Abe Takeshi 阿部健

… Alternative Names

Researcher Number	90362409
Other IDs
Affiliation (Current)	2019: 熊本大学, 大学院先端科学研究部(理), 准教授
Affiliation (based on the past Project Information) *help	2016 – 2018: 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 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
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 / モジュライ空間 / 代数的層 / 層のモジュライ / 代数的層のモジュライ / 代数幾何学 / 代数的ベクトル束 Except Principal Investigator モジュライ空間 / モジュライ … More

代数的層のモジュライの研究Principal InvestigatorOngoing
- Principal Investigator
  
  阿部健
- Project Period (FY)
  2018 – 2021
- 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

All 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 Other

All Journal Article Presentation

[Journal Article] SEMISTABLE SHEAVES WITH SYMMETRIC c1　ON A QUADRIC SURFACE2017
- Author(s)
  Takeshi Abe
- Journal Title
  
  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 $\mathbb{P^2$}2015
- Author(s)
  Takeshi Abe
- Journal Title
  
  The Michigan Mathematical Journal
  
  Volume: 64 Pages: 569-586
- DOI
  10.1307/mmj/1441116659
- Acknowledgement Compliant / Peer Reviewed
- 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
- 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
- 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] 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / 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
  RIMS(京都府京都市)
- Year and Date
  2015-10-26
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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
- Int'l Joint Research / Invited
- 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] 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] 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] 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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3. NAKAJIMA Hiraku (00201666)

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4. IDE Manabu (90367582)

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5. MORI Shigefumi (00093328)

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6. NAKAYAMA Noboru (10189079)

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7. NAKAMURA Iku (50022687)

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8. NAMIKAWA Yoshinori (80228080)

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9. INABA Michiaki (80359934)

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10. SAITO Masahiko (80183044)

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11. KURANO Kazuhiko (90205188)

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12. TAKEUCHI Kiyohiko (30236418)

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13. TAKAGI Hiromichi (30322150)

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14. MORIWAKI Atsushi (70191062)

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18. FUJINO Osamu (60324711)

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19. NOUMI Masatoshi (80164672)

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20. YAMADA Yasuhiko (00202383)

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21. NORO Masayuki (50332755)

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22. KOIKE Tatsuya (80324599)

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23. IWASAKI Katsunori (00176538)

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24. KANEKO Masanobu (70202017)

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25. HARAOKA Yoshishige (30208665)

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26. ISHII Akira (10252420)

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27. HOSONO Shinobu (60212198)

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28. MATSUSHITA Daisuke (90333591)

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29. IRITANI Hiroshi (20448400)

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30. TODA Yukinobu (20503882)

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31. TANIGUCHI Takashi (60422391)

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32. ONO Kaoru (20204232)

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33. ROSSMAN Wayne (50284485)

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34. MITSUI Kentaro (70644889)

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35. SANO Taro (10773195)

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36. UEDA Tetsuo (10127053)

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37. NASU Hirokazu (30535331)

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38. OHASHI Hisanori (40547006)

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39. MA Shohei (80633255)

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40. 金銅誠之 (50186847)

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41. 太田泰広 (10213745)

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42. 小木曽啓示 (40224133)

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43. 宍倉光広 (70192606)

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44. SANNAI Akiyoshi

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45. WANDEL Marte

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46. KIM Kyounghee

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47. DOLGACHEV Igor

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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

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Co-Researchers

代数的層のモジュライの研究Principal InvestigatorOngoing

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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] SEMISTABLE SHEAVES WITH SYMMETRIC c1 ON A QUADRIC SURFACE2017

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[Journal Article] Strange duality for height zero moduli spaces of sheaves on$\mathbb{P}^{2}$2015

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Abe Takeshi 阿部健

ABE Takeshi 阿部健

[Journal Article] SEMISTABLE SHEAVES WITH SYMMETRIC c1　ON A QUADRIC SURFACE2017