涉及复代数超曲面的全纯映射正规族

摘要

In this paper, we study the normal families of meromorphic mappings. Applying the heuristic principle in several complex variables obtained by Aladro and Krantz [1] and some Picard theorems given by M. Shirosahi, we shall prove some normality criterias for families of holo-morphic mappings of several complex variables into P n(C), the n-dimensional complex projective space, related to some special hypersurfaces.%本文研究了涉及固定超曲面的全纯映照的正规性问题。利用Aladro 和Krantz对全纯映射族正规性的刻画和Shirosahi建立的一系列涉及一些特殊复代数超曲面的Picard 型定理，得到了全纯映射族的一些正规定则。