| 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)
|
|---|
| 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.
|
