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Uniqueness problem for meromorphic mappings with truncated multiplicities and few targets

Gerd Dethloff, Tran Van Tan (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

In this paper, using techniques of value distribution theory, we give a uniqueness theorem for meromorphic mappings of m into P n with truncated multiplicities and “few" targets. We also give a theorem of linear degeneration for such maps with truncated multiplicities and moving targets.

Weak normal and quasinormal families of holomorphic curves

Si Duc Quang, Dau Hong Quan (2018)

Archivum Mathematicum

In this paper we introduce the notion of weak normal and quasinormal families of holomorphic curves from a domain in into projective spaces. We will prove some criteria for the weak normality and quasinormality of at most a certain order for such families of holomorphic curves.

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