Abe Takuro 阿部拓郎

… Alternative Names

ABE Takuro 阿部拓郎

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Researcher Number	50435971
Other IDs
Affiliation (Current)	2025: 立教大学, 理学部, 教授
Affiliation (based on the past Project Information) *help	2023 – 2025: 立教大学, 理学部, 教授 2019 – 2022: 九州大学, マス・フォア・インダストリ研究所, 教授 2018: 九州大学, 学内共同利用施設等, 准教授 2015 – 2018: 九州大学, マス・フォア・インダストリ研究所, 准教授 2015: 九州大学, マス・フォア・インダストリ研究, 准教授 … More 2012 – 2014: 京都大学, 工学(系)研究科(研究院), 講師 2011: 京都大学, 大学院・工学研究科, 講師 2010 – 2011: 京都大学, 工学研究科, 講師 2009: Kyoto University, 大学院・理学研究科, 特定助教(GCOE) 2008: 北大, 理学(系)研究科(研究院) Less
Review Section/Research Field	Principal Investigator Algebra / Medium-sized Section 11:Algebra, geometry, and related fields / Broad Section B / Basic Section 11010:Algebra-related Except Principal Investigator Medium-sized Section 11:Algebra, geometry, and related fields / Basic Section 11020:Geometry-related / Algebra
Keywords	Principal Investigator 超平面配置 / 対数的ベクトル場 / 自由配置 / 加除定理 / 原始微分 / SPOG配置 / Solomon-寺尾代数 / ルート系 / 多重配置 / Shi配置 … More / グラフ配置 / Solomon-寺尾多項式 / Solomon-寺尾理論 / ポアンカレ多項式 / 加法定理 / 特性多項式 / 有理Cherednik代数と準不変式 / Sylvester-Gallaiの定理 / 二重点 / 准不変式環 / 有理Cherednik代数 / Hessenberg多様体 / コホモロジー環 / 剰余的自由配置 / 代数幾何学 / 代数学 / ベクトル束 / ベッチ数 / 暗号・符号理論 / 識別AIと識別超平面配置 / ログ凸性 / 擬幾何学不変量 / 特性準多項式 / compatibility / 多重コクセター配置 / 制限定理 / free filtration / 除去定理 / レフシェッツ性 / 斎藤の原始微分 / 自由経路 / 弱コーダルグラフ / Castelnouvo-Mumford正則性 / Ramanujan Machine / 対数的微分形式 / 機械学習 / ランダム生成アルゴリズム / Ish配置 / 有向グラフ配置 / 制限写像 / 分解定理 / 特性多項式とその根 / 逆交差格子 / 逆特性多項式 / メビウス関数 / 交差格子 / 寺尾の分解定理 / 局所化と制限 / オイラー制限射 / 整数根 / 特異点論 / Master function / オイラー列 / Solomon-寺尾複体 / 双対性 / 自由配置とSPOG配置 / 対数的微分加群 / 対数的比較定理 / Bernstein-佐藤多項式 / 対数的イデアル / D加群 / B列 / Ziegler予想 / Cohen-Macaulay性 / 完全交差性 / Liouville複体 / ランダムウォーク / トポロジー / ホモロジー群 / 多数加法・除去・制限定理 / 乱歩 / 剰余定理 / BHR乱歩 / 剰余旗 / 旗代数 / 表現論 / 組み合わせ論 / シューベルト多様体 / 幾何学的表現論 / ヘッセンベルグ多様体 / Solomon-寺尾代数と多項式 / ゴレンシュタイン性 / Weyl群とWeyl代数 / 完全交差環 / 多重ワイル配置 / Weyl群 / Hodge分解 / 多重自由配置 / 複素鏡映配置 / 強レフシェッツ性 / Dirac-Motzkin予想 / 特異点 / 超可解配置 / 準不変式環 / Shi配置とCatalan配置 / 高さ分布の双対分割 / 指標 / ワイル群 / 自由配置の剰余定理 / 分裂型 / ルートの高さ分布の双対分割 / イデアル配置 / 指数 / 直線配置 / イデアル / ルート系とワイル群 / フロベニウス多様体 / 有向グラフ / コクセター群 / 代数幾何 … More Except Principal Investigator 超平面配置 / 対数的ベクトル場 / 数え上げ / 二重被覆空間 / ポセット / マグニチュード / 多面体 / 特性準多項式 / 滑層空間 / 離散構造 / エルハート理論 / 被覆空間 / 数え上げ関数 / ミルナーファイバー / ワイル配置 / 鏡映群 / 自由配置 / 代数学 / 代数的組合せ論 Less

Developments of theory of hyperplane arrangements and application to black box of AIPrincipal Investigator
- Principal Investigator
  
  阿部拓郎
- Project Period (FY)
  2025 – 2029
- Research Category
  
  Grant-in-Aid for Scientific Research (S)
- Review Section
  
  Broad Section B
- Research Institution
  Rikkyo University
Discrete structures related to hyperplane arrangements, generalization, deepening, and applications
- Principal Investigator
  
  吉永正彦
- Project Period (FY)
  2023 – 2027
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  The University of Osaka
Fusion of enumerative and algebraic geometry and exploration of quasi-geometric invariantsPrincipal Investigator
- Principal Investigator
  
  阿部拓郎
- Project Period (FY)
  2023 – 2028
- Research Category
  
  Grant-in-Aid for Challenging Research (Pioneering)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Rikkyo University
Research of logarithmic vector fields of hyperplane arrangementsPrincipal Investigator
- Principal Investigator
  
  阿部拓郎
- Project Period (FY)
  2021 – 2025
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11010:Algebra-related
- Research Institution
  Rikkyo University
  Kyushu University
Fusion of algebra, geometry and combinatorics based on the roots of Poincare polynomials of hyperplane arrangementsPrincipal Investigator
- Principal Investigator
  
