On meromorphically normal families of meromorphic mappings of several complex variables into \(\mathbb P^N(\mathbb C)\). (Q5961149)

The author proves some meromorphic normality criteria for families of meromorphic mappings of a domain \(D\subset\mathbb C^n\) into \(\mathbb P^N(\mathbb C)\), relating to Nochka's Picard type theorems. Corresponding extension theorems, improved normality criteria, and quasi-normality criteria are also obtained. The technique in this paper mainly depends on Stall's normality criteria for families of non-negative divisors on a domain of \(\mathbb C^n\). Many examples are given to illustrate the theory.