Degree reduction under specialization

DOI10.1016/S0022-4049(00)00151-1zbMath0998.13014MaRDI QIDQ5951562

Barry M. Trager, Elisabetta Fortuna, Patrizia Gianni

Publication date: 21 November 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

specialization of Gröbner basissystems of parametric polynomial equations in several variables

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Numerical computation of solutions to systems of equations (65H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items (8)

Canonical comprehensive Gröbner bases ⋮ Gröbner bases for polynomial systems with parameters ⋮ Improving the DISPGB algorithm using the discriminant ideal ⋮ Gröbner bases for families of affine or projective schemes ⋮ Term Cancellations in Computing Floating-Point Gröbner Bases ⋮ Floating-Point Gröbner Basis Computation with Ill-conditionedness Estimation ⋮ A Practical Method for Floating-Point Gröbner Basis Computation ⋮ On QE algorithms over an algebraically closed field based on comprehensive Gröbner systems

Cites Work

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• Comprehensive Gröbner bases
• On lucky ideals for Gröbner basis computations
• Über B. Buchbergers Verfahren, Systeme algebraischer Gleichungen zu lösen
• On lucky primes
• On Gröbner bases under specialization
• On the stability of Gröbner bases under specializations
• On flatness of generic projections
• Grobner bases and extension of scalars
• Solving systems of algebraic equations by using gröbner bases
• Properties of Gröbner bases under specializations

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