2012 Fiscal Year Final Research Report
Study of Cohen-Macaulay modules from the viewpoint of deformation and degeneration
| Project/Area Number |
23654011
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| Research Category |
Grant-in-Aid for Challenging Exploratory Research
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| Allocation Type | Multi-year Fund |
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| Research Field |
Algebra
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| Research Institution | Okayama University |
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Principal Investigator |
YOSHINO Yuji 岡山大学, 大学院・自然科学研究科, 教授 (00135302)
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| Co-Investigator(Renkei-kenkyūsha) |
IYAMA Osamu 名古屋大学, 大学院・多元数理科学研究科, 教授 (70347532)
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| Project Period (FY) |
2011 – 2012
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| Keywords | 可換環 / 安定圏 / Cohen-Macaulay 加群 / 変形 / 退化 |
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| Research Abstract |
One of the aims of this study is to construct a new theory of degeneration of Cohen-Macaulay modules based on the algebraic definition of degeneration. To study the degeneration of Cohen-Macaulay modules we have given careful consideration to the analogue of degeneration in the stable category. We have proved that this analogue in the stable category is easier in the actual computation. Using this idea we observed a lot of examples of degeneration of modules.
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