Explicit factors of some iterated resultants and discriminants

DOI10.1090/S0025-5718-08-02111-XzbMath1200.13042MaRDI QIDQ3055098

Mourrain, Bernard, Laurent Busé

Publication date: 7 November 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

Mathematics Subject Classification ID

Polynomials, factorization in commutative rings (13P05)

Related Items

Multivariate discriminant and iterated resultant, A certified numerical algorithm for the topology of resultant and discriminant curves, Differential Elimination for Dynamical Models via Projections with Applications to Structural Identifiability, Iterated and mixed discriminants, Detection of special curves via the double resultant, On the discriminant scheme of homogeneous polynomials, Validity proof of Lazard's method for CAD construction, Need Polynomial Systems Be Doubly-Exponential?, Cylindrical algebraic decomposition with equational constraints, On the equations of the moving curve ideal of a rational algebraic plane curve, The Complexity of Cylindrical Algebraic Decomposition with Respect to Polynomial Degree, Iterated discriminants, Isotopic triangulation of a real algebraic surface

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On singularities of mappings of Euclidean spaces. I. Mappings of the plane into the plane
• Iterated discriminants
• Projections of smooth surfaces
• Le formalisme du résultant. (The formalism of resultant)
• Implicit representation of rational parametric surfaces
• Triangulation of subanalytic sets and proper subanalytic maps
• Factors of iterated resultants and discriminants
• Inertia forms and resultant: A formulary
• Resultants of determinantal varieties
• Efficient incremental algorithms for the sparse resultant and the mixed volume
• Anisotropic resultant. Complements and applications
• Generic projections
• Macaulay style formulas for sparse resultants
• Funktionaldeterminanten und Diskriminanten bei Polynomen in mehreren Unbestimmten
• Algorithms in real algebraic geometry
• Resultant over the residual of a complete intersection.