| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
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: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We are interested in the following naturally looking problem "In which case, a given fibration between algebraic varieties whose general closed fibers admit effective unipotent group actions possesses an action the same group arising from those on general fibers ? ". This problem itself is quite difficult to accomplish completely, nevertheless we succeed into obtaining a certain sufficient condition. Meanwhile, by getting the above mentioned problem globalized, we consider the problem asking " Which kinds of Mori Fiber Spaces contain cylinders that are compatible with fiber structure ?" As for this problem, we know finally that the essence lies in behavior of the generic fibers, furthermore, we can obtain an effective criterion on the existence of cylinders depending on a given Mori Fiber Space.
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