| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We study the F-splitting of smooth del Pezzo surfaces defined over an algebraically closed field in positive characteristic. We investigate del Pezzo surfaces of degree 2, and gives characterizations of non-F-split del Pezzo surfaces, which exist only in characteristic 2 or 3. In particular, we show that non-F-split del Pezzo surfaces of degree 2 are uniquely determined if the characteristic is 3. Moreover, we determine completely the configuration of 7 points on the projective plane, which are the center of the blow-ups to obtain the non-F-split del Pezzo surface of degree 2 in characteristic 3.
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