Finiteness of meromorphic mappings from a complete Kähler manifold into a projective space-Reference-Cited by-同舟云学术

Finiteness of meromorphic mappings from a complete Kähler manifold into a projective space

Published:2022-07-05 Issue:5 Volume:29 Page:787-803
ISSN:1072-947X
Container-title:Georgian Mathematical Journal
language:en
Short-container-title:

Author:

Thoan Pham Duc¹,Tuyen Nguyen Dang¹,Vangty Noulorvang²

Affiliation:

1. Department of Mathematics , Hanoi University of Civil Engineering , 55 Giai Phong Str. , Hanoi , Vietnam

2. Department of Mathematics , National University of Education , 136-Xuan Thuy Str. , Hanoi , Vietnam

Abstract

Abstract The purpose of this paper is to prove the finiteness theorems for meromorphic mappings of a complete connected Kähler manifold into a projective space sharing few hyperplanes in subgeneral position without counting multiplicity, where all zeros with multiplicities more than a certain number are omitted. Our results are extensions and generalizations of some recent ones.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/gmj-2022-2172/pdf

Reference24 articles.

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5. H. Fujimoto, Nonintegrated defect relation for meromorphic maps of complete Kähler manifolds into P N 1 ⁢ ( C ) × ⋯ × P N k ⁢ ( C ) P^{N_{1}}({\mathbf{C}})\times\cdots\times P^{N_{k}}({\mathbf{C}}) , Japan. J. Math. (N. S.) 11 (1985), no. 2, 233–264.

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