshi Abe
- Journal Title
  
  Algebraic Geometry
  
  Volume: 10 Pages: 41-86
- DOI
  10.14231/ag-2023-002
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-22K03232, KAKENHI-PROJECT-18K03246
[Journal Article] Semistable sheaves with symmetric c1 on Del Pezzo surfaces of degree 5 and 62021
- Author(s)
  Takeshi Abe
- Journal Title
  
  European Journal of Mathematics
  
  Volume: 7 Issue: 2 Pages: 526-556
- DOI
  10.1007/s40879-020-00434-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03246
[Journal Article] A note on strange duality for holomorphic triples on a projective line2019
- Author(s)
  Takeshi Abe
- Journal Title
  
  manuscripta mathematica
  
  Volume: 159 Issue: 3-4 Pages: 363-377
- DOI
  10.1007/s00229-018-1083-3
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18K03246
[Journal Article] Semistable sheaves with symmetric $c_{1}$ on a quadric surface2017
- Author(s)
  Takeshi Abe
- Journal Title
  
  The Nagoya Mathematical Journal
  
  Volume: 227 Pages: 86-159
- DOI
  10.1017/nmj.2016.50
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701, KAKENHI-PROJECT-15K04824
[Journal Article] Strange duality for height zero moduli spaces of sheaves on$\mathbb{P}^{2}$2015
- Author(s)
  Takeshi Abe
- Journal Title
  
  The Michigan Mathematical Journal
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-25220701
[Journal Article] Strange duality for height zero moduli spaces of sheaves on P22015
- Author(s)
  Takeshi Abe
- Journal Title
  
  The Michigan Mathematical Journal
  
  Volume: 64 Issue: 3 Pages: 569-586
- DOI
  10.1307/mmj/1441116659
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-15K04824, KAKENHI-PROJECT-25220701, KAKENHI-PROJECT-24224001
[Journal Article] Moduli of oriented orthogonal sheaves on a nodal curve2013
- Author(s)
  Takeshi ABE
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 53 Pages: 55-90
- NAID
  120005763757
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23740026
[Journal Article] Moduli of oriented orthogonal sheaves on a nodal curve2013
- Author(s)
  T. Abe
- Journal Title
  
  Kyoto Journal of Mathematics
  
  Volume: 53
- NAID
  120005763757
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001
[Journal Article] Localization with a surface operator, irregular conformal blocks and open topological string2012
- Author(s)
  Awata Hidetoshi, Fuji Hiroyuki, Kanno Hiroaki, Manabe Masahide, Yamada Yasuhiko
- Journal Title
  
  Adv. Theor. Math. Phys
  
  Volume: 16(3) Pages: 725-804
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-22340010
[Journal Article] Localization with a surface operator, Irregular conformal blocks and Open topological string2012
- Author(s)
  H. Awata, H.Fuji, H.Kanno, M. Manabe, Y. Yamada,
- Journal Title
  
  Adv. Theor. Math. Phys.
  
  Volume: 16 Pages: 725-804
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24224001
[Journal Article] Projective normality of the moduli space of rank $2$ vector bundles on a generic curve.2010
- Author(s)
  Takeshi Abe
- Journal Title
  
  Transactions of AMS 362
  
  Pages: 477-490
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] Deformation of rank 2 quasi-bundles and some strange dualities for rational surfaces2010
- Author(s)
  阿部健
- Journal Title
  
  Duke Mathematical Journal Vol.155, no.3
  
  Pages: 577-620
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] Degeneration of the strange duality map for symplectic bundles2009
- Author(s)
  阿部健
- Journal Title
  
  Journal fur die Reine und Angewandte Mathematik Vol.631, no.3
  
  Pages: 181-220
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] The moduli stack of rank-two Gieseker bundles with fixed determinant on a nodal curve II.2009
- Author(s)
  Takeshi Abe
- Journal Title
  
  International Journal of Mathematics 20
  
  Pages: 859-882
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] Degeneration of the strange dulity map for symplectic bundles2009
- Author(s)
  Takeshi Abe
- Journal Title
  
  Journal fur die Reine und Angewandte Mathematik 631
  
  Pages: 181-220
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] Strange duality for parabolic symplectic bundles on a pointed projective line2008
- Author(s)
  阿部健
- Journal Title
  
  International mathematics research notices Vol.2008
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] Strange Duality for Parabolic Symplectic Bundles on a Pointed Projective Line2008
- Author(s)
  阿部健
- Journal Title
  
