Minimal model program and singularity theory
| Project/Area Number |
16H06710
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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 | The University of Tokyo |
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Principal Investigator |
Nakamura Yusuke 東京大学, 大学院数理科学研究科, 助教 (20780034)
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| Project Period (FY) |
2016-08-26 – 2018-03-31
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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 極小モデル理論 / ACC予想 / 有理点問題 / LSC予想 / フリップの停止問題 / 特異点 / 極小ログ食い違い係数 |
|---|
| Outline of Final Research Achievements |
I studied the following two topics: (1)Vanishing theorem of Witt vector cohomology. (2) The ACC conjecture.
(1) As joint work with H. Tanaka, we prove vanishing theorems of
Witt vector coholomogy of Nadel type for 3-dimensional Fano varieties (characteristic > 5). We have two applications. One is the connectedness lemma. Another one is a rational point formula. (2) I study the paper by Birkar on the BAB conjecture, and try to apply the ACC conjecture.
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Report
(3 results)
Research Products
(12 results)
