On the generalized critical values of a polynomial mapping

DOI10.1007/s00229-002-0320-xzbMath1033.14036OpenAlexW2046777039MaRDI QIDQ1566316

Zbigniew Jelonek

Publication date: 2 June 2003

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-002-0320-x

zbMATH Keywords

algorithmGröbner basisasymptotic critical valuesgeneralized critical valuespolynomial dominant mappingsproper algebraic subset

Mathematics Subject Classification ID

Affine spaces (automorphisms, embeddings, exotic structures, cancellation problem) (14R10) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Linear transformations, semilinear transformations (15A04) Euclidean analytic geometry (51N20) Affine analytic geometry (51N10)

Related Items (15)

ON THE TOPOLOGY OF POLYNOMIAL MAPPINGS FROM ℂⁿ TO ℂ^n-1 ⋮ On the relative Kuo condition and the second relative Kuo condition ⋮ Some classical analysis results for continuous definable mappings ⋮ Topological triviality of deformations of regular mappings ⋮ Lipschitz continuity of tangent directions at infinity ⋮ Characterisations of \(V\)-sufficiency and \(C^0\)-sufficiency of relative jets ⋮ The discriminant of a system of equations ⋮ Equivalence of mappings at infinity ⋮ Thom isotopy theorem for nonproper maps and computation of sets of stratified generalized critical values ⋮ Global optimization of polynomials over real algebraic sets ⋮ Łojasiewicz exponent near the fibre of a mapping ⋮ Sufficient conditions for local equivalence of mappings ⋮ Fibrations and global injectivity of local homeomorphisms ⋮ On topological approaches to the Jacobian conjecture in ℂⁿ ⋮ Finite determinacy of non-isolated singularities

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