2011 Fiscal Year Final Research Report
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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| Keywords | 有理型写像 / 値分布論 / 除外指数 / 一次系 |
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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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