2017 Fiscal Year Final Research Report
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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| Keywords | 極小モデル理論 / ACC予想 / 有理点問題 |
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| 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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| Free Research Field |
双有理幾何学
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