RESEARCH ARTICLE

A uniqueness theorem for meromorphic mappings in several complex variables

  • Zhihua CHEN ,
  • Qiming YAN
Expand
  • Department of Mathematics, Tongji University, Shanghai 200092, China

Received date: 28 Aug 2011

Accepted date: 23 Dec 2011

Published date: 01 Aug 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

In this paper, we give a uniqueness theorem for meromorphic mappings from n into N() with rank≥μregardless of multiplicities.

Cite this article

Zhihua CHEN , Qiming YAN . A uniqueness theorem for meromorphic mappings in several complex variables[J]. Frontiers of Mathematics in China, 2012 , 7(4) : 669 -677 . DOI: 10.1007/s11464-012-0178-5

1
Aihara Y. Unicity theorems for meromorphic mappings with deficiencies. Complex Var, 2000, 42: 259-268

DOI

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

DOI

3
Nevanlinna R. Einige eidentigkeitssätze in der theorie der meromorphen funktionen. Acta Math, 1926, 48: 367-391

DOI

4
Noguchi J. On Nevanlinna’s second main theorem. In: Noguchi J, , eds. Proc Geometric Complex Analysis, Hayama, 1995. Singapore: World Scientific, 1996, 489-503

5
Smiley L. Geometric conditions for unicity of holomorphic curves. Contemp Math, 1983, 25: 149-154

DOI

Options
Outlines

/