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J-GLOBAL ID：201101047508032946
Update date: Apr. 10, 2025 Abe Hiraku
アベ ヒラク | Abe Hiraku
Okayama University of Science Faculty of Science Department of Applied Mathematics
About Okayama University of Science Faculty of Science Department of Applied Mathematics
Research keywords (7)：
Hessenberg varieties
, Transformation groups
, Schubert calculus
, Toric varieties
, Algebraic geometry
, Algebraic topology
, Combinatorics
Research theme for competitive and other funds (8)： - 2023 - 2028 ヘッセンバーグ多様体とトーリック幾何の繋がり
- 2022 - 2023 Hessenberg多様体の幾何学と組み合わせ論
- 2020 - 2022 Hessenberg多様体のトポロジーと組合せ論
- 2018 - 2022 ヘッセンバーグ多様体の族と可積分系
- 2019 - 2020 トーラス群作用の幾何とトポロジー
Show all
- Hiraku Abe, Haozhi Zeng. Totally nonnegative part of the Peterson variety in Lie type A. Math. Z. 2025. 309. 71
- Hiraku Abe, Erik Insko. On singularity and normality of regular nilpotent Hessenberg varieties. J. Algebra. 2024. 651. 70-110
- Hiraku Abe, Tatsuya Horiguchi, Hideya Kuwata, Haozhi Zeng. Geometry of Peterson Schubert calculus in type A and left-right diagrams. Algebr. Comb. 2024. 7. 2. 383-412
- Hiraku Abe, Naoki Fujita, Haozhi Zeng. Fano and Weak Fano Hessenberg Varieties. Michigan Math. J. 2023. 73. 3. 511-555
- Hiraku Abe, Tatsuya Horiguchi. A survey of recent developments on Hessenberg varieties. Schubert calculus and its applications in combinatorics and representation theory. 2020. 251-279
- Hiraku Abe, Haozhi Zeng. Peterson varieties and toric orbifolds associated to Cartan matrices. 2023
- 阿部拓. A型Peterson Schubert calculusの幾何と計算. 数理解析研究所講究録. 2022. 2231. 54-59
- Hiraku Abe, Haozhi Zeng. The integral cohomology rings of Peterson varieties in type A. arXiv:2203.02629. 2022
- 阿部拓. 旗多様体上のあるベクトル束に現れる 正則Poisson構造と完全可積分系について. 数理解析研究所講究録. 2018. 2098. 76-82
- 阿部 拓. ルート系から定まるトーリック多様体上の交叉数とヤング図 (変換群の位相幾何と代数構造). 数理解析研究所講究録. 2014. 1922. 78-83
- トゥー多様体
裳華房 2019 ISBN:9784785315863
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Divisors on regular Hessenberg varieties for h=(2, 3, 4, ..., n, n)
(The 7th Korea Toric Topology Workshop (KAIST) 2025) -
Peterson varieties and toric geometry
(Superspace coinvariants, hyperplane arrangements and Hessenberg varieties (Waseda University) 2024) -
Peterson variety and toric geometry
(Workshop on toric topology 2024 in Shanghai (online) 2024) -
Peterson variety とトーリック幾何
(AGU 表現論セミナー 表現論のランドスケープ (青山学院大学) 2024) -
Line bundles over regular semisimple Hessenberg variety for h=(2,3,4,...,n,n)
(TGTC workshop 2024 in Himeji (Egret Himeji) 2024)
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