2013 Fiscal Year Final Research Report
On constructing of a minimal model of fibred algebraic varieties whose Kodaira dimension is zero
| Project/Area Number |
23654002
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Hokkaido University |
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Principal Investigator |
MATSUSHITA Daisuke 北海道大学, 理学(系)研究科(研究院), 准教授 (90333591)
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| Co-Investigator(Renkei-kenkyūsha) |
FUJINO Osamu 京都大学, 大学院・理学研究科, 准教授 (60324711)
KAWAKITA Masayuki 京都大学, 数理解析研究所, 准教授 (10378961)
TAKAGI Hiromichi 東京大学, 大学院・数理科学研究科, 准教授 (30322150)
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| Project Period (FY) |
2011 – 2012
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| Keywords | 極小モデル / アーベル多様体 |
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| Research Abstract |
Let us consider a smooth abelian fibration over a punctured disk or an open set of polydisk which obtained by removing a hypersurface. It is natural question whether these families can be extended over a disk or a polydisk. On 80th, it was announced that we could obtain such a relative compactification with a incomplete proof. Since semidarkness of the proof, there are several results with technical assumptions. By this result, we may get rid of these assumptions and obtain idealistic results.
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