| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2018: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
For a connected smooth projective curve X of genus g, global sections of any line bundle L with degree at least 2g + 1 give an embedding of the curve into projective space. With Kazuhiko Yamaki, we consider an analogous statement for a Berkovich skeleton in nonarchimedean geometry from the viewpoint of faithful tropicalizations. We also consider a higher dimensional case using adjoint line bundles. With Liang-Chung Hsia, we study arithmetic properties of a one-parameter family of Henon maps. We study inverse degrees of quadratic triangular maps on affine space defined over Q-algebras. With Shigeru Mukai and Ken-Ichi Yoshikawa, we study relationship between the difference of elliptic j-functions and the Borcherds Phi funciton.
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