  International Mathematics Research Notices rnn121
  
  Pages: 47-47
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] Compactification of the symplectic group via generalized symplectic isomorphisms2008
- Author(s)
  阿部健
- Journal Title
  
  RIMS Kokyuroku Bessatsu B9
  
  Pages: 1-50
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20740009
[Journal Article] The moduli stack of rank-two Gieseker bundles with fixed determinant on a nodal curve2006
- Author(s)
  阿部健
- Journal Title
  
  Advanced Studies in Pure Mathematics 45
  
  Pages: 117-144
- Data Source
  KAKENHI-PROJECT-17740013
[Journal Article] On SL(2)-GL(n) strange duality2006
- Author(s)
  阿部健
- Journal Title
  
  Journal of Mathematics of Kyoto University 46
  
  Pages: 657-692
- Data Source
  KAKENHI-PROJECT-17740013
[Journal Article] On SL(2)-GL(n) strange duality2006
- Author(s)
  T.Abe
- Journal Title
  
  J. Math. Kyoto Univ. 46
  
  Pages: 657-692
- Data Source
  KAKENHI-PROJECT-17340006
[Journal Article] The moduli stack of rank-two Gieseker bundles with fixed determinant on a nodal curve2006
- Author(s)
  T.Abe
- Journal Title
  
