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: Fukushima University
• 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
• 起止时间: 2009 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-21540205/
• 关键词: 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

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.

我们研究了 Nevanlinna 缺陷作为光滑复射影代数簇中线性系统上的函数的性质。我们给出了不足因数集合的结构定理。该结构定理得出缺乏值的集合至多是可数的。此外，我们还有缺陷和线性系统之间的对应关系。

项目成果

Indefinite K\ahler metrics of constant scalar curvatureon Hirzebruch surfaces, Bull

Hirzebruch 曲面上恒定标量曲率的不定 Kahler 度量，Bull

• 发表时间: 2009
• 期刊: London Math. Soc
• 作者: Toru Yanagawa;Shizuo Nakane;et.al.;Shizuo Nakane;Shizuo Nakane;Hiroyoshi Sasaki;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;中根静男;相原義弘;相原義弘;北川義久and梅原;厚地淳;厚地淳;厚地淳;相原義弘;鎌田博行
• 通讯作者: 鎌田博行

Deficiencies of holomorphic curves in projective varieties

射影簇全纯曲线的缺陷

• 发表时间: 2010
• 作者: Miyoshi T;Maruhashi M;Van De Putte T;Kondoh H;Huylebroeck D;Higashi Y.;相原義弘
• 通讯作者: 相原義弘

Deficient divisors of holomorphic curve

全纯曲线的缺因子

• 发表时间: 2011
• 作者: Toru Yanagawa;Shizuo Nakane;et.al.;Shizuo Nakane;Shizuo Nakane;Hiroyoshi Sasaki;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;中根静男;相原義弘;相原義弘;北川義久and梅原;厚地淳;厚地淳;厚地淳;相原義弘;鎌田博行;相原義弘;厚地淳;相原義弘
• 通讯作者: 相原義弘

(ア) Remarks on value distribution of leafwise meromorphic functions

(a) 叶向亚纯函数值分布备注

• 发表时间: 2011
• 作者: Toru Yanagawa;Shizuo Nakane;et.al.;Shizuo Nakane;Shizuo Nakane;Hiroyoshi Sasaki;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;中根静男;相原義弘;相原義弘;北川義久and梅原;厚地淳;厚地淳;厚地淳;相原義弘;鎌田博行;相原義弘;厚地淳;相原義弘;相原義弘;厚地淳
• 通讯作者: 厚地淳

Extrinsic diameter of immersed flat tori in S^3 Geometriae Dedicata

S^3 Geometriae Dedicata 中浸没的扁平环面的外径

• 发表时间: 2011
• 作者: Toru Yanagawa;Shizuo Nakane;et.al.;Shizuo Nakane;Shizuo Nakane;Hiroyoshi Sasaki;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;Shizuo Nakane;中根静男;相原義弘;相原義弘;北川義久and梅原
• 通讯作者: 北川義久and梅原