Uniqueness theorems for meromorphic mappings in several complex variables into P N(ℂ) with two families of moving targets

Zhonghua Wang , Zhenhan Tu

Chinese Annals of Mathematics, Series B ›› 2013, Vol. 34 ›› Issue (5) : 719 -732.

PDF
Chinese Annals of Mathematics, Series B ›› 2013, Vol. 34 ›› Issue (5) : 719 -732. DOI: 10.1007/s11401-013-0791-y
Article

Uniqueness theorems for meromorphic mappings in several complex variables into P N(ℂ) with two families of moving targets

Author information +
History +
PDF

Abstract

The authors prove some uniqueness theorems for meromorphic mappings in several complex variables into the complex projective space P N(ℂ) with two families of moving targets, and the results obtained improve some earlier work.

Keywords

Meromorphic mapping / Moving target / Uniqueness theorem / Value distribution theory

Cite this article

Download citation ▾
Zhonghua Wang, Zhenhan Tu. Uniqueness theorems for meromorphic mappings in several complex variables into P N(ℂ) with two families of moving targets. Chinese Annals of Mathematics, Series B, 2013, 34(5): 719-732 DOI:10.1007/s11401-013-0791-y

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Chen Z H, Yan Q M. Uniqueness theorem of meromorphic mapping into P N (ℂ) sharing 2N + 3 hyperplanes regardless of multiplicities. Intern. J. Math., 2009, 20(6): 717-726

[2]

Dethloff G, Quang S D, Tan T V. A uniqueness theorem for meromorphic mappings with two families of hyperplanes. Proc. Amer. Math. Soc., 2012, 140(1): 189-197

[3]

Fujimoto H. The uniqueness problem of meromorphic maps into the complex projective space. Nagoya Math. J., 1975, 58: 1-23

[4]

Nevanlinna R. Einige eindeutigkeitssätze in der theorie der meromorphen funktionen. Acta. Math., 1926, 48: 367-391

[5]

Noguchi J, Ochiai T. Geometric function theory in several complex variables, 1990, Providence, Rhode Island: Amer. Math. Soc.

[6]

Ru M. Nevanlinna Theory and Its Relation to Diophantine Approximation, 2001, Singapore: World Science Pub.

[7]

Ru M. A uniqueness theorem with moving targets without counting multiplicity. Proc. Amer. Math. Soc., 2001, 129(9): 2701-2707

[8]

Ru M, Stoll W. The second main theorem for moving targets. J. Geom. Anal., 1991, 1: 99-138

[9]

Ru M, Stoll W. The Cartan conjecture for moving targets. Proc. Sympos. Pure Math., 1991, 52(2): 477-508

[10]

Thai D D, Quang S D. Uniqueness problem with truncated multiplicities of meromorphic mappings in several complex variables for moving targets. Intern. J. Math., 2005, 16(8): 903-939

[11]

Tu Z H. Uniqueness problem of meromorphic mappings in several complex variables for moving targets. Tohoku Math. J., 2002, 54(6): 567-579

[12]

Ye Z. A unicity theorem for meromorphic mappings. Houston J. Math., 1998, 24: 519-531

AI Summary AI Mindmap
PDF

174

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/