Structure of algebraic varieties and unipotent geometry
| Project/Area Number |
21540055
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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 |
Algebra
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| Research Institution | Kwansei Gakuin University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
MASUDA Kayo 関西学院大学, 理工学部, 教授 (40280416)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 代数幾何 / アフィン多様体 / ホモロジー多様体 / 微分作用素 / 多項式環 / A^1-ファイブレーション / 商特異点 / 巡回型商特異点 / ホモロジー平面 / 可縮位相多様体 / 一般ジャコビアン予想 / ユニポテント代数群 / ベクトル場 / 商多様体 / 特異点 / 局所ベキ零導分 / ジャコビアン予想 |
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| Research Abstract |
Research on vector fields on affine varieties and properties of A^1-fibrations and A^1_*-fibrations on affine threefolds was successfully conducted. Properties of singular points on affine normal surfaces are also explored. Through this research, a new scope of studying the structure of affine threefolds via deformation theory is envisioned.
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Report
(4 results)
Research Products
(42 results)
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[Book] 現代数理入門2009
Author(s)
宮西正宜,茨木俊秀
Total Pages
282
Publisher
関西学院大学出版会(共編著)
Related Report
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