Science in China Series A: Mathematics

April 2007, Volume 50, Issue 5, pp 683–688 | Cite as

Uniqueness theorem for algebraic curves on compact Riemann surfaces

• Authors
• Authors and affiliations

• Yan Xu
• Min RuEmail author

Article

Received: 04 March 2006

Accepted: 08 January 2007

• 42 Downloads
• 1 Citations

Abstract

In this paper, we prove a uniqueness theorem for algebraic curves from a compact Riemann surface into complex projective spaces.

Keywords

uniqueness theorem algebraic curves Riemann surfaces Nevanlinna theory 

MSC(2000)

32H30 

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References

1. [1]
   Nevalinna R. Einige Eidentigkeitssätze in der Theorie der meromorphen Funktionen. Acta Math, 48: 367–391 (1926)CrossRefMathSciNetGoogle Scholar
2. [2]
   Sauer A. Uniqueness theorems for holomorphic functions on compact Riemann surfaces. New Zealand J Math, 30: 177–181 (2001)MATHMathSciNetGoogle Scholar
3. [3]
   Schweizer A. Shared values of meromorphic functions on compact Riemann surfaces. Arch Math, 84: 71–78 (2005)MATHCrossRefMathSciNetGoogle Scholar
4. [4]
   Griffiths P, Harris J. Principles of Algebraic Geometry. NewYork: Wiley, 1994MATHGoogle Scholar

Copyright information

© Science in China Press 2007

Authors and Affiliations

• Yan Xu
  • 1
• Min Ru
  • 2
  Email author

1. 1.Department of MathematicsNanjing Normal UniversityNanjingChina
2. 2.Department of MathematicsUniversity of HoustonHoustonUSA