Non-integrated defect relation for meromorphic mappings on Kahler manifolds intersecting non-subdegenerate families of hyperplanes

被引：0

作者：

Quang, Si Duc ^{[1
,2
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, 136 Xuan Thuy, Hanoi, Vietnam

[2] Thang Long Inst Math & Appl Sci, Hanoi, Vietnam

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 493卷 / 02期

关键词：

Non-subdegenerate; Hyperplane; Kahler manifold; Non-integrated defect; MAPS;

D O I：

10.1016/j.jmaa.2020.124542

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be a complete Kahler manifold, whose universal covering is biholomorphic to a ball B-m(R-0) in C-m (0 < R-0 <= +infinity). Our purpose of this article is to establish a non-integrated defect relation with truncated level for a meromorphic mapping on M intersecting a family of hyperplanes in P-n(C) which is non-subdegenerate with respect to the mapping. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：15

共 14 条

[1] Non-integrated defect relation and uniqueness theorem for meromorphic mappings on Kahler manifolds
Si Duc Quang
Tran Duc Ngoc
INTERNATIONAL JOURNAL OF MATHEMATICS, 2022, 33 (03)
[2] NON-INTEGRATED DEFECT RELATION FOR MEROMORPHIC MAPS OF COMPLETE KAHLER MANIFOLDS INTO Pn (C) INTERSECTING HYPERSURFACES
Ru, Min
Sogome, Suraizou
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (03) : 1145 - 1162
[3] Non-integrated defect of meromorphic maps on Kahler manifolds
Do Duc Thai
Si Duc Quang
MATHEMATISCHE ZEITSCHRIFT, 2019, 292 (1-2) : 211 - 229
[4] A non-integrated defect relation for meromorphic maps of complete Kahler manifolds into a projective variety intersecting hypersurfaces
Iran Van Tan
Vu Van Truong
BULLETIN DES SCIENCES MATHEMATIQUES, 2012, 136 (01): : 111 - 126
[5] Schmidt's subspace theorem for non-subdegenerate families of hyperplanes
Duc Hiep Pham
INTERNATIONAL JOURNAL OF NUMBER THEORY, 2022, 18 (03) : 557 - 574
[6] Non-integrated defect relation for meromorphic maps from a Kahler manifold intersecting hypersurfaces in subgeneral of Pn(C)
Si Duc Quang
Nguyen Thi Quynh Phuong
Nguyen Thi Nhung
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 452 (02) : 1434 - 1452
[7] A NON-INTEGRATED HYPERSURFACE DEFECT RELATION FOR MEROMORPHIC MAPS OVER COMPLETE KAHLER MANIFOLDS INTO PROJECTIVE ALGEBRAIC VARIETIES
Chen, Wei
Han, Qi
KODAI MATHEMATICAL JOURNAL, 2018, 41 (02) : 284 - 300
[8] NON-INTEGRATED DEFECT RELATION FOR MEROMORPHIC MAPS FROM KAHLER MANIFOLDS WITH HYPERSURFACES OF A PROJECTIVE VARIETY IN SUBGENERAL POSITION
Si Duc Quang
Le Ngoc Quynh
Nguyen Thi Nhung
TOHOKU MATHEMATICAL JOURNAL, 2021, 73 (02) : 199 - 219
[9] Non-integrated defect of meromorphic maps on Kähler manifolds
Do Duc Thai
Si Duc Quang
Mathematische Zeitschrift, 2019, 292 : 211 - 229
[10] Improvement of non-integrated defect relation for meromorphic maps from Kähler manifolds
Ngoc, Tran Duc
Quang, Si Duc
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2024,

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