| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2019: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2018: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
The results in this project are mainly the following four: 1. First, I completed the class theory on open curves over local fields (which may has positive characteristic). 2. The lower bound of the class number associated with an elliptic curve over a number field is given by the rank of the Mordell-Weil group of the elliptic curve. 3. For a curve over a p-adic field, when the associated Jacobian variety has a good ordinary reduction, we obtain an explicit computation of the "class group" of the curve. 4. We discussed conditions under which the Somekawa K-group associated with two elliptic curves on a p-adic field becomes p-divisible.
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