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(133 KB)
PDF(133 KB)
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 +

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 https://doi.org/10.1007/s11464-012-0178-5

References

[1.]
Aihara Y. Unicity theorems for meromorphic mappings with deficiencies. Complex Var, 2000, 42: 259-268
CrossRef Google scholar
[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
CrossRef Google scholar
[3.]
Nevanlinna R. Einige eidentigkeitssätze in der theorie der meromorphen funktionen. Acta Math, 1926, 48: 367-391
CrossRef Google scholar
[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
CrossRef Google scholar
AI Summary AI Mindmap
PDF(133 KB)

Accesses

Citations

Detail

Sections
Recommended

/