| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2020: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2019: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2018: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
Abelian varieties and algebraic curves treated in this research play central roles in algebraic geometry of mathematics and have many applications in other areas. Socially, there are objects (supersingular curves) that will be used in next-generation information technology such as post-quantum cryptography, and we are intensely studying those objects. As research results, we determine specializations of p-divisible groups (which are attached to abelian varieties and algebraic curves) and enumerate superspecial curves (of various types) of low genera and in small characteristics (using PC computations), and show the existence of a superspecial curve of genus 4 in arbitrary characteristic (theoretical result) and so on.
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