| Budget Amount *help |
¥9,750,000 (Direct Cost: ¥7,500,000、Indirect Cost: ¥2,250,000)
Fiscal Year 2019: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2016: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
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| Outline of Final Research Achievements |
I worked on several problems of noncommutative algebraic geometry (= a field where people study abelian or enhanced triangulated categories as geometric objects generalizing the category of coherent sheaves). We, Among others, I. proved that the moduli space classifying semiorthogonal decompositions of the derived category of coherent sheaves is an etale algebraic space; II. defined and confirmed the basics of the minimal model theory for b-boundary divisors; III. proved that the moduli stack of stable pointed curves are (almost) always rigid in the noncommutative sense; IV. gave general definition of noncommutative del Pezzo surfaces; V. proposed a few hypotheses concerning the relationship between derived equivalence of algebraic varieties and the additive invariants. We also found a few interesting examples.
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