| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
In the 19th century, Gauss, Abel and Jacobi constructed the theory of elliptic curves and their moduli. It had a big influence in mathematics of 20th century. At present, it is developed to the higher dimensional analogues. The K3 surface is the 2-dimensional analogue of the elliptic curve.
On the other hand, Hilbert proposed his 12th problem in 1901, it was an important proposal in number theory. In 1960's, Shimura gave a big contribution for this problem. But the Hilbert 12th problem iself is still open. In our research project, we could give a visualization of Shimura's theory and constructed a series of explicit examples.
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