  Adv. Stud. Pure Math. 45
  
  Pages: 117-144
- Data Source
  KAKENHI-PROJECT-17340006
[Presentation] Subvarieties of a very general logarithmic projective space2023
- Author(s)
  阿部　健
- Organizer
  代数幾何学とその周辺の話題
- Invited
- Data Source
  KAKENHI-PROJECT-22K03232
[Presentation] A note on strange duality for holomorphic triples on a projective line2019
- Author(s)
  Takeshi Abe
- Organizer
  Japanese-European Symposium on Symplectic Varieties and Moduli Spaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18K03246
[Presentation] A note on strange duality for holomorphic triples on a projective line2019
- Author(s)
  阿部　健
- Organizer
  Algebraic Geometry and Moduli Theory
- Invited
- Data Source
  KAKENHI-PROJECT-18K03246
[Presentation] Semistable sheaves with symmetric $c_{1}$ on a quadric surface2018
- Author(s)
  阿部　健
- Organizer
  ベクトル束の分裂・構成・安定性とその応用
- Invited
- Data Source
  KAKENHI-PROJECT-18K03246
[Presentation] Semistable sheaves with symmetric $c_{1}$ on a quadric surface2017
- Author(s)
  阿部健
- Organizer
  Algebraic Geometry Seminar in Kumamoto
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Semistable sheaves with symmetric c1 on a quadric surface2017
- Author(s)
  Takeshi ABE
- Organizer
  Algebraic Geometry Seminar in Kumamoto
- Invited
- Data Source
  KAKENHI-PROJECT-15K04824
[Presentation] Strange Duality for Height Zero Moduli Spaces of Sheaves on $\mathbb{P^{2$}}2016
- Author(s)
  T. Abe
- Organizer
  高次元代数幾何とその周辺
- Place of Presentation
  京都大学 (京都府・京都市)
- Year and Date
  2016-02-05
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] Strange Duality for Height Zero Moduli Spaces of Sheaves on P22016
- Author(s)
  Takeshi Abe
- Organizer
  「高次元代数幾何とその周辺」
- Place of Presentation
  数理解析研究所(京都府京都市)
- Year and Date
  2016-02-05
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Strange Duality for Height Zero Moduli Spaces of Sheaves on P22016
- Author(s)
  Takeshi Abe
- Organizer
  高次元代数幾何とその周辺
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2016-02-05
- Invited
- Data Source
  KAKENHI-PROJECT-15K04824
[Presentation] Strange Duality for Height Zero Moduli Spaces of Sheaves on P22015
- Author(s)
  Takeshi Abe
- Organizer
  Japanese-European Symposium on Symplectic Varieties and Moduli Spaces
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2015-10-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-15K04824
[Presentation] Strange Duality for Height Zero Moduli Spaces of Sheaves on P22015
- Author(s)
  Takeshi Abe
- Organizer
  Japanese-European Symposium on Symplectic Varieties and Moduli Spaces
- Place of Presentation
  RIMS(京都府京都市)
- Year and Date
  2015-10-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] Strange Duality for Height Zero Moduli Spaces of Sheaves on $\mathbb{P^{2$}}2015
- Author(s)
  T. Abe
- Organizer
  Japanese-European Symposium on Symplectic Varieties and Moduli Spaces
- Place of Presentation
  京都大学 (京都府・京都市)
- Year and Date
  2015-10-26
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] An example of strange duality for K3 surfaces2014
- Author(s)
  Takeshi Abe
- Organizer
  研究集会「Bundles over Surfaces and Eisenstein Periods for Loop Groups 」
- Place of Presentation
  九州大学
- Year and Date
  2014-07-01
- Invited
- Data Source
  KAKENHI-PROJECT-23740026
[Presentation] An example of strange duality for K3 surfaces2014
- Author(s)
  Takeshi Abe
- Organizer
  研究集会「Bundles over Surfaces and Eisenstein Periods for LoopGroups 」
- Place of Presentation
  九州大学
- Year and Date
  2014-07-01
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] An example of strange duality for K3 surfaces2014
- Author(s)
  T. Abe
- Organizer
  Bundles over Surfaces and Eisenstein Periods for Loop Groups
- Place of Presentation
  九州大学
- Year and Date
  2014-07-01
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24224001
[Presentation] An example of strange duality for K3 surfaces2013
- Author(s)
  阿部　健
- Organizer
  代数幾何学と可積分系におけるモジュライ理論
- Place of Presentation
  京都大学数理解析研究所
- Data Source
  KAKENHI-PROJECT-23740026
[Presentation] Surjectivity of the strange duality map for $\mathbb{P}^{2}$ in the case $c_{1}=4$2012
- Author(s)
  阿部健
- Organizer
  第二回若手代数複素幾何研究集会
- Place of Presentation
  佐賀大学
- Data Source
  KAKENHI-PROJECT-23740026
[Presentation] 一般テータ関数の空間のstrange duality現象について2012
- Author(s)
  阿部　健
- Organizer
  日本数学会年会
- Place of Presentation
  東京理科大
- Data Source
  KAKENHI-PROJECT-23740026
[Presentation] On the moduli space of pure one-dimensional sheaves with $c_{1}=5$ and $\chi=0$2012
- Author(s)
  阿部健
- Organizer
  Symposium on Arithmetic & Geometry
- Place of Presentation
  九州大学
- Data Source
  KAKENHI-PROJECT-23740026
[Presentation] Moduli of oriented orthogonal sheaves on a nodal curve2011
- Author(s)
  阿部　健
- Organizer
  城崎シンポジウム
- Place of Presentation
  城崎大会議館
- Data Source
  KAKENHI-PROJECT-23740026
[Presentation] The moduli space of pure one dimensional sheaves with $c_{1}=4$ and $\chi=0$ on $\mathbb{P}^{2}$2010
- Author(s)
  阿部健
- Organizer
  研究集会「代数幾何の関連する諸分野」
- Place of Presentation
  北海道大学
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] The moduli space of pure one dimensional sheaves with $c_{1}=4$ and $￥chi=0$ on $￥mathbb{P}^{2}$2010
- Author(s)
  阿部健
- Organizer
  研究集会「代数幾何の関連する諸分野」
- Place of Presentation
  北海道大学
- Year and Date
  2010-08-31
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] On strange duality for symplectic bundles2009
- Author(s)
  阿部健
- Organizer
  研究集会「Eigenvalue and Saturation Problems for Reductive Groups」
- Place of Presentation
  North Carolina大学アメリカ
- Year and Date
  2009-05-26
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] On strange duality for symplectic bundles2009
- Author(s)
  阿部健
- Organizer
  Eigenvalue and Saturation Problems for Reductive Groups
- Place of Presentation
  Univ.of North Carolina
- Year and Date
  2009-05-26
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] On strange duality for symplectic bundles2008
- Author(s)
  阿部健
- Organizer
  研究集会「Conference on Moduli spaces」
- Place of Presentation
  Warwick大学イギリス
- Year and Date
  2008-07-08
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] Degeneration of the Strange Duality Map for Symplectic Bundles2008
- Author(s)
  阿部健
- Organizer
  moduli空間と双有理幾何
- Place of Presentation
  数理解析研究所
- Year and Date
  2008-06-12
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] On strange duality for symplectic bundles2008
- Author(s)
  阿部健
- Organizer
  研究集会「Moduli and invariants in complex analysis and algebraic geometry」
- Place of Presentation
  京都工芸繊維大学
- Year and Date
  2008-11-26
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] Strange duality for symplectic bundles2008
- Author(s)
  阿部健
- Organizer
  研究集会「代数幾何の関連する諸分野」
- Place of Presentation
  北海道大学
- Year and Date
  2008-07-23
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] On strange duality for symplectic bundles2008
- Author(s)
  阿部健
- Organizer
  Conference on Moduli spaces
- Place of Presentation
  Warwick大学
- Year and Date
  2008-07-08
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] Level-rank duality of conformal blocks of affirm symplectic Lie algebra and symplectic strange duality2008
- Author(s)
  阿部健
- Organizer
  表現論と非可換調和解析における新しい視点
- Place of Presentation
  数理解析研究所
- Year and Date
  2008-09-16
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] Strange duality for symplectic bundles2008
- Author(s)
  阿部健
- Organizer
  代数幾何の関連する諸分野
- Place of Presentation
  北海道大学
- Year and Date
  2008-07-23
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] Degeneration of the Strange Duality Map for Symplectic Bundles2008
- Author(s)
  阿部健
- Organizer
  研究集会「moduli 空間と双有理幾何」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-06-12
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] Level-rank duality of conformal blocks of affine symplectic Lie algebra and symplectic strange duality2008
- Author(s)
  阿部健
- Organizer
  研究集会「表現論と非可換調和解析における新しい視点」
- Place of Presentation
  京都大学数理解析研究所
- Year and Date
  2008-09-16
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] On strange duality for symplectic bundles2008
- Author(s)
  阿部健
- Organizer
  Moduli and invariants in complex analysis and al-gebraic geometry
- Place of Presentation
  京都工芸繊維大学
- Year and Date
  2008-11-26
- Data Source
  KAKENHI-PROJECT-20740009
[Presentation] Degeneration of the Strange Duality Map for Symplectic Bundles2007
- Author(s)
  阿部健
- Organizer
  関西代数幾何セミナー
- Place of Presentation
  神戸大学
- Year and Date
  2007-12-21
- Data Source
  KAKENHI-PROJECT-17740013
[Presentation] Projective normality of rank $2$ vector bundles on a generic curve2007
- Author(s)
  阿部健
- Organizer
  代数幾何セミナー
- Place of Presentation
  京都大学
- Year and Date
  2007-04-27
- Data Source
  KAKENHI-PROJECT-17740013
[Presentation] Symplectic bundles on a nodal curve2007
- Author(s)
  阿部健
- Organizer
  研究集会「高次元多様体とベクトル束」
- Place of Presentation
  数理解析研究所
- Year and Date
  2007-07-02
- Data Source
  KAKENHI-PROJECT-17740013
[Presentation] An example of strange duality for K3 surfaces
- Author(s)
  Takeshi Abe
- Organizer
  研究集会「代数幾何学と可積分系におけるモジュライ理論」
- Place of Presentation
  京都大学数理解析研究所
- Invited
- Data Source
  KAKENHI-PROJECT-25220701
[Presentation] An example of strange duality for K3 surfaces
- Author(s)
  K. Abe
- Organizer
  Moduli theory in Algebraic geometry and Integrable systems
- Place of Presentation
  京都大学数理解析研究所 (京都)
- Invited
- Data Source
  KAKENHI-PROJECT-24224001

