2015 Fiscal Year Final Research Report
Studies on developments and applications for the toric Mori theory
| Project/Area Number |
23540062
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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 | Fukuoka University (2014-2015)
Gifu Shotoku Gakuen University (2011-2013) |
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Principal Investigator |
Sato Hiroshi 福岡大学, 理学部, 准教授 (20433310)
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| Project Period (FY) |
2011-04-28 – 2016-03-31
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| Keywords | トーリック多様体 / ２ファノ多様体 / 森理論 / 変形理論 |
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| Outline of Final Research Achievements |
In this research, we mainly studied about smooth projective toric varieties whose second Chern characters are non-negative. We studied a new method to calculate two-cycles on toric manifolds, and as a result, we completely determined the geometric structure of such manifolds when they have a Fano contraction. Moreover, we obtained a classification result about toric 2-Fano manifolds for a special case. Also we obtained some results about the ordinary toric Mori theory and the deformation theory of toric varieties.
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| Free Research Field |
代数幾何学
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