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Truncated second main theorem with moving targets
Author(s):
Min
Ru;
Julie
Tzu-Yueh
Wang
Journal:
Trans. Amer. Math. Soc.
356
(2004),
557-571.
MSC (2000):
Primary 32H25, 32Q45
Posted:
September 22, 2003
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Abstract:
We prove a truncated Second Main Theorem for holomorphic curves intersecting a finite set of moving or fixed hyperplanes. The set of hyperplanes is assumed to be non-degenerate. Previously only general position or subgeneral position was considered.
References:
-
- [B-M]
- Brownawell, W.D. and Masser, D.W.: Vanishing sums in function fields. Math. Proc. Comb. Phil. Soc. 100, 427-434 (1986). MR 87k:11080
- [Bu]
- Buium, A.: The abc theorem for abelian varieties. International Math. Research Notices 5, 219-233 (1994). MR 95c:11074
- [L]
- Lang, S.: Introduction to complex hyperbolic spaces. New York Berlin Heidelberg: Springer 1987. MR 88f:32065
- [Ru1]
- Ru, M.: Geometric and arithmetic aspects of
 minus hyperplanes. American Journal of Mathematics, 117, 307-321 (1995). MR 97c:32031 - [Ru2]
- Ru, M.: A uniqueness theorem for moving targets without counting multiplicities. Proc. Amer. Math. Soc., 129, 2701-2707 (2000). MR 2002e:32024
- [Ru3]
- Ru, M.: Nevanlinna theory and its relation to Diophantine approximation. River Edge, New Jersey: World Scientific Pub., (2001). MR 2002g:11106
- [R-S1]
- Ru, M. and Stoll, W.: The second main theorem for moving targets. J. Geom. Anal. 1, 99-138 (1991). MR 92j:32098
- [R-S2]
- Ru, M. and Stoll, W.: The Cartan conjecture for moving targets. In: Several Complex Variables and Complex Geometry, Part 2 (Proc. Sympos. Pure Math., vol. 52, pp. 99-138) Providence, Rhode Island: Amer. Math. Soc. 1991. MR 93f:32028
- [S]
- Steinmetz, N.: Eine Verallgemeinerung des zweiten Nevanlinnaschen Hauptsatzes. J. Reine Angew. Mathematik 368, 134-141 (1985). MR 87i:30056
- [W]
- Wang, J. T-Y.: abc estimate, integral points, and geometry of
 minus hyperplanes. Mathematical Research Letters 6, 357-370 (1999). MR 2000j:11114
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Additional Information:
Min
Ru
Affiliation:
Department of Mathematics, University of Houston, Houston, Texas 77204
Email:
minru@math.uh.edu
Julie
Tzu-Yueh
Wang
Affiliation:
Institute of Mathematics, Academia Sinica, Nankang, Taipei 11529 Taiwan, Republic of China
Email:
jwang@math.sinica.edu.tw
DOI:
10.1090/S0002-9947-03-03453-6
PII:
S 0002-9947(03)03453-6
Received by editor(s):
January 17, 2001
Received by editor(s) in revised form:
February 11, 2002
Posted:
September 22, 2003
Additional Notes:
The first author was supported in part by NSF grant DMS-9800361 and by NSA under grant number MDA904-01-1-0051, MSPF-02G-175
The second author was supported in part by a NSC grant of Taiwan
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2003,
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