| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2020: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
We studied various properties about Fano varieties over an algebraic closed field in positive characteristic to have the following result:
1. We investigated non-F-split del Pezzo surfaces of degree 1. Especially, we showed that such surfaces are unique up to isomorphisms if the characteristic of the grould field is 5, and its automorphism group is related to the fact that the symmetric group of degree 6 has an outer automorphism.
2. We solved an open problem on the multicanonical system of quasi-elliptic surfaces with Kodaira dimension 1 in characteristic 2. Also, we analyzed the structure of Mordell-Weil group of quasi-elliptic K3 surfaces which has twenty reducible fibers of type III in characteristic 2, to construct a 20-dimensional linear code.
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