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Number of rational points of a singular curve
Author(s):
W.
A. Zúñiga
Galindo
Journal:
Proc. Amer. Math. Soc.
126
(1998),
2549-2556.
MSC (1991):
Primary 11G20;
Secondary 14H25
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Abstract:
In this paper, we give a bound for the number of rational points of a complete, geometrically irreducible, algebraic curve defined over a finite field. We compare it with other known bounds and discuss its sharpness. We also show that the asymptotic Drinfeld-Vladut bound can be generalized to the case of singular curves.
References:
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- Drinfeld, V. and Vladut, S., Number of points of an algebraic curve, Func. Anal. Appl., 17, 53-54, (1983). MR 85b:14028
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Additional Information:
W.
A. Zúñiga
Galindo
Affiliation:
Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, CEP 22460-320, Rio de Janeiro-R.J., Brazil
Address at time of publication:
Universidad Autónoma de Bucaramanga, Laboratorio de Computo Especializado, A.A.1642, Bucaramanga, Colombia
Email:
wzuniga@bumanga.unab.edu.co
DOI:
10.1090/S0002-9939-98-04333-0
PII:
S 0002-9939(98)04333-0
Received by editor(s):
October 17, 1995
Received by editor(s) in revised form:
January 31, 1997
Additional Notes:
The author thanks Prof. Karl-Otto Stöhr for many helpful discussions, and the referee for his or her useful comments. Supported by CNPq-Brazil and COLCIENCIAS-Colombia
Communicated by:
William W. Adams
Copyright of article:
Copyright
1998,
American Mathematical Society
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