| Budget Amount *help |
¥11,570,000 (Direct Cost: ¥8,900,000、Indirect Cost: ¥2,670,000)
Fiscal Year 2022: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2021: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2020: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2019: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2018: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
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| Outline of Final Research Achievements |
To an algebraic variety defined over a complete non-Archimedean value field, one can attach an analytic space in the sense of Berkovich. Fixing a model over the valuation ring, this analytic space contains a polyhedral complex, called the skeleton associated with the model, which preserves important information about the original variety. With Kazuhiko Yamaki, we have studied faithful tropicalizations associated to the linear system of a divisor. The published papers treat the case of curves and adjoint bundles on smooth projective varieties. In this direction, we study the cases of tropical toric varieties and tropical abelian varieties. In algebraic/arithmetic dynamics, with Liang-Chung Hsia, we study when two sections of a one-parameter family of Henon maps have infinitely many points over which the sections give periodic points. With Shigeru Mukai and Ken-Ichi Yoshikawa, we study explicit relations of the difference of elliptic j-functions and Borcherd's Phi function.
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