| Budget Amount *help |
¥12,740,000 (Direct Cost: ¥9,800,000、Indirect Cost: ¥2,940,000)
Fiscal Year 2019: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2017: ¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2016: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2015: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
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| Outline of Final Research Achievements |
Enriques surfaces were found at the end of 19 century, and they are important surfaces which belong to one class in the classification theory of algebraic surfaces. When their automorphism groups are finite, they were classified into 7 types over the complex number field by S. Kondo. G. Martin got a similar classification in characteristic p > 2. In our research, we studied Enriques surfaces with finite automorphism group in characteristic 2, and we showed that in the case of classical Enriques surfaces they are classified into 8 types and in the case of supersingular Enriques surfaces they are classified into 5 types. We also got some new results on the K3 surfaces with 9 cusp singularities, on the Zariski property of supersingular K3 surfaces, and on the fiber structures of the quasi-elliptic surfaces with Kodaira dimension 1.
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