Studies on developments and applications for the toric Mori theory
Project/Area Number |
23540062
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Fukuoka University (2014-2015) Gifu Shotoku Gakuen University (2011-2013) |
Principal Investigator |
Sato Hiroshi 福岡大学, 理学部, 准教授 (20433310)
|
Project Period (FY) |
2011-04-28 – 2016-03-31
|
Project Status |
Completed (Fiscal Year 2015)
|
Budget Amount *help |
¥4,940,000 (Direct Cost: ¥3,800,000、Indirect Cost: ¥1,140,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | トーリック多様体 / 2ファノ多様体 / 森理論 / 変形理論 / 端射的収縮写像 / ファノ多様体 / 2サイクル / 高次サイクル |
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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Report
(6 results)
Research Products
(12 results)