A uniqueness theorem for meromorphic mappings in several complex variables

Zhihua Chen , Qiming Yan

Front. Math. China ›› 2012, Vol. 7 ›› Issue (4) : 669 -677.

PDF (133KB)
Front. Math. China ›› 2012, Vol. 7 ›› Issue (4) : 669 -677. DOI: 10.1007/s11464-012-0178-5
Research Article
RESEARCH ARTICLE

A uniqueness theorem for meromorphic mappings in several complex variables

Author information +
History +
PDF (133KB)

Abstract

In this paper, we give a uniqueness theorem for meromorphic mappings from ℂn into ℙN(ℂ) with rank ⩽ µ regardless of multiplicities.

Keywords

Value distribution theory / uniqueness theorem / meromorphic mapping

Cite this article

Download citation ▾
Zhihua Chen, Qiming Yan. A uniqueness theorem for meromorphic mappings in several complex variables. Front. Math. China, 2012, 7(4): 669-677 DOI:10.1007/s11464-012-0178-5

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Aihara Y. Unicity theorems for meromorphic mappings with deficiencies. Complex Var, 2000, 42: 259-268

[2]

Chen Z., Yan Q. Uniqueness theorem of meromorphic mappings into ℙN(ℂ) sharing 2N + 3 hyperplanes regardless of multiplicities. Internat J Math, 2009, 20: 717-726

[3]

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

[4]

Noguchi J. Noguchi J. On Nevanlinna’s second main theorem. Proc Geometric Complex Analysis, Hayama, 1995, 1996, Singapore: World Scientific, 489-503

[5]

Smiley L. Geometric conditions for unicity of holomorphic curves. Contemp Math, 1983, 25: 149-154

AI Summary AI Mindmap
PDF (133KB)

763

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/