| Budget Amount *help |
¥10,530,000 (Direct Cost: ¥8,100,000、Indirect Cost: ¥2,430,000)
Fiscal Year 2020: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2019: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2018: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2017: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Outline of Final Research Achievements |
The twistor spaces associated with 4-dimensional compact self-dual manifolds are 3-dimensional compact complex manifolds. Most of them do not admit a Kahler metric, and moreover, they are known to be non-algebraic (in the sense that they are not bimeromorphic to projective algebraic varieties). In this study, we investigate the structure of compact twistor spaces that do not have a Kahler metric but are algebraic (in the sense that they are bimeromorphic to projective algebraic varieties). For any given twistor space, there is a linear system called the fundamental system, and it was known that the structure of the twistor space is considerably limited by the structure of a divisor belonging to the fundamental system. In this study, we obtained a structure theorem for algebraic compact twistor spaces such that the fundamental system is of dimension one or more.
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