2016 Fiscal Year Final Research Report
Studies of maximal Cohen-Macaulay modules over graded hypersurfaces
| Project/Area Number |
26400056
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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 of Science |
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Principal Investigator |
Araya Tokuji 岡山理科大学, 理学部, 准教授 (70613222)
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| Co-Investigator(Renkei-kenkyūsha) |
YOSHINO Yuji 岡山大学, 理学部, 教授 (00135302)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 超曲面 / 極大コーエン・マコーレー加群 |
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| Outline of Final Research Achievements |
The aim this research is to study the category of maximal Cohen-Macaulay modules over graded hypersurfaces. It is well-known that the stable category of maximal Cohen-Macaulay modules over Gorenstein rings has a structure of triangulated category and that hypersurface is a typical example of Gorenstein.
The main result of this research is to give a classification of the thick subcategories of the steble category over the simple hypersurface singularity of type A and D. I gave a talk about this result at the international conference which held at Syracuse university.
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| Free Research Field |
可換環論
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