Canonical Kahler metrics, algebro-geometric stability and Sasakian geometry
| Project/Area Number |
24540098
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Geometry
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| Research Institution | Saitama University (2013-2016)
Tokyo University of Science (2012) |
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Principal Investigator |
ONO Hajime 埼玉大学, 理工学研究科, 准教授 (70467033)
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| Co-Investigator(Renkei-kenkyūsha) |
FUTAKI Akito 東京大学, 大学院数理科学研究科, 教授 (90143247)
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| Project Period (FY) |
2012-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥5,200,000 (Direct Cost: ¥4,000,000、Indirect Cost: ¥1,200,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | トーリック幾何 / チャウ安定性 / K-安定性 / ハミルトン体積最小性 / ラグランジュ部分多様体 / 共形ケーラーアインシュタイン・マックスウェル計量 / トーリック多様体 / 偏極トーリック多様体 / ケーラー・アインシュタイン計量 |
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| Outline of Final Research Achievements |
Based on a viewpoint of “volume minimization property”, we improved knowledge on the following topics for toric Kahler manifolds: algebraic geometry (GIT stability and K-stability), submanifold theory (Hamiltonian volume minimization problem of Lagrangian submanifolds) and existence problem of canonical metrics (Futaki type invariants on conformally Kahler Einstein-Maxwell metrics).
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Report
(6 results)
Research Products
(14 results)
