Invariant theory of almost principal bundles
| Project/Area Number |
26400045
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Algebra
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| Research Institution | Okayama University |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| 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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| Keywords | 概主束 / 標準加群 / F有理 / 因子類群 / quasi-Gorenstein / Grothendieck 双対性 / ねじれ逆像 / 不変式環 / n-canonical module |
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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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Report
(4 results)
Research Products
(18 results)
