| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
We showed by examples that almost principal bundles are ubiquitous and universal notion that appears various situations in invariant theory, commutative algebra, and algebraic geometry. In particular, we obtained a theorem concerning finiteness of the class group of an invariant subring. We also studied jointly with P. Symonds on the asymptotic behavior of Frobenius direct images, deepening the joint work of the leader with Yusuke Nakajima. Also, as an application of almost principal bundles, we studied canonical and n-canonical modules.
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