Studies of maximal Cohen-Macaulay modules over graded hypersurfaces
Project/Area Number |
26400056
|
Research Category |
Grant-in-Aid for Scientific Research (C)
|
Allocation Type | Multi-year Fund |
Section | 一般 |
Research Field |
Algebra
|
Research Institution | Okayama University of Science |
Principal Investigator |
Araya Tokuji 岡山理科大学, 理学部, 准教授 (70613222)
|
Co-Investigator(Renkei-kenkyūsha) |
YOSHINO Yuji 岡山大学, 理学部, 教授 (00135302)
|
Project Period (FY) |
2014-04-01 – 2017-03-31
|
Project Status |
Completed (Fiscal Year 2016)
|
Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
|
Keywords | 超曲面 / 極大コーエン・マコーレー加群 / ゴーレンシュタイン環 / 次数付き環 / 三角圏 / 安定圏 / Gorenstein 環 / 次数付環 / weighted projective line |
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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Report
(4 results)
Research Products
(14 results)