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Referencias:

• Almeida, M., (1995) Función de Hilbert de Álgebras Graduadas y Nullstellensatz Afín Efectivo, , Tesis de Licenciatura, Univ. Buenos Aires
• Amoroso, F., On a conjecture of C. Berenstein and A. Yger (1996) Algorithms in Algebraic Geometry and Applications, Progress in Math., 143, pp. 17-28. , L. González-Vega and T. Recìo, eds. Birkhäuser, Basel
• Berenstein, C., Struppa, D., Recent improvements in the complexity of the effective Nullstellensatz (1991) Linear Algebra Appl., 157, pp. 203-215
• Berenstein, C., Yger, A., Bounds for the degrees in the division problem (1990) Mich. Math. J., 37, pp. 25-43
• Bertrand, D., Lemmes des zéros et nombres trascendants (1987) Soc. Math. France, , Sém. Bourbaki 652, Astérisque 145-146, 21-44
• Bigatti, A., Geramita, A., Migliore, J., Geometric consequences of extremal behavior in a theorem of Macaulay (1994) Trans. Amer. Math. Soc., 346, pp. 203-235
• Brownawell, D., Bounds for the degrees in the Nullstellensatz (1987) Ann. Math., 126, pp. 577-591
• Caniglia, L., Galligo, A., Heintz, J., Some new effectivity bounds in computational geometry (1989) Proc. 6th Int. Conf. AAECC, Lect. Notes in Comput. Sci., 357, pp. 131-151. , T. Mora, ed. Springer, Berlin
• Caniglia, L., Galligo, A., Heintz, J., Equations for the projective closure and effective Nullstellensatz (1991) Discrete Appl. Math., 33, pp. 11-23
• Chardin, M., Une majoration pour la fonction de Hilbert et ses conséquences pour l'interpolation algébrique (1989) Bull. Soc. Math. France, 117, pp. 305-318
• Dubé, T., A Combinatorial proof of the effective Nullestellensatz (1993) J. Symbolic Comp., 15, pp. 277-296
• Fitchas, N., Galligo, A., Nullstellensatz effectif et conjecture de Sèrre (théorème de Quillen-Suslin) pour le Calcul Formel (1990) Math. Nachr., 149, pp. 231-253
• Fulton, W., Intersection theory (1984) Erg. Math.; 3. Folge., 2. Bd., , Springer, Berlin
• Giusti, M., Heintz, J., Hägele, K., Montaña, J., Morais, J., Pardo, L., Lower bounds for diophantine approximation (1997) J. Pure Appl. Algebra, 117-118, pp. 277-317
• Giusti, M., Heintz, J., Morais, J., Morgenstern, J., Pardo, L., Straight-line programs in geometric elimination theory, to appear J. Pure Appl. Algebra
• Green, M., Restrictions of linear series to hyperplanes, and some results of Macaulay and Gotzmann (1989) Algebraic Curves and Projective Geometry, Proc. Trento, 1988, Lect. Notes in Math., 1389, pp. 76-86. , E. Ballico and C. Ciliberto, eds. Springer, Berlin
• Harris, J., (1992) Algebraic Geometry: A First Course, Graduate Texts in Math., 133. , Springer, Berlin
• Hartshorne, R., (1977) Algebraic Geometry, Graduate Texts in Math., 52. , Springer, Berlin
• Heintz, J., Definability and fast quantifier elimination in algebraically closed fields (1983) Theoret. Comput. Sci., 24, pp. 239-277
• Heintz, J., Sieveking, M., Lower bounds for polynomials with algebraic coefficients (1980) Theoret. Comput. Sci., 11, pp. 321-330
• Jouanolou, J.-P., Théorèmes de Bertini et applications (1983) Progress in Math., 42. , Birkhäuser, Basel
• Kollár, J., Sharp effective Nullstellensatz (1988) J. Amer. Math. Soc., 1, pp. 963-975
• Krick, T., Pardo, L.M., A Computational method for diophantine approximation (1996) Algorithms in Algebraic Geometry and Applications, Progress in Math., 143, pp. 193-254. , L. González-Vega and T. Recio, eds. Birkhäuser, Basel
• Krick, T., Sabia, J., Solernó, P., On intrinsic bounds in the Nullstellensatz AAECC J.
• Lang, S., (1970) Algebraic Number Theory, , Addison-Wesley, Reading, MA
• Lazard, D., Algèbre linéaire sur k[x1, . . ., xn] et élimination (1977) Bull. Soc. Math. France, 105, pp. 165-190
• Matsumura, H., (1986) Commutative Ring Theory, , Cambridge Univ. Press, Cambridge
• Nesterenko, Y., Estimates for the characteristic function of a prime ideal (1985) Math. URSS Sbornik, 51, pp. 9-32
• Philippon, P., Dénominateurs dans le théorème des zeros de Hilbert (1990) Acta Arith., 58, pp. 1-25
• Sabia, J., Solernó, P., Bounds for traces in complete intersections and degrees in the Nullstellensatz (1995) AAECC J., 6, pp. 353-376
• Shiffman, B., Degree bounds for the division problem in polynomial ideals (1989) Mich. Math. J., 36, pp. 163-171
• Sombra, M., Bounds for the Hilbert function of polynomial ideals (1996) Impresiones Previas, 91. , Univ. Buenos Aires
• Teissier, B., Résultats récents d'algèbre commutative effective (1991) Soc. Math. France, , Sém. Bourbaki 718, Astérisque 189-190, 107-131
• Vogel, W., (1984) Lectures on Results on Bézout's Theorem, Tata Lecture Notes, 74. , Springer, Berlin
• Zariski, O., Samuel, P., (1958) Commutative Algebra, , Van Nostrand, New York

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