  ABE TAKURO
- Project Period (FY)
  2020 – 2023
- Research Category
  
  Grant-in-Aid for Challenging Research (Exploratory)
- Review Section
  
  Medium-sized Section 11:Algebra, geometry, and related fields
- Research Institution
  Rikkyo University
  Kyushu University
Research on the Solomon-Terao complexes by using D-module theoryPrincipal Investigator
- Principal Investigator
  
  ABE TAKURO
- Project Period (FY)
  2019 – 2023
- Research Category
  
  Fund for the Promotion of Joint International Research (Fostering Joint International Research (A))
- Research Field
  
  Algebra
- Research Institution
  Rikkyo University
  Kyushu University
Explicit study of hyperplane arrangements and related stratified spaces via discrete structures
- Principal Investigator
  
  Yoshinaga Masahiko
- Project Period (FY)
  2018 – 2022
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 11020:Geometry-related
- Research Institution
  Osaka University
  Hokkaido University
Research on the coinvariant ring theory for hyperplane arrangements and the new developments of its representation and geometryPrincipal Investigator
- Principal Investigator
  
  ABE TAKURO
- Project Period (FY)
  2016 – 2020
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
New developments on the freeness and topology of hyperplane arrangements, and random walksPrincipal Investigator
- Principal Investigator
  
  ABE TAKURO
- Project Period (FY)
  2016 – 2018
- Research Category
  
  Grant-in-Aid for Challenging Exploratory Research
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
Analysis of freeness of hyperplane arrangements and related geometryPrincipal Investigator
- Principal Investigator
  
  Abe Takuro
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyushu University
  Kyoto University
Panoptic Study of Hyperplane arrangements
- Principal Investigator
  
  Terao Hiroaki
- Project Period (FY)
  2012 – 2016
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University
Analysis of freeness of multiarrangements and generation of related geometryPrincipal Investigator
- Principal Investigator
  
  ABE Takuro
- Project Period (FY)
  2009 – 2011
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Kyoto University
超平面配置上の自由重複度の研究Principal Investigator
- Principal Investigator
  
  阿部拓郎
- Project Period (FY)
  2008
- Research Category
  
  Grant-in-Aid for Young Scientists (B)
- Research Field
  
  Algebra
- Research Institution
  Hokkaido University

[Book] DMTCS Proceedings, 26th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2014)2016
- Author(s)
  Takuro Abe, Mohamed Barakat, Michael Cuntz, Torsten Hoge, Hiroaki Terao
- Total Pages
  956
- Publisher
  DMTCS
- Data Source
  KAKENHI-PROJECT-24244001
[Journal Article] Generalization of the addition and restriction theorems from free arrangements to the class of projective dimension one2024
- Author(s)
  Takuro Abe
- Journal Title
  
  Algebraic Combinatorics
  
  Volume: accepted
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23K20788
[Journal Article] Vertex-weighted digraphs and freeness of arrangements between Shi and Ish2024
- Author(s)
  Abe Takuro、Tran Tan Nhat、Tsujie Shuhei
- Journal Title
  
  European Journal of Combinatorics
  
  Volume: 118 Pages: 103920-103920
- DOI
  10.1016/j.ejc.2024.103920
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20880
[Journal Article] Addition-deletion theorems for the Solomon-Terao polynomials and B-sequences of hyperplane arrangements2024
- Author(s)
  Abe Takuro
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 306 Issue: 2
- DOI
  10.1007/s00209-023-03426-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18KK0389
[Journal Article] On some freeness-type properties for line arrangements2022
- Author(s)
  Takuro Abe, Denis Ibadula, Anca Macinic
- Journal Title
  
  ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  
  Volume: - Pages: 427-447
- DOI
  10.2422/2036-2145.202105_038
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] Locally heavy hyperplanes in multiarrangements2022
- Author(s)
  Takuro Abe, Lukas Kuhne
- Journal Title
  
  Journal of Pure and Applied Algebra
  
  Volume: 226 Issue: 1 Pages: 106791-106791
- DOI
  10.1016/j.jpaa.2021.106791
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] Addition-deletion theorem for free hyperplane arrangements and combinatorics2022
- Author(s)
  Takuro Abe
- Journal Title
  
  Journal of Algebra
  
  Volume: 610 Pages: 1-17
- DOI
  10.1016/j.jalgebra.2022.06.028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] Double Points of Free Projective Line Arrangements2022
- Author(s)
  Takuro Abe
- Journal Title
  
  International Mathematics Research Notices
  
  Volume: 2022 Issue: 3 Pages: 1811-1824
- DOI
  10.1093/imrn/rnaa145
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] A Characterization of High Order Freeness for Product Arrangements and Answers to Holm’s Questions2021
- Author(s)
  Takuro Abe, Norihiro Nakashima
- Journal Title
  
  Algebras and Representation Theory
  
  Volume: 24 Issue: 3 Pages: 585-599
- DOI
  10.1007/s10468-020-09961-1
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] Roots of the characteristic polynomials of hyperplane arrangements and their restrictions and localizations2021
- Author(s)
  Takuro Abe
- Journal Title
  
  Topology and its Applications
  
  Volume: In press Pages: 107990-107990
- DOI
  10.1016/j.topol.2021.107990
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20K20880
[Journal Article] Addition-deletion results for the minimal degree of logarithmic derivations of hyperplane arrangements and maximal Tjurina line arrangements2020
- Author(s)
  Abe Takuro, Dimca Alexandru, Sticlaru Gabriel
- Journal Title
  
