| Budget Amount *help |
¥16,120,000 (Direct Cost: ¥12,400,000、Indirect Cost: ¥3,720,000)
Fiscal Year 2022: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2021: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2020: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2019: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
Fiscal Year 2018: ¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
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| Outline of Final Research Achievements |
In this project, we tried to combine discrete geometric methods and the theory of Groebner bases of toric ideals, and to study unsolved problems related to integral convex polytopes and to promote the development of new methods at the same time. In particular, we proved that the Minkowski sum of unit simplices is normal, and hence famous “Oda conjecture” is correct for nestohedra. We also studied the gamma-positivity of the delta-polynomials of integral convex polytopes and proved the gamma-positivity of some important integral convex polytopes by using the theory of Groebner bases.
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