2014 Fiscal Year Final Research Report
Log picard varieties and their applications
| Project/Area Number |
24540035
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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 |
Algebra
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| Research Institution | Yokohama National University |
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Principal Investigator |
KAJIWARA Takeshi 横浜国立大学, 工学(系)研究科(研究院), 教授 (00250663)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Keywords | 代数幾何 |
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| Outline of Final Research Achievements |
Our research studies geometry of log abelian varieties, and as its application, log Picard varieties. We mainly show the following. We introduce the notion of weak log abelian varieties, and show that such varieties are of finite presentation. We also construct their proper models. We apply these results and have compactification of some degenerating Picard varieties. The research on log abelian varieties is a joint work with Kazuya Kato and Chikara Nakayama.
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| Free Research Field |
数物系科学
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