2016 Fiscal Year Final Research Report
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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| Keywords | 概主束 / 標準加群 / F有理 / 因子類群 |
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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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| Free Research Field |
代数学
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