  Journal of Algebraic Combinatorics
  
  Volume: - Issue: 3 Pages: 739-766
- DOI
  10.1007/s10801-020-00986-9
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0389
[Journal Article] On complex supersolvable line arrangements2020
- Author(s)
  Takuro Abe and Alexandru Dimca
- Journal Title
  
  Journal of Algebra
  
  Volume: - Pages: 38-51
- DOI
  10.1016/j.jalgebra.2020.02.007
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] Multiple addition, deletion and restriction theorems for hyperplane arrangements2019
- Author(s)
  Takuro Abe and Hiroaki Terao
- Journal Title
  
  Proceedings of the American Mathematical Society
  
  Volume: 印刷中 Issue: 11 Pages: 4835-4845
- DOI
  10.1090/proc/14592
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924, KAKENHI-PROJECT-16K13744
[Journal Article] Plus-one Generated and Next to Free Arrangements of Hyperplanes2019
- Author(s)
  Takuro Abe
- Journal Title
  
  International Mathematical Research Notices
  
  Volume: - Issue: 12 Pages: 9233-9261
- DOI
  10.1093/imrn/rnz099
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] Deletion theorem and combinatorics of hyperplane arrangements2019
- Author(s)
  Takuro Abe
- Journal Title
  
  Mathematische Annalen
  
  Volume: 印刷中 Issue: 1-2 Pages: 581-595
- DOI
  10.1007/s00208-018-1713-9
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924, KAKENHI-PROJECT-16K13744
[Journal Article] Solomon–Terao algebra of hyperplane arrangements2019
- Author(s)
  Takuro ABE, Toshiaki MAENO, Satoshi MURAI and Yasuhide NUMATA
- Journal Title
  
  Journal of the Mathematical Society of Japan
  
  Volume: 71 Issue: 4 Pages: 1027-1047
- DOI
  10.2969/jmsj/79957995
- NAID
  130007733331
- ISSN
  0025-5645, 1881-1167, 1881-2333
- Language
  English
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-16H03924
[Journal Article] HESSENBERG VARIETIES AND HYPERPLANE ARRANGEMENTS2019
- Author(s)
  Takuro Abe, Tatsuya Horiguchi, Mikiya Masuda, Satoshi Murai and Takashi Sato
- Journal Title
  
  Journal fur die Reine und Angewandte Mathematik
  
  Volume: 16 Issue: 09 Pages: 1-45
- DOI
  10.1515/crelle-2018-0039
- URL
  https://ocu-omu.repo.nii.ac.jp/records/2016849
- Language
  English
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-16H03924, KAKENHI-PROJECT-17J04330, KAKENHI-PROJECT-19K03472
[Journal Article] Splitting types of bundles of logarithmic vector fields along plane curves2018
- Author(s)
  Takuro Abe and Alexandru Dimca
- Journal Title
  
  International Journal of Mathematics
  
  Volume: 29 Issue: 08 Pages: 1850055-1850055
- DOI
  10.1142/s0129167x18500556
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924, KAKENHI-PROJECT-16K13744
[Journal Article] Divisionally free arrangements of hyperplanes2016
- Author(s)
  Takuro Abe
- Journal Title
  
  Inventiones Mathematicae
  
  Volume: 204 Issue: 1 Pages: 317-346
- DOI
  10.1007/s00222-015-0615-7
- Peer Reviewed / Acknowledgement Compliant
- Data Source
  KAKENHI-PROJECT-24740012
[Journal Article] Free filtrations of affine Weyl arrangements and the ideal-Shi2016
- Author(s)
  Takuro Abe, Hiroaki Terao
- Journal Title
  
  Journal of Algebraic Combinatorics
  
  Volume: 43 Issue: 1 Pages: 33-44
- DOI
  10.1007/s10801-015-0624-z
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-26610001, KAKENHI-PROJECT-24740012, KAKENHI-PROJECT-24244001
[Journal Article] Simple-root bases for Shi arrangements2015
- Author(s)
  Takuro Abe and Hiroaki Terao
- Journal Title
  
  Journal of Algebra
  
  Volume: 422 Pages: 89-104
- NAID
  120005527841
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740012
[Journal Article] The freeness of ideal subarrangements of Weyl arrangements.2015
- Author(s)
  Takuro Abe, Mohamed Barakat, Michael Cuntz, Torsten Hoge, Hiroaki Terao
- Journal Title
  
  Journal of the European Mathematical Society(European Mathematical Society)
  
  Volume: 印刷中
- Peer Reviewed / Acknowledgement Compliant / Open Access
- Data Source
  KAKENHI-PROJECT-24244001
[Journal Article] The freeness of ideal subarrangements of Weyl arrangements2015
- Author(s)
  Takuro Abe, Mohamed Barakat, Michael Cuntz, Torsten Hoge and Hiroaki Terao
- Journal Title
  
  Journal of the European Mathematical Society
  
  Volume: 未定
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740012
[Journal Article] Simple-root bases for Shi arrangements2015
- Author(s)
  T. Abe, H. Terao
- Journal Title
  
  Journal of Algebra
  
  Volume: 402 Pages: 89-104
- DOI
  10.1016/j.jalgebra.2014.09.011
- NAID
  120005527841
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-24244001, KAKENHI-PROJECT-26287009, KAKENHI-PROJECT-26610001
[Journal Article] The freeness of ideal subarrangements of Weyl arrangements2014
- Author(s)
  Takuro Abe, Mohamed Barakat, Michael Cuntz, Torsten Hoge, Hiroaki Terao
- Journal Title
  
  DMTCS Proceedings of FPSAC 2014 (26th International Conference on Formal Power Series and Algebraic Combinatorics)
  
  Volume: 印刷中
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24244001
[Journal Article] Roots of characteristic polynomials and intersection points of line arrangements2014
- Author(s)
  Takuro Abe
- Journal Title
  
