| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
The purpose of this study was developing some approach for the study of fibration structures, and its application to some problems on complex algebraic surfaces of general type. In addition to some partial results on the original purposes, we obtained as their application some results on minimal complex surfaces with the first Chern number 9, the Euler characteristic of the structure sheaf 5, and the first Chern class divisible by 3. These include a complete structure theorem for the surfaces of this class, the uniqueness of the underlying differentiable structure, the unirationality and the dimension of the moduli space, and some concrete descriptions on the behaviour of the canonical map.
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