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Value distribution theory of meromorphic maps, especially on unicity problems and deficiencies on linear systems

Value distribution theory of meromorphic maps, especially on unicity problems and deficiencies on linear systems
亚纯映射的值分布理论,特别是线性系统的单一性问题和缺陷
批准号:
21540205
负责人:
AIHARA Yoshihiro
金额:
$2.5万
依托单位:
依托单位国家:
日本
项目类别:
Grant-in-Aid for Scientific Research (C)
财政年份:
2009
资助国家:
日本
项目状态:
已结题
起止时间:
2009 至 2011

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中文摘要
翻译
研究了光滑复射影代数变体线性系统上Nevanlinna缺陷作为函数的性质。给出了亏除数集的一个结构定理。这个结构定理证明了亏缺值的集合最多是可数的。此外,我们得到了缺陷与线性系统之间的对应关系。
英文摘要
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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DOI: --
发表时间: 2010
期刊:
影响因子: --
作者: [Miyoshi T, Maruhashi M, Van De Putte T, Kondoh H, Huylebroeck D, Higashi Y., 相原義弘]
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DOI: --
发表时间: 2009
期刊: London Math. Soc
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发表时间: 2010
期刊:
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DOI: --
发表时间: 2011
期刊:
影响因子: --
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通讯作者: 北川義久and梅原
共 24 条
    Value distribution theory
    Value distribution thieory of meromorphic mappings, in particular, uniqueness, degeneracy and normal families of meromorphic mappings
    • 批准号:
      12640198
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $1.98万
    • 财政年份:
      2000
    • 负责人:
      AIHARA Yoshihiro
    • 依托单位:
    On the value distribution of meromorphic mappings (the uniqueness problem and the existence problem of deficient divisors)
    • 批准号:
      10640196
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $1.66万
    • 财政年份:
      1998
    • 负责人:
      AIHARA Yoshihiro
    • 依托单位:
    海外基金