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On Degeneracy of Three Meromorphic Mappings from Complete Kähler Manifolds into Projective Spaces

On Degeneracy of Three Meromorphic Mappings from Complete Kähler Manifolds into Projective Spaces Let M be a complete and connected Kähler manifold whose universal covering is biholomorphic to a ball in $${\mathbb {C}}^m$$ C m . In this article, we investigate algebraic dependence of three meromorphic mappings from M into $${\mathbf {P}}^n({\mathbb {C}})$$ P n ( C ) sharing hyperplanes in subgeneral position. In addition, we study linear degenerates of the map $$f^1\times f^2 \times f^3$$ f 1 × f 2 × f 3 where $$f_1, f_2$$ f 1 , f 2 and $$f_3$$ f 3 are meromorphic mappings of M into $${\mathbf {P}}^n(\mathbb C)\ (n \geqslant 5)$$ P n ( C ) ( n ⩾ 5 ) sharing hyperplanes in subgeneral position with truncated multiplicity. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Computational Methods and Function Theory Springer Journals

On Degeneracy of Three Meromorphic Mappings from Complete Kähler Manifolds into Projective Spaces

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Publisher
Springer Journals
Copyright
Copyright © 2019 by Springer-Verlag GmbH Germany, part of Springer Nature
Subject
Mathematics; Analysis; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
ISSN
1617-9447
eISSN
2195-3724
DOI
10.1007/s40315-019-00284-x
Publisher site
See Article on Publisher Site

Abstract

Let M be a complete and connected Kähler manifold whose universal covering is biholomorphic to a ball in $${\mathbb {C}}^m$$ C m . In this article, we investigate algebraic dependence of three meromorphic mappings from M into $${\mathbf {P}}^n({\mathbb {C}})$$ P n ( C ) sharing hyperplanes in subgeneral position. In addition, we study linear degenerates of the map $$f^1\times f^2 \times f^3$$ f 1 × f 2 × f 3 where $$f_1, f_2$$ f 1 , f 2 and $$f_3$$ f 3 are meromorphic mappings of M into $${\mathbf {P}}^n(\mathbb C)\ (n \geqslant 5)$$ P n ( C ) ( n ⩾ 5 ) sharing hyperplanes in subgeneral position with truncated multiplicity.

Journal

Computational Methods and Function TheorySpringer Journals

Published: Jul 20, 2019

References