Estimaciones para el Teorema de Ceros de Hilbert
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[1] W. Brownawell. Bounds for the degrees in the Nullstellensatz , 1987 .
[2] E. Bombieri. The Mordell conjecture revisited , 1990 .
[3] J. E. Morais,et al. Straight--Line Programs in Geometric Elimination Theory , 1996, alg-geom/9609005.
[4] D. Eisenbud. Commutative Algebra: with a View Toward Algebraic Geometry , 1995 .
[5] Joseph Maurice Rojas,et al. Toric laminations, sparse generalized characteristic polynomials, and a refinement of Hilbert's tenth problem , 1997 .
[6] P. Philippon,et al. Sur des hauteurs alternatives III , 1995 .
[7] J. E. Morais,et al. When Polynomial Equation Systems Can Be "Solved" Fast? , 1995, AAECC.
[8] CARLO TRAVERSO,et al. Hilbert Functions and the Buchberger Algorithm , 1996, J. Symb. Comput..
[9] J. Neukirch. Algebraic Number Theory , 1999 .
[10] John F. Canny,et al. Some algebraic and geometric computations in PSPACE , 1988, STOC '88.
[11] K. Mahler,et al. On Some Inequalities for Polynomials in Several Variables , 1962 .
[12] Grete Hermann,et al. Die Frage der endlich vielen Schritte in der Theorie der Polynomideale , 1926 .
[13] Anna Maria Bigatti,et al. Geometric consequences of extremal behavior in a theorem of Macaulay , 1994 .
[14] Pascal Koiran. Hilbert's Nullstellensatz Is in the Polynomial Hierarchy , 1996, J. Complex..
[15] János Kollár,et al. A global lojasiewicz inequality for algebraic varieties , 1992 .
[16] D. Hilbert,et al. Ueber die vollen Invariantensysteme , 1893 .
[17] Alexander L. Chistov,et al. Polynomial-Time Computation of the Dimension of Algebraic Varieties in Zero-Characteristic , 1996, J. Symb. Comput..
[18] B. Sturmfels. Gröbner bases and convex polytopes , 1995 .
[19] Carlos A. Berenstein,et al. Bounds for the degrees in the division problem. , 1990 .
[20] David Masser,et al. Fields of large transcendence degree generated by values of elliptic functions , 1983 .
[21] Teresa Krick,et al. UNE APPROCHE INFORMATIQUE POUR L'APPROXIMATION DIOPHANTIENNE , 1994 .
[22] Miles Reid,et al. Commutative ring theory: Frontmatter , 1987 .
[23] W. Fulton. Introduction to Toric Varieties. , 1993 .
[24] Teresa Krick,et al. On Intrinsic Bounds in the Nullstellensatz , 1997, Applicable Algebra in Engineering, Communication and Computing.
[25] D. H. Lehmer. Factorization of Certain Cyclotomic Functions , 1933 .
[26] Teresa Krick,et al. A computational method for diophantine approximation , 1996 .
[27] Marc Giusti,et al. Lower bounds for diophantine approximations , 1997 .
[28] I. Shafarevich. Basic algebraic geometry , 1974 .
[29] David Mumford,et al. What Can Be Computed in Algebraic Geometry , 1993, alg-geom/9304003.
[30] Michel Laurent,et al. Hauteur de matrices d'interpolation , 1992 .
[31] Marie-Françoise Roy,et al. Multivariate Bezoutians, Kronecker symbol and Eisenbud-Levine formula , 1996 .
[32] Michael Francis Atiyah,et al. Introduction to commutative algebra , 1969 .
[33] Bernd Sturmfels,et al. A polyhedral method for solving sparse polynomial systems , 1995 .
[34] Ernst W. Mayr,et al. Membership in Plynomial Ideals over Q Is Exponential Space Complete , 1989, STACS.
[35] Marc Giusti,et al. Polar Varieties, Real Equation Solving, and Data Structures: The Hypersurface Case , 1997, J. Complex..
[36] D. N. Bernshtein. The number of roots of a system of equations , 1975 .
[37] Gerd Faltings,et al. Diophantine approximation on abelian varieties , 1991 .
[38] Bernard Shiffman,et al. Degree bounds for the division problem in polynomial ideals. , 1989 .
[39] José Maria Turull Torres,et al. The space complexity of elimination theory: upper bounds , 1997 .
[40] Joe W. Harris,et al. Algebraic Geometry: A First Course , 1995 .
[41] André Galligo,et al. Equations for the projective closure and effective Nullstellensatz , 1991, Discret. Appl. Math..
[42] B. Sturmfels,et al. Bounds on degrees of projective schemes , 1995 .
[43] V. Danilov,et al. THE GEOMETRY OF TORIC VARIETIES , 1978 .
[44] Martin Sombra. Bounds for the Hubert function of polynomial ideals and for the degrees in the Nullstellensatz , 1996 .
[45] Alicia Dickenstein,et al. The membership problem for unmixed polynomial ideals is solvable in single exponential time , 1991, Discret. Appl. Math..
[46] Noaï Fitchas,et al. Nullstellensatz effectif et Conjecture de Serre (Théorème de Quillen‐Suslin) pour le Calcul Formel , 1990 .
[47] J. Verschelde,et al. Homotopies exploiting Newton polytopes for solving sparse polynomial systems , 1994 .
[48] C. Berenstein,et al. Recent improvements in the complexity of the effective Nullstellensatz , 1991 .
[49] David Masser,et al. Multiplicity estimates for analytic functions II , 1980 .
[50] M. Elkadi. Bornes pour les degrés et les hauteurs dans le problème de division. , 1993 .
[51] Shou-wu Zhang. Positive line bundles on arithmetic surfaces , 1992 .
[52] Carlos A. Berenstein,et al. Une formule de Jacobi et ses conséquences , 1991 .
[53] Jean-Benoît Bost,et al. Heights of projective varieties and positive Green forms , 1994 .
[54] Yu. V. Nesterenko,et al. ESTIMATES FOR THE CHARACTERISTIC FUNCTION OF A PRIME IDEAL , 1985 .
[55] Joos Heintz,et al. Corrigendum: Definability and Fast Quantifier Elimination in Algebraically Closed Fields , 1983, Theor. Comput. Sci..
[56] Uwe Wessels,et al. On the ampleness of invertible sheaves in complete projective toric varieties , 1991 .