1. YOSHIOKA Kota (40274047)

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2. MUKAI Shigeru (80115641)

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48. ALLCOCK Daniel

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49. HEDEN Isac

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Abe Takeshi 阿部 健

ABE Takeshi 阿部 健

Research Projects

Research Products

Co-Researchers

一般型超曲面の部分多様体の研究Principal Investigator

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Study on moduli spaces of algebraic sheavesPrincipal Investigator

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Birational geometry of moduli spaces of algebraic sheavesPrincipal Investigator

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Moduli spaces of algebraic varieties and self-morphisms

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Developments in Interactions between Algebraic Geometry and Integrable Systems

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Study of moduli of algebraic vector bundlesPrincipal Investigator

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Constructions and developments of geomerty on moduli spaces and arithmetic varieties

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Study of vector bundles using the theory of complexes

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Study of Moduli of algebraic vector bundlesPrincipal Investigator

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Fano varieties and moduli spaces with emphasis on the Verlinde Formula and the 14^<th> problem of Hilbert

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代数的ベクトル束のモジュライの研究Principal Investigator

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低次超曲面の代数幾何と有限単純群

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[Journal Article] Subvarieties of hypersurface sections of generalized Grassmannians2024

Author(s)

Journal Title

Abe Takeshi 阿部健

ABE Takeshi 阿部健