  Journal of Singularities
  
  Volume: 8 Pages: 100-117
- DOI
  10.5427/jsing.2014.8h
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-24740012
[Journal Article] Characteristic polynomials, η-complexes and freeness of tame arrangements2013
- Author(s)
  阿部拓郎
- Journal Title
  
  Michigan Mathematical Journal
  
  Volume: 62 Pages: 117-130
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740012
[Journal Article] Free arrangements and coefficients of characteristic polynomials2013
- Author(s)
  Takuro Abe and Masahiko Yoshinaga
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 275 Issue: 3-4 Pages: 911-919
- DOI
  10.1007/s00209-013-1165-6
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740012, KAKENHI-PROJECT-25400060
[Journal Article] Chambers of 2-affine arrangements and freeness of 3-arrangements2013
- Author(s)
  Takuro Abe
- Journal Title
  
  Journal of Algebraic Combinatorics
  
  Volume: 38 Pages: 65-78
- DOI
  10.1007/s10801-012-0393-x
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-24740012
[Journal Article] Equivariant multiplicities of Coxeter arrangements and invariant bases2012
- Author(s)
  T. Abe, H. Terao, A. Wakamiko
- Journal Title
  
  Advances in Mathematics
  
  Volume: 230 Issue: 4-6 Pages: 2364-2377
- DOI
  10.1016/j.aim.2012.04.015
- NAID
  120005946712
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-23224001, KAKENHI-PROJECT-23654001, KAKENHI-PROJECT-24244001, KAKENHI-PROJECT-24740012
[Journal Article] Exponents of 2-multiarrangements and multiplicity lattices2012
- Author(s)
  Takuro Abe and Yasuhide Numata
- Journal Title
  
  Journal of Algebraic Combinatorics
  
  Volume: 35 Pages: 1-17
- NAID
  120006459568
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements2011
- Author(s)
  Takuro Abe and Hiroaki Terao
- Journal Title
  
  Journal of Algebra
  
  Volume: 330 Pages: 251-262
- NAID
  120002834745
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements2011
- Author(s)
  阿部拓郎, 寺尾宏明
- Journal Title
  
  Journal of Algebra
  
  Volume: 330巻 Pages: 251-262
- NAID
  120002834745
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] The freeness of Shi-Catalan arrangements2011
- Author(s)
  Takuro Abe and Hiroaki Terao
- Journal Title
  
  European Journal of Combinatorics
  
  Volume: 32 Pages: 1191-1198
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] A primitive derivation and logarithmic differential forms of Coxeter arrangements2010
- Author(s)
  阿部拓郎, 寺尾宏明
- Journal Title
  
  Mathematiche Zeitschrift
  
  Volume: 264巻 Pages: 813-828
- NAID
  120002834671
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] A primitive derivation and logarithmic differential forms of Coxeter arrangements2010
- Author(s)
  Takuro Abe and Hiroaki Terao
- Journal Title
  
  Mathematische Zeitschrift
  
  Volume: 264 Pages: 813-828
- NAID
  120002834671
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] Signed-eliminable graphs and free multiplicities on the braid arrangement2009
- Author(s)
  Takuro Abe, Koji Nuida and Yasuhide Numata
- Journal Title
  
  Journal of the London Mathemathcal Society
  
  Volume: 80 Pages: 121-134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] The stability of the family of B_2-type arrangements2009
- Author(s)
  阿部拓郎
- Journal Title
  
  Communications in Algebra 37巻
  
  Pages: 1193-1215
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] The stability of the family of B2-type arrangements2009
- Author(s)
  Takuro Abe
- Journal Title
  
  Communications in Algebra
  
  Volume: 37 Pages: 1193-1215
- NAID
  120006459494
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] Signed-eliminable graphs and free multiplicities on the braid arrangement2009
- Author(s)
  阿部拓郎, 縫田光司, 沼田泰英
- Journal Title
  
  Journal of the London Mathematical Society 80巻
  
  Pages: 121-134
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] Coxeter multiarrangements with quasi-constant multiplicities2009
- Author(s)
  Takuro Abe and Masahiko Yoshinaga
- Journal Title
  
  Journal of Algebra
  
  Volume: 322 Pages: 2839-2847
- NAID
  120006459575
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] Coxeter multiarrangements with quasi-constant multiplicities2009
- Author(s)
  阿部拓郎, 吉永正彦
- Journal Title
  
  Journal of Algebra 322巻
  
  Pages: 2839-2847
- NAID
  120006459575
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] On the conjecture of Athanasiadis related to freeness of a family of hyperplane arrangements
- Author(s)
  Takuro Abe
- Journal Title
  
  Mathematical Research Letters
  
  Volume: (掲載決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Journal Article] jecture of Athanasiadis related to freeness of a family of hyperplane ar
- Author(s)
  阿部拓郎
- Journal Title
  
