Combinatorics of Fano varieties and its application to Sasaki-Einstein manifolds
| Project/Area Number |
19540098
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Osaka City University |
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Principal Investigator |
HASHIMOTO Yoshitake Osaka City University, 知識工学部, 教授 (20271182)
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| Co-Investigator(Kenkyū-buntansha) |
SAKAGUCHI Makoto 岡山光量子研究所, 研究員 (90382027)
OHBA Kiyoshi お茶の水女子大学, 大学院・人間文化創成科学研究科, 准教授 (80242337)
YASUI Yukinori 大阪市立大学, 大学院・理学研究科, 准教授 (30191117)
NAKAI Hirofumi 東京都市大学, 知識工学部, 准教授 (80343739)
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| Project Period (FY) |
2007 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2007: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 微分幾何 / モジュライ空間 / 共形場理論 / 量子群 / D加群 / ファノ多様体 / 佐々木・アインシュタイン多様体 / 幾何学 / 代数学 / 数理物理 / 代数幾何 / 組合せ論 / 素粒子物理 |
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| Research Abstract |
Construction of Golay codes and Witt designs based on Grothendieck's bi-icosahedrons applied to error-correcting codes in communication theory. Formulation of fusion products and factorization in conformal field theory of C2 finite vertex algebras, which describes interaction of quantum fields.
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Report
(6 results)
Research Products
(56 results)
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[Journal Article]2009
Author(s)
橋本義武, ほか
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Journal Title
ゲージ理論の発展(II.ゲージ理論の対称性)(サイエンス社)
Pages: 74-80
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[Presentation] 頂点代数入門2011
Author(s)
橋本義武
Organizer
淡路島幾何学研究集会2011
Place of Presentation
国民宿舎慶野松原荘
Year and Date
2011-02-11
Related Report
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[Presentation] 頂点代数入門2011
Author(s)
橋本義武
Organizer
淡路島幾何学研究集会2011
Place of Presentation
国民宿舎慶野松原荘(兵庫県)
Year and Date
2011-02-11
Related Report
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[Presentation] 共形場理論の幾何2010
Author(s)
橋本義武
Organizer
第3回秋葉原微分幾何セミナー
Place of Presentation
首都大学東京秋葉原サテライトキャンパス
Year and Date
2010-07-10
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[Presentation] 共形場理論の幾何学2010
Author(s)
橋本義武
Organizer
研究集会「多様体の種々の幾何構造とその応用」
Place of Presentation
名城大 (名古屋)
Year and Date
2010-03-11
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