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Documento: Artículo
Título:An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field
Autor:Cafure, A.; Matera, G.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Instituto de Desarrollo Humano, Universidad Nacional de General Sarmiento, J. M. Gutiérrez 1150, 1613 Los Polvorines, Buenos Aires, Argentina
National Council of Science and Technology (CONICET), Argentina
Palabras clave:Normal complete intersection; Rational points; Second Bertini theorem; Varieties over finite fields
Año:2007
Volumen:130
Número:1
Página de inicio:19
Página de fin:35
DOI: http://dx.doi.org/10.4064/aa130-1-2
Título revista:Acta Arithmetica
Título revista abreviado:Acta Arith.
ISSN:00651036
PDF:https://bibliotecadigital.exactas.uba.ar/download/paper/paper_00651036_v130_n1_p19_Cafure.pdf
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00651036_v130_n1_p19_Cafure

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  • Cafure, A., Matera, G., Improved explicit estimates on the number of solutions of equations over a finite field (2006) Finite Fields Appl, 12, pp. 155-185
  • Caniglia, L., Galligo, A., Heintz, J., Equations for the projective closure and effective Nullstellensatz (1991) Discrete Appl. Math, 33, pp. 11-23
  • Catanese, F., Chow varieties, Hilbert schemes, and moduli spaces of surfaces of general type (1992) J. Algebraic Geom, 1, pp. 561-595
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  • __, __, Number of solutions of equations over finite fields and a conjecture of Lang and Weil, in: A. K. Agarwal et al. (eds.), Number Theory and Discrete Mathematics (Chandigarh, 2000), Hindustan Book Agency, New Delhi, 2002, 269-291; Heintz, J., Definability and fast quantifier elimination in algebraically closed fields (1983) Theoret. Comput. Sci, 24, pp. 239-277
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  • Joly, J.-R., Équations et variétés algébriques sur un corps fini (1973) Enseign. Math, 19, pp. 1-117
  • Knapp, M., Artin's conjecture for forms of degree 7 and 11 (2001) J. London Math. Soc. (2), 63, pp. 268-274
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  • Lachaud, G., Number of points of plane sections and linear codes defined on algebraic varieties (1993) Arithmetic, Geometry and Coding Theory, pp. 77-104. , R. Pellikaan et al, eds, Luminy, de Gruyter, Berlin
  • Lang, S., Weil, A., The number of points of varieties in finite fields (1954) Amer. J. Math, 76, pp. 819-827
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  • Matsumura, H., (1980) Commutative Algebra, , Benjamin
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Citas:

---------- APA ----------
Cafure, A. & Matera, G. (2007) . An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field. Acta Arithmetica, 130(1), 19-35.
http://dx.doi.org/10.4064/aa130-1-2
---------- CHICAGO ----------
Cafure, A., Matera, G. "An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field" . Acta Arithmetica 130, no. 1 (2007) : 19-35.
http://dx.doi.org/10.4064/aa130-1-2
---------- MLA ----------
Cafure, A., Matera, G. "An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field" . Acta Arithmetica, vol. 130, no. 1, 2007, pp. 19-35.
http://dx.doi.org/10.4064/aa130-1-2
---------- VANCOUVER ----------
Cafure, A., Matera, G. An effective Bertini theorem and the number of rational points of a normal complete intersection over a finite field. Acta Arith. 2007;130(1):19-35.
http://dx.doi.org/10.4064/aa130-1-2