| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
There are two main research results. One concerns the geometric Bogomolov conjecture, and the other concerns tropicalizations of Berkovich spaces.
The geometric Bogomolov conjecture is a conjecture about the distribution of small arithmetic complexity among common zeros of several polynomials and was proposed by Bogomolov around 1980. As research results, I proved important result on this conjecture.
Tropicalizations of Berkovich spaces approximately describe the set of common zeros of several power series in terms of linear inequalities. I established, with Shu Kawaguchi, a nontrivial sufficient condition for such descriptions to sufficiently well approximate the original common zeros.
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