2017 Fiscal Year Final Research Report
An explicit study for K-stability of Fano manifolds
| Project/Area Number |
16H06885
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| Research Category |
Grant-in-Aid for Research Activity Start-up
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| Allocation Type | Single-year Grants |
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| Research Field |
Algebra
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| Research Institution | Kyoto University |
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Principal Investigator |
Fujita Kento 京都大学, 数理解析研究所, 助教 (40779146)
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| Project Period (FY) |
2016-08-26 – 2018-03-31
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| Keywords | ファノ多様体 / K安定性 / 極小モデル理論 |
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| Outline of Final Research Achievements |
I mainly treated the problem that which Fano manifolds admit Kaehler-Einstein metrics. It has been know that the existence of Kaehler-Einstein metrics is equivalent to K-stability, a purely algebro-geometric condition. The purpose of the project was to simplify the condition for K-stability of Fano manifolds. More precisely, we simplify "a valuative criterion" for K-stability of Fano manifolds, which is equivalent to K-stability.
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| Free Research Field |
代数幾何学
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