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A uniqueness theorem with moving targets without counting multiplicity
Author(s):
Min
Ru
Journal:
Proc. Amer. Math. Soc.
129
(2001),
2701-2707.
MSC (2000):
Primary 32H30
Posted:
February 9, 2001
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Abstract:
In this paper, we prove a uniqueness theorem for holomorphic curves with moving targets without counting multiplicity.
References:
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- [F]
- Fujimoto, H.: The uniqueness problem of meromorphic maps into the complex projective space. Nogoya Math. J. 58, 1-23, 1975. MR 52:14395
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- Ji, S.: Uniqueness problem without multiplicities in value distribution theory. Pacific J. of Math., 135, 323-348, 1988. MR 90b:32050
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- Mori, S.: Remarks on holomorphic mappings. Comtempory Math., 25, 101-114, 1983. MR 85k:32045
- [Ne]
- Nevanlinna, R.: Einige Eindeutigkeitssätze in der Theorie der meromorphen Funketionen. Acta. Math., 48, 367-391, 1926.
- [RS]
- Ru, Min and Stoll, W.: The second main theorem for moving targets. J. Geometric Analysis, 1, 99-138, 1991. MR 92j:32098
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- Ru, Min and Wang, J.: A second main type inequality for holomorphic curves intersecting hyperplanes. To appear.
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- Smiley, L.: Dependence theorems for meromorphic maps. Notre Dame Thesis, 1979.
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- Stoll, W.: On the propagation of dependences. Pacific J. of Math., 139, 311-337, 1989. MR 91a:32037
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- Zhang, Q.:An uniqueness theorem for meromorphic functions with small growth functions. Acta Mathematica Sinica, 636, 827-833, 1993.
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Additional Information:
Min
Ru
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204
Email:
minru@math.uh.edu
DOI:
10.1090/S0002-9939-01-06040-3
PII:
S 0002-9939(01)06040-3
Received by editor(s):
January 18, 2000
Posted:
February 9, 2001
Additional Notes:
The author is supported in part by NSF grant DMS-9800361 and by NSA grant MDA904-99-1-0034
Communicated by:
Steven R. Bell
Copyright of article:
Copyright
2001,
American Mathematical Society
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