| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2019: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
Basic facts such as the formulation by pointed monoids for toric tropical manifolds are summarized, and F1-algebras and unipotent commutative semirings in algebraic geometry are discussed with an awareness of the relation to ordered additive groups, and further research is conducted for future applications to singularity theory. The connection with the results of Shustin et al. on the tropicalization of hypersurface families of fixed Newtonian polyhedra is investigated. For applications to scheduling problems, we continued our research on extracting information on the original network structure from tropical polynomials. Assisted in organizing a meeting in this field by young researchers.
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