Budget Amount *help |
¥13,260,000 (Direct Cost: ¥10,200,000、Indirect Cost: ¥3,060,000)
Fiscal Year 2020: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2019: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2018: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2017: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2016: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
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Outline of Final Research Achievements |
Let f : X --> Y be a family of compact algebraic manifolds, which can be singular along the central fiber X_0. We obtained various results which connect properties of X_0, properties of general fibers X_y, and properties of Y associated with f. We also studied in details functions on Y which come from fiber integrals along the fibers of f :X --> Y. We proved a formula of the asymptotic expansion of such functions on Y. There is no development for about 40 years in the case dim Y > 1, because of technical difficulties.
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