  Mathematical Research Letters
  
  Volume: (掲載決定済)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Multi-Euler derivations2024
- Author(s)
  Takuro Abe
- Organizer
  OBERSEMINAR "ARRANGEMENTS AND SYMMETRIES", Ruhr University Bochum
- Data Source
  KAKENHI-PROJECT-18KK0389
[Presentation] Regularity of logarithmic modules and Solomon-Terao polynomials of hyperplane arrangements2024
- Author(s)
  Takuro Abe
- Organizer
  Semianr of Algebra, University of Sevilla
- Data Source
  KAKENHI-PROJECT-23K20788
[Presentation] Multi-Euler derivation2024
- Author(s)
  阿部拓郎
- Organizer
  Multiarrangements of type B_2 and related topics
- Data Source
  KAKENHI-PROJECT-23K17298
[Presentation] B-sequences of logarithmic modules of hyperplane arrangements2023
- Author(s)
  Takuro Abe
- Organizer
  Characteristic Polynomials of Hyperplane Arrangements and Ehrhart Polynomials of Convex Polytopes
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0389
[Presentation] Projective dimensions of weakly chordal graphic arrangements2023
- Author(s)
  Takuro Abe
- Organizer
  JSPS-VAST Bilateral Joint Research Project Workshop "Topology of Singularities and Related Topics"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K20880
[Presentation] B-sequences of the logarithmic modules2023
- Author(s)
  Takuro Abe
- Organizer
  Combinatorics, geometry and commutative algebra of hyperplane arrangements
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0389
[Presentation] Sylvester-Gallai の定理と対数的ベクトル場の分裂型2022
- Author(s)
  阿部拓郎
- Organizer
  城崎代数幾何シンポジウム2022 (online)
- Invited
- Data Source
  KAKENHI-PROJECT-20K20880
[Presentation] Addition-restriction theorems and projective dimensions of logarithmic vector fields of hyperplane arrangements2022
- Author(s)
  Takuro Abe
- Organizer
  Project seminar Moduli and Friends (online)
- Data Source
  KAKENHI-PROJECT-23K20788
[Presentation] 自由配置の加法定理再論2022
- Author(s)
  阿部拓郎
- Organizer
  超平面配置の数学とその進展2022
- Data Source
  KAKENHI-PROJECT-23K20788
[Presentation] Logarithmic modules of hyperplane arrangements and their freeness2021
- Author(s)
  Takuro Abe
- Organizer
  JSPS-VAST Bilateral Joint Research Project Workshop "Singularities, arrangements, and low-dim. topology"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-23K20788
[Presentation] Projective dimension of logarithmic modules of hyperplane arrangements2021
- Author(s)
  Takuro Abe
- Organizer
  RIMS x OIST Jointly-funded Workshop: "Interactions of New Trends in Algebraic Geometry and Singularities"
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0389
[Presentation] Double points and freeness of line arrangements in the projective plane2020
- Author(s)
  Takuro Abe
- Organizer
  Afternoon Seminars on Hyperplanes on line
- Invited
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Projective dimensions and addition-deletion theorems for hyperplane arrangements2020
- Author(s)
  Takuro Abe
- Organizer
  Arrangements at Home, III: Algebraic Aspects
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] 複素数体上の超可解配置の Dirac-Motzkin 予想と対数的ベクトル場の分裂型2020
- Author(s)
  阿部拓郎
- Organizer
  第7回代数幾何学研究集会-宇部-
- Invited
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Combinatorics of the addition-deletion theorems for free arrangements2019
- Author(s)
  Takuro Abe
- Organizer
  CIMPA - IMH Research School HYPERPLANE ARRANGEMENTS: RECENT ADVANCES AND OPEN PROBLEMS
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Free arrangements, combinatorics and geometry2019
- Author(s)
  Takuro Abe
- Organizer
  Hyperplane Arrangements and Japanese-Australian Workshop on Real and Complex Singularities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0389
[Presentation] Combinatorics of the addition-deletion theorems for arrangements2019
- Author(s)
  Takuro Abe
- Organizer
  On hyperplane arrangements, configuration spaces and related topics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Free arrangements, restrictions and related topics2019
- Author(s)
  Takuro Abe
- Organizer
  Hyperplane Arrangements and Reflection Groups
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Solomon-Terao algebra of hyperplane arrangements and singularities2019
- Author(s)
  Takuro Abe
- Organizer
  Special Session on Geometry and Topology of Singularities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-18KK0389
[Presentation] Recent topics on free arrangements2019
- Author(s)
  Takuro Abe
- Organizer
  Arrangements at Western
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] 自由超平面配置の加除定理の組み合わせ依存性2018
- Author(s)
  阿部拓郎
- Organizer
  数理科学談話会（信州大学）
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] 超平面配置の代数・自由性と組み合わせ論2018
- Author(s)
  阿部拓郎
- Organizer
  組合せ論サマースクール2018
- Invited
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Hessenberg varieties and hyperplane arrangements2018
- Author(s)
  Takuro Abe
- Organizer
  Hessenberg varieties 2018 in Osaka
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] The b_2-equality and free arrangements2018
- Author(s)
  Takuro Abe
- Organizer
  New perspectives in hyperplane arrangements
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Poincare polynomials and free arrangements2018
- Author(s)
  阿部拓郎
- Organizer
  A walk between hyperplane arrangements, computer algebra and algorithms
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Generators for logarithmic derivation modules of hyperplane arrangements2018
- Author(s)
  Takuro Abe
- Organizer
  Topology and Geometry: A conference in memory of Stefan Papadima (1953-2018)
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Hessenbergs and hyperplane arrangements part II2018
- Author(s)
  Takuro Abe
- Organizer
  Hessenberg Varieties in Combinatorics, Geometry and Representation Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Generators of logarithmic derivation modules of hyperplane arrangements2018
- Author(s)
  Takuro Abe
- Organizer
  Arrangements of Hypersurfaces
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Free arrangements of hyperplanes and applications2018
- Author(s)
  Takuro Abe
- Organizer
  Workshop on Algebraic Geometry
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] 超平面配置の対数的ベクトル場と自由性2018
- Author(s)
  阿部拓郎
- Organizer
  日本数学会秋季総合分科会特別講演（代数学分科会）
- Invited
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Solomon-Terao algebra of hyperplane arrangements2018
- Author(s)
  阿部拓郎
- Organizer
  Topology of arrangements and representation stability
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Hyperplane arrangements and Hessenberg varieties2017
- Author(s)
  阿部拓郎
- Organizer
  Advances in Arrangement Theory
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Hyperplane arrangments, Solomon-Terao algebras and applications to Hessenberg varieties2017
- Author(s)
  阿部拓郎
- Organizer
  変換群を核とする代数的位相幾何学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] 自由配置に関する近年の進展とその応用2017
- Author(s)
  阿部拓郎
- Organizer
  不変式・超平面配置と平坦構造
- Invited
