| Budget Amount *help |
¥15,860,000 (Direct Cost: ¥12,200,000、Indirect Cost: ¥3,660,000)
Fiscal Year 2014: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2012: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2011: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2010: ¥3,770,000 (Direct Cost: ¥2,900,000、Indirect Cost: ¥870,000)
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| Outline of Final Research Achievements |
Following our current study on Groebner bases, we evolved the modern theory of Groebner bases and broke original techniques to discover new Groebner bases. As a result, we succeeded in developing remarkably the algebraic combinatorics on convex polytopes as well as the theory of monomial ideals in commutative algebra. Especially, new classes of Gorenstein Fano polytopes were created, and the regularity of edge ideals of finite graphs was deeply studied. Furthermore, the concept of binomial edge ideals of finite graphs was introduced and its fundamental theory was established.
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