Value distribution theory of meromorphic maps, especially on unicity problems and deficiencies on linear systems
| Project/Area Number |
21540205
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Fukushima University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
KITAGAWA Yoshihisa 宇都宮大学, 教育学部, 教授 (20144917)
ATSUJI Astushi 慶應義塾大学, 経済学部, 教授 (00221044)
KAMADA Hiroyuko 宮城教育大学, 教育学部, 教授 (00249799)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 有理型写像 / 値分布論 / 除外指数 / 一次系 / 正則曲線 / ネヴァンリンナ理論 / 解析的連接イデアル層 / 除外因子 / 第2主要定理 / 射影的代数多様体 / 剰余項 / Nevanlinna理論 / イデアルの連接層 / Croftonの公式 |
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| Research Abstract |
We study property of Nevanlinna' s deficiency as functions on linear systems in smooth complex projective algebraic varieties. We give a structure theorem for the set of deficient divisors. This structure theorem yields that the set of values of deficiency is at most countable. Moreover, we have a correspondence between the deficiencies and the linear systems.
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Report
(4 results)
Research Products
(28 results)
