Kahler-Einstein metrics and stability
| Project/Area Number |
22740041
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Geometry
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| Research Institution | Kumamoto University (2011-2012)
Kyushu University (2010) |
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Principal Investigator |
SANO Yuji 熊本大学, 大学院・自然科学研究科, 准教授 (00399792)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | ケーラーアインシュタイン計量 / K-安定性 / 幾何学 / 端的ケーラー計量 / balanced計量 / トーリックファノ多様体 / 乗数イデアル層 / リッチソリトン / K安定性 / 対数的標準閾値 |
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| Research Abstract |
In this project, we proved the following results. (1) We showedthe algebro-geometric proof for the relation between the alpha invariant and K-stability.(2) We gave the first example of asymptotically Chow unstable Kahler-Einstein manifolds.(3) We calculated the support of the multiplier ideal subschemes induced by Kahler-Ricciflow. (4) We gave the lower diameter bounds for compact shrinking Ricci solitons.
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Report
(4 results)
Research Products
(46 results)