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Algebra and combinatorics of hyperplane arrangements2017
- Author(s)
  阿部拓郎
- Organizer
  The 15th Japan-Korea Workshop on Algebra and Combinatorics
- Place of Presentation
  熊本大学
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] The b_2-inequality and freeness of the restrictions of hyperplane arrangements2017
- Author(s)
  阿部拓郎
- Organizer
  Advances in Hyperplane Arrangements
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Solomon-Terao algebra of hyperplane arrangements2017
- Author(s)
  阿部拓郎
- Organizer
  Toric Topology 2017 in Osaka
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Hyperplane arrangements and Hessenberg varieties2017
- Author(s)
  阿部拓郎
- Organizer
  Arrangements and beyond
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Algebra and geometry of Solomon-Terao's formula2017
- Author(s)
  阿部拓郎
- Organizer
  Hyperplane Arrangements and related topics
- Place of Presentation
  北海道大学
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Hyperplane arrangements and Hessenberg varieties2017
- Author(s)
  阿部拓郎
- Organizer
  The 5th Franco-Japan-Vietnamese Symposium on Singularities
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] 超平面配置の自由性研究に関する最近の進展と話題2016
- Author(s)
  阿部拓郎
- Organizer
  大阪組合せ論セミナー
- Place of Presentation
  大阪市立大学
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Divisionally free arrangements of hyperplanes2016
- Author(s)
  阿部拓郎
- Organizer
  第61回代数学シンポジウム
- Place of Presentation
  佐賀大学
- Invited
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Near freeness of plane curves and line arrangements2016
- Author(s)
  阿部拓郎
- Organizer
  第13回代数曲面ワークショップat 高知
- Place of Presentation
  高知工科大学
- Invited
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] 超平面配置の自由性と組合せ論2016
- Author(s)
  Takuro Abe
- Organizer
  第13 回城崎新人セミナー
- Place of Presentation
  城崎総合支所
- Year and Date
  2016-02-16
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Hyperplane arrangements and Hessenberg varieties2016
- Author(s)
  阿部拓郎
- Organizer
  Oberseminar
- Place of Presentation
  University of Bremen
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Divisional flags and freeness of hyperplane arrangements2016
- Author(s)
  阿部拓郎
- Organizer
  The Japanese Conference on Combinatorics and its Applications, Mini symposium:Combinatorics of hyperplane arrangements
- Place of Presentation
  京都大学
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Divisionally free arrangements of hyperplanes2016
- Author(s)
  阿部拓郎
- Organizer
  第61回代数学シンポジウム
- Place of Presentation
  佐賀大学
- Invited
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Recent topics on free arrangements of hyperplanes2016
- Author(s)
  阿部拓郎
- Organizer
  Summer Conference on Hyperplane Arrangements(SCHA) in Sapporo
- Place of Presentation
  北海道大学
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16H03924
[Presentation] Some remarks on nearly free arrangements of lines in the projective plane2016
- Author(s)
  Takuro Abe
- Organizer
  Workshop on Hyperplane Arrangements and Singularity Theory
- Place of Presentation
  北海道大学
- Year and Date
  2016-03-25
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Freeness and flags of hyperplane arrangementｓ2016
- Author(s)
  Takuro Abe
- Organizer
  Special Session on Topology and Combinatorics of Arrangements (in honor of Mike Falk), AMS Sectional Meeting
- Place of Presentation
  Stony Brook University
- Year and Date
  2016-03-20
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Recent topics on free arrangements of hyperplanes2016
- Author(s)
  阿部拓郎
- Organizer
  Summer Conference on Hyperplane Arrangements(SCHA) in Sapporo
- Place of Presentation
  北海道大学
- Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] T. Abe, Divisionally free arrangements of hyperplanes2016
- Author(s)
  阿部拓郎
- Organizer
  MS seminar
- Place of Presentation
  IPMU、東京大学柏キャンパス
- Data Source
  KAKENHI-PROJECT-16K13744
[Presentation] Divisionally free arrangements of hyperplanes2015
- Author(s)
  Takuro Abe
- Organizer
  Differential and combinatorial aspects of singularities
- Place of Presentation
  TU Kaiserslautern
- Year and Date
  2015-08-06
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Divisional freeness and the second Betti number of hyperplane arrangements2015
- Author(s)
  Takuro Abe
- Organizer
  Hyperplane arrangements and reflection groups
- Place of Presentation
  Leibniz University Hannover
- Year and Date
  2015-08-11
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] 剰余的自由超平面配置について2015
- Author(s)
  Takuro Abe
- Organizer
  第三回杜の都代数幾何学研究集会＠福岡
- Place of Presentation
  福岡大学セミナーハウス
- Year and Date
  2015-11-26
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Division free theorem for line arrangements and divisionally free arrangements of hyperplanes2015
- Author(s)
  Takuro Abe
- Organizer
  Arrangements of plane curves and related problems
- Place of Presentation
  首都大学東京
- Year and Date
  2015-03-17
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] 直線配置の数え上げ幾何とベッチ数2015
- Author(s)
  阿部拓郎
- Organizer
  信州大学数理科学談話会
- Place of Presentation
  信州大学
- Year and Date
  2015-02-06
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Division and localization of characteristic polynomials of hyperplane arrangements2015
- Author(s)
  Takuro Abe
- Organizer
  Combinatorics and Algebraic Topology of Configurations
- Place of Presentation
  Centro De Giorgi, Pisa, Italy
- Year and Date
  2015-02-19
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Intersection points and Betti numbers of line arrangements2014
- Author(s)
  Takuro Abe
- Organizer
  Japan Conference on Graph Theory and Combinatorics
- Place of Presentation
  日本大学
- Year and Date
  2014-05-20
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] 直線配置の代数と組み合わせ論1,22014
- Author(s)
  阿部拓郎
- Organizer
  組合せ論と可換代数サマーセミナー2014
- Place of Presentation
  宮島コーラルホテル
- Year and Date
  2014-09-24
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Stability of line arrangements in the projective plane2014
- Author(s)
  Takuro Abe
- Organizer
  Geometry and Combinatorics of Hyperplane Arrangements and Related Problems
- Place of Presentation
  北海道大学
- Year and Date
  2014-09-02
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] The freeness of ideal subarrangements of Weyl arrangements2014
- Author(s)
  Takuro Abe
- Organizer
  Seminarie Geometrie et Systemes Dynamiques
- Place of Presentation
  University of Bourgogne, Dijon, France
- Year and Date
  2014-11-28
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Intersection points and Betti numbers of line arrangements2014
- Author(s)
  Takuro Abe
- Organizer
  Special session ``D-modules and Singularities'' at First Joint International Meeting RSME-SCM-SEMA-SIMAI-UMI
- Place of Presentation
  The University of the Basque Country, Bilbao, Spain
- Year and Date
  2014-07-01
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Freeness and Geometry of line arrangements2014
- Author(s)
  Takuro Abe
- Organizer
