| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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)
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| Outline of Final Research Achievements |
We study property of Nevanlinna's deficiency as functions on linear systems in smooth complex projective algebraic varieties. We first shwo that the values of a deficient functions are detemined by the base locus of linear systems. We gi give a structure theorem for the set of fdeficient dividors. This structuretheoremyields that the set of values of deficiency is at most countable.Moreover, we have acorrespondence between the deficiencies and the linear systems. We also atudy a second main theorem for holomorphic curves, especially the trunation of level of the counting functions.
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