Bounds of traces in complete intersections and degrees in the Nullstellensatz

DOI10.1007/BF01198015zbMath0844.14018MaRDI QIDQ1901475

Pablo Solernó, Juan Sabia

Publication date: 29 August 1996

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

zbMATH Keywords

complete intersectionseffective Nullstellensatz

Mathematics Subject Classification ID

Complete intersections (14M10) Relevant commutative algebra (14A05)

Related Items

Complexity results for triangular sets, A global view of residues in the torus, Lower bounds for diophantine approximations, Bounds for the Hilbert function of polynomial ideals and for the degrees in the Nullstellensatz, Deformation techniques to solve generalised Pham systems, Straight-line programs in geometric elimination theory, Bit-size estimates for triangular sets in positive dimension, Bezoutian and quotient ring structure, Deformation techniques for efficient polynomial equation solving., A Gröbner free alternative for polynomial system solving, Computing bases of complete intersection rings in Noether position, Rational formulas for traces in zero-dimensional algebras, Matrices in elimination theory, Effective de Rham cohomology — The general case, On degree bounds for the sparse Nullstellensatz, Deformation techniques for sparse systems, Complexity bounds in elimination theory -- a survey., A sparse effective Nullstellensatz, Effective equidimensional decomposition of affine varieties

Cites Work

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• Definability and fast quantifier elimination in algebraically closed fields
• Bounds for the degrees in the division problem
• Bounds for the degrees in the Nullstellensatz
• Recent improvements in the complexity of the effective Nullstellensatz
• The membership problem for unmixed polynomial ideals is solvable in single exponential time
• An effective residual criterion for the membership problem in \(\mathbb{C} [z_ 1,\cdots{} ,z_ n\)]
• The red book of varieties and schemes
• On the efficiency of effective Nullstellensätze
• A combinatorial proof of the effective Nullstellensatz
• Generic local structure of the morphisms in commutative algebra
• Nullstellensatz effectif et Conjecture de Serre (Théorème de Quillen-Suslin) pour le Calcul Formel
• Sharp Effective Nullstellensatz