Studies of Cohen-Macaulay modules over Gorenstein local rings
| Project/Area Number |
22740008
|
|---|
| Research Category |
Grant-in-Aid for Young Scientists (B)
|
| Allocation Type | Single-year Grants |
|---|
| Research Field |
Algebra
|
|---|
| Research Institution | Nagoya University (2011-2012)
Shinshu University (2010) |
|---|
Principal Investigator |
TAKAHASHI Ryo 名古屋大学, 多元数理科学研究科, 准教授 (40447719)
|
|---|
| Project Period (FY) |
2010 – 2012
|
| Project Status |
Completed (Fiscal Year 2012)
|
| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2010: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
|
|---|
| Keywords | Gorenstein 環 / Cohen-Macaulay 環 / Cohen-Macaulay 加群 / 加群圏 / 導来圏 / 特異圏 / 分解部分圏 / thick 部分圏 / 可換Noether環 / resolving部分圏 / thick部分圏 / Cohen-Macaulay環 / 三角次元 / 三角圏 / 次元 / 有界導来圏 / Gorenstein環 / Cohen-Macaulay加群 / 安定圏 / Cohen-Macaulay / 特殊化閉 / 超曲面 / Gorenstein |
|---|
| Research Abstract |
The structure of Cohen-Macaulay modules that are locally free on the punctured spectrum was investigated, and a result of Keller, Murfet and Van den Bergh on Cohen-Macaulay modules over the completion was recovered. The resolving subcategories of Cohen-Macaulay modules over a hypersurface and the thick subcategories of the singularity category were classified completely by using specialization closed subsets of the singular locus. As an application, a theorem of Huneke and Wiegand on the rigidity of Tor modules was recovered.
|
Report
(4 results)
Research Products
(105 results)