  Hokkaido University - University of Bremen Joint Symposium Special session:Arrangements of Hyperplanes
- Place of Presentation
  University of Bremen, Bremen, Germanry
- Year and Date
  2014-12-03
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Recent developments on algebra of line arrangements2014
- Author(s)
  Takuro Abe
- Organizer
  The 2nd Franco-Japanese-Vietnamese Symposium on Singularities
- Place of Presentation
  北海道大学
- Year and Date
  2014-08-27
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Chambers and freeness of line arrangements2011
- Author(s)
  Takuro Abe
- Organizer
  AMS Sectional Meeting
- Place of Presentation
  College of Holy Cross, Worcester, USA
- Year and Date
  2011-04-09
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Chambers and freeness of line arrangements2011
- Author(s)
  阿部拓郎
- Organizer
  第六回代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学(招待講演)
- Year and Date
  2011-02-15
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] 超平面配置の代数と幾何I, II, III2011
- Author(s)
  Takuro Abe
- Organizer
  2011函数方程式論サマーセミナー
- Place of Presentation
  支笏湖休暇村
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Chambers and freeness of line arrangements2011
- Author(s)
  Takuro Abe
- Organizer
  Free divisor conference
- Place of Presentation
  University of Warwick, Coventry, UK
- Year and Date
  2011-05-31
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Chambers and freeness of line arrangements2011
- Author(s)
  Takuro Abe
- Organizer
  代数・解析・幾何学セミナー
- Place of Presentation
  鹿児島大学
- Year and Date
  2011-02-15
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] 超平面配置の代数と幾何I,II,III2011
- Author(s)
  阿部拓郎
- Organizer
  2011函数方程式論サマーセミナー
- Place of Presentation
  支笏湖休暇村
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Exponents and freeness of 3-arrangements2010
- Author(s)
  Takuro Abe
- Organizer
  代数幾何の関連する諸分野
- Place of Presentation
  北海道大学
- Year and Date
  2010-09-02
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Chambers and freeness of real arrangements of hyperplanes2010
- Author(s)
  阿部拓郎
- Organizer
  Colloquium at US Naval Academy
- Place of Presentation
  US Naval Academy, Washington DC, USA(招待講演)
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Chambers and freeness of real arrangements of hyperplanes2010
- Author(s)
  Takuro Abe
- Organizer
  Colloquium
- Place of Presentation
  US Naval Academy, Washington DC, USA
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Exponents and freeness of 3-arrangements2010
- Author(s)
  Takuro Abe
- Organizer
  特異点と多様体の幾何学
- Place of Presentation
  山形大学
- Year and Date
  2010-09-16
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Free Coxeter arrangements and applications2010
- Author(s)
  Takuro Abe
- Organizer
  The 2nd Kyushu University-POSTECH Joint Workshop-Algebraic Geometry and Related Topics
- Place of Presentation
  九州大学
- Year and Date
  2010-03-18
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Exponents and freeness of 3-arrangements2010
- Author(s)
  阿部拓郎
- Organizer
  特異点と多様体の幾何学
- Place of Presentation
  山形大学(招待講演)
- Year and Date
  2010-09-16
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Exponents and freeness of 3-arrangements2010
- Author(s)
  阿部拓郎
- Organizer
  代数幾何の関連する諸分野
- Place of Presentation
  北海道大学(招待講演)
- Year and Date
  2010-09-02
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Free Coxeter arrangements and applications2010
- Author(s)
  阿部拓郎
- Organizer
  The 2nd Kyushu University-POSTECH Joint Workshop -Algebraic Geometry and Related Topics-
- Place of Presentation
  九州大学
- Year and Date
  2010-03-18
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Primitive derivations and Coxeter multiarrangements2009
- Author(s)
  Takuro Abe
- Organizer
  RIMS研究集会『表現論と組合わせ論』
- Place of Presentation
  北海道大学
- Year and Date
  2009-08-27
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Primitive derivations and free Coxeter multiarrangements2009
- Author(s)
  阿部拓郎
- Organizer
  数学小研究会@つくば
- Place of Presentation
  筑波大学
- Year and Date
  2009-07-06
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Primitive derivations and Coxeter multiarrangements2009
- Author(s)
  阿部拓郎
- Organizer
  RIMS研究集会「表現論と組合せ論」
- Place of Presentation
  北海道大学
- Year and Date
  2009-08-27
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] A generalized logarithmic module and Coxeter multiarrangements2009
- Author(s)
  阿部拓郎
- Organizer
  日本数学会秋季総合分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-27
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] A generalized logarithmic module and Coxeter multiarrangements2009
- Author(s)
  阿部拓郎
- Organizer
  京都大学代数幾何セミナー
- Place of Presentation
  京都大学
- Year and Date
  2009-10-16
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Primitive derivations and free Coxeter multiarrangements2009
- Author(s)
  Takuro Abe
- Organizer
  数学小研究集会
- Place of Presentation
  つくば筑波大学
- Year and Date
  2009-07-06
- Data Source
  KAKENHI-PROJECT-21740014
[Presentation] Height basis for Weyl arrangements
- Author(s)
  阿部拓郎
- Organizer
  Workshop on free divisors and differential equations
- Place of Presentation
  東京農工大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Intersection points and Betti numbers of the complements of line arrangements
- Author(s)
  Takuro Abe
- Organizer
  Branched Coverings, Degenerations, and Related Topics 2014
- Place of Presentation
  広島大学
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Height bases for Weyl arrangements
- Author(s)
  阿部拓郎
- Organizer
  Hyperplane Arrangements: Combinatorial and Geometric Aspects
- Place of Presentation
  Ruhr Universitat Bochum
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Digraphs and free deformations between　Coxeter and Catalan arrangements of the type A
- Author(s)
  阿部拓郎
- Organizer
  代数幾何とその周辺
- Place of Presentation
  北海道大学
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] 平面直線の交点と補空間のベッチ数
- Author(s)
  Takuro Abe
- Organizer
  第五回代数曲面ワークショップ at 秋葉原
- Place of Presentation
  首都大学東京秋葉原サテライトキャンパス
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] Roots of characteristic polynomials and intersection points of line arrangements
- Author(s)
  Takuro Abe
- Organizer
  Joint International Meeting of the American Mathematical Society and the Romanian Mathematical Society, Special Session: Geometry and Topology of Arrangements of Hypersurfaces
- Place of Presentation
  "1 Decembrie 1918" University of Alba Iulia, Alba Iulia, Romania
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] The freeness of ideal subarrangements of Weyl arrangements
- Author(s)
  Takuro Abe
- Organizer
  New perspectives in hyperplane and reflection arrangements
- Place of Presentation
  Ruhr University Bochum, Bochum, Germany
- Invited
- Data Source
  KAKENHI-PROJECT-24740012
[Presentation] 超平面配置の代数と組み合わせ論
- Author(s)
  Takuro Abe
- Organizer
  大阪組み合わせ論セミナー
- Place of Presentation
  大阪市立大学梅田サテライト
- Invited
- Data Source
  KAKENHI-PROJECT-24740012

