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Unique range sets and uniqueness polynomials for algebraic curves
Author(s):
Ta
Thi Hoai
An;
Julie
Tzu-Yueh
Wang
Journal:
Trans. Amer. Math. Soc.
359
(2007),
937-964.
MSC (2000):
Primary 14H05;
Secondary 30D35, 14H55
Posted:
October 16, 2006
MathSciNet review:
2262838
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References |
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Additional information
Abstract:
We study unique range sets and uniqueness polynomials for algebraic functions on a smooth projective algebraic curve over an algebraically closed field of characteristic zero.
References:
-
- 1.
- T. T. H. AN AND J. T.-Y. WANG, Uniqueness polynomials for complex meromorphic functions, Inter. J. Math. 13 No. 10 (2002), 1095-1115. MR 1945708 (2003i:30040)
- 2.
- T. T. H. AN AND J. T.-Y. WANG, A note on uniqueness polynomials for complex entire functions, preprint.
- 3.
- T. T. H. AN, J. T.-Y. WANG, AND P.-M. WONG, Strong uniqueness polynomials: the complex case, Journal of Complex Variables and its Application 49 No. 1 (2004), 25-54. MR 2031025 (2004j:30054)
- 4.
- T. T. H. AN, J. T.-Y. WANG, AND P.-M. WONG, Unique range sets and uniqueness polynomials in positive characteristic II, Acta Arith. 116 (2005), 115-143. MR 2110391 (2005k:12002)
- 5.
- R. M. AVANZI AND U. M. ZANNIER, The equation
 in rational functions  ,  , Compositio Math. 139 (2003), 263-295. MR 2041613 (2004m:14057) - 6.
- W. CHERRY AND J. T.-Y. WANG, Uniqueness polynomials for entire functions, Inter. J. Math 13 No. 3 (2002), 323-332. MR 1911106 (2003d:30033)
- 7.
- G. FALTINGS, Endlichkeitssatze für abelsche Varietäten über Zahlkörpern, Invent. Math. 73 (1983), 349-366. MR 0718935 (85g:11026a)
- 8.
- H. FUJIMOTO, On uniqueness of meromorphic functions sharing finite sets, Amer. J. Math. 122 (2000), 1175-1203. MR 1797660 (2001k:30040)
- 9.
- F. GROSS, Factorization of meromorphic functions and some open problems in complex analysis, Proc. Conf. Univ. Kentucky, Lexington, KY, 1976, Lecture Notes in Math. 599, Springer-Verlag, 1977. MR 0450529 (56:8823)
- 10.
- G. GUNDERSEN, Meromorphic functions sharing four values, Trans. Amer. Math. Soc. 277 (1983), 545-567. MR 0694375 (84g:30028)
- 11.
- A. SAUER, Uniqueness theorems for holomorphic functions on compact Riemann surfaces, New Zealand J. Math. 30 (2001), 177-181. MR 1877545 (2002k:30078)
- 12.
- A. SCHWEIZER, Shared values of meromorphic functions on compact Riemann surfaces, Arch. Math. (Basel) 84 (2005), 71-78. MR 2106406 (2005k:30063)
- 13.
- J. T.-Y. WANG, Uniqueness polynomials and bi-unique range sets for rational functions and non-Archimedean meromorphic functions, Acta Arith. 104 (2002), 183-200. MR 1914252 (2003h:12002)
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Additional Information:
Ta
Thi Hoai
An
Affiliation:
Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, R.O.C.
Address at time of publication:
Institute of Mathematics, 18 Hoang Quoc Viet Road, Cau Giay District, 10307 Hanoi, Vietnam
Email:
antu_inp@yahoo.fr
Julie
Tzu-Yueh
Wang
Affiliation:
Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529, Taiwan, R.O.C.
Email:
jwang@math.sinica.edu.tw
DOI:
10.1090/S0002-9947-06-04018-9
PII:
S 0002-9947(06)04018-9
Received by editor(s):
September 4, 2004
Posted:
October 16, 2006
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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