Extension and normality of meromorphic mappings into complex projective varieties
Volume 104 / 2012
Annales Polonici Mathematici 104 (2012), 279-292
MSC: Primary 32H04, 32A22; Secondary 32H19, 30D35.
DOI: 10.4064/ap104-3-5
Abstract
The purpose of this article is twofold. The first is to show a criterion for the normality of holomorphic mappings into Abelian varieties; an extension theorem for such mappings is also given. The second is to study the convergence of meromorphic mappings into complex projective varieties. We introduce the concept of $d$-convergence and give a criterion of $d$-normality of families of meromorphic mappings.
