Extension and normality of meromorphic mappings into complex projective varieties

Si Duc Quang

Annales Polonici Mathematici (2012)

  • Volume: 104, Issue: 3, page 279-292
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Si Duc Quang. "Extension and normality of meromorphic mappings into complex projective varieties." Annales Polonici Mathematici 104.3 (2012): 279-292. <http://eudml.org/doc/280506>.

@article{SiDucQuang2012,
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.},
author = {Si Duc Quang},
journal = {Annales Polonici Mathematici},
keywords = {meromorphic mapping; abelian variety; complex projective variety; normal family; extension},
language = {eng},
number = {3},
pages = {279-292},
title = {Extension and normality of meromorphic mappings into complex projective varieties},
url = {http://eudml.org/doc/280506},
volume = {104},
year = {2012},
}

TY - JOUR
AU - Si Duc Quang
TI - Extension and normality of meromorphic mappings into complex projective varieties
JO - Annales Polonici Mathematici
PY - 2012
VL - 104
IS - 3
SP - 279
EP - 292
AB - 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.
LA - eng
KW - meromorphic mapping; abelian variety; complex projective variety; normal family; extension
UR - http://eudml.org/doc/280506
ER -

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