| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
|---|
| Research Abstract |
We study geometric and combinatorial deformations of toric rings and show that a lot of properties of toric rings are inherited by taking a nested configuration that is a generalization of the basic operations, such as the product of polytopes. Moreover, for integer matrices, we define centrally symmetric configurations and prove that their toric rings has good properties (normal and Gorenstein etc.). In addition, it is shown that the normality of cut polytopes is closed under taking a minor and a clique sum.
|