1. Yoshinaga Masahiko (90467647)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
2. 沼田泰英 (00455685)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. 村井聡 (90570804)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
4. 島田伊知朗 (10235616)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
5. 徳永浩雄 (30211395)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
6. 鍛冶静雄 (00509656)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. Terao Hiroaki (90119058)

# of Collaborated Projects: 1 results

# of Collaborated Products: 6 results
8. KAMIYA Hidehiko (50300687)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
9. KOHNO Toshitake (80144111)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
10. TAKEMURA Akimichi (10171670)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
11. TERAOSOMA Tomohide (50192654)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
12. MATSUMOTO Kohji (60192754)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
13. NAKASHIMA Norihiro (90732115)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. 榎本直也 (50565710)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. 白井朋之 (70302932)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. 長谷部高広 (00633166)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. 石川昌治 (10361784)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. 東谷章弘 (60723385)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. 辻栄周平 (60755099)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. 桑原敏郎 (60524725)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. 安田雅哉 (30536313)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 高木俊輔 (40380670)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. Yano Kouji

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. Cuntz Michael

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
25. Hoge Torsten

# of Collaborated Projects: 1 results

# of Collaborated Products: 3 results
26. Roehrle Gerhard

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. Schenck Hal

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. ABE Noriyuki

# of Collaborated Projects: 0 results

# of Collaborated Products: 3 results

Abe Takuro 阿部 拓郎

ABE Takuro 阿部 拓郎

Research Projects

Research Products

Co-Researchers

Developments of theory of hyperplane arrangements and application to black box of AIPrincipal Investigator

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Discrete structures related to hyperplane arrangements, generalization, deepening, and applications

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Fusion of enumerative and algebraic geometry and exploration of quasi-geometric invariantsPrincipal Investigator

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Research of logarithmic vector fields of hyperplane arrangementsPrincipal Investigator

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Fusion of algebra, geometry and combinatorics based on the roots of Poincare polynomials of hyperplane arrangementsPrincipal Investigator

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Research on the Solomon-Terao complexes by using D-module theoryPrincipal Investigator

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Explicit study of hyperplane arrangements and related stratified spaces via discrete structures

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Research on the coinvariant ring theory for hyperplane arrangements and the new developments of its representation and geometryPrincipal Investigator

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New developments on the freeness and topology of hyperplane arrangements, and random walksPrincipal Investigator

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Analysis of freeness of hyperplane arrangements and related geometryPrincipal Investigator

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Panoptic Study of Hyperplane arrangements

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Analysis of freeness of multiarrangements and generation of related geometryPrincipal Investigator

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超平面配置上の自由重複度の研究Principal Investigator

Principal Investigator

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Abe Takuro 阿部拓郎

ABE Takuro 阿部拓郎