Log picard varieties and their applications
Project/Area Number |
24540035
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Yokohama National University |
Principal Investigator |
KAJIWARA Takeshi 横浜国立大学, 工学(系)研究科(研究院), 教授 (00250663)
|
Project Period (FY) |
2012-04-01 – 2015-03-31
|
Project Status |
Completed (Fiscal Year 2014)
|
Budget Amount *help |
¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
|
Keywords | 代数幾何 / 対数構造 / ピカール多様体 / 退化代数多様体 / 退化多様体 |
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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Report
(4 results)
Research Products
(2 results)