Uniqueness of meromorphic mappings

  • Pei-Chu Hu
  • Ping Li
  • Chung-Chun Yang
Part of the Advances in Complex Analysis and its Applications book series (ACAA, volume 1)

Abstract

In this chapter, we will introduce some well-known uniqueness theorems of meromorphic mappings between complex manifolds. Basic methods are more general value distribution theory, which will be introduced in Section 4.1–4.3. In Section 4.4 and Section 4.5, we mainly discuss the uniqueness theorems of meromorphic mappings from ℂ m into ℙ n due to H. Fujimoto [59], [60], [61]. In Section 4.6, two results due to Drouilhet [42] and Aihara [2] will be proved. Finally, we show dependence theorems and propagation theorems of meromorphic mappings due to H. Fujimoto [61], III, Ji [136], Stoll [247] and Smiley [229].

Keywords

Line Bundle General Position Meromorphic Mapping Complex Manifold Special Position 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • Pei-Chu Hu
    • 1
  • Ping Li
    • 2
  • Chung-Chun Yang
    • 3
  1. 1.Department of MathematicsShandong UniversityJinan, ShandongChina
  2. 2.Department of MathematicsUniversity of Science and Technology of ChinaHefei, AnhuiChina
  3. 3.Department of MathematicsThe Hong Kong University of Science and TechnologyHong KongChina

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