涉及复代数超曲面的全纯映射正规族（英文）

NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS FROM C^M INTO P^n(C) WITH SOME FIXED 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.

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 pn （C）, the n-dimensional complex projective space, related to some special hypersurfaees.