| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
The main purpose of this research project is the study of delta-vectors and normality of integral convex polytopes. The focus of this research is to study some relationships between delta-vectors and normality of integral convex polytopes from combinatorial and algebraic points of view. Concretely, for the question of which delta-vectors of dilated integral convex polytopes can be unimodal, a precise answer has been provided. Moreover, on the operations on integral convex polytopes, called Minkowski sums and free sums which work well for delta-vectors, the detailed studies of normality of Minkowski sums or free sums of integral convex polytopes have been developed. As the results of this project for three years, three research articles and two books have been written and six research talks have been given.
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