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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-3-5,
author = {Si Duc Quang},
title = {Extension and normality of meromorphic mappings into complex projective varieties},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {279-292},
zbl = {1253.32005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-3-5}
}
Si Duc Quang. Extension and normality of meromorphic mappings into complex projective varieties. Annales Polonici Mathematici, Tome 105 (2012) pp. 279-292. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap104-3-5/