The variety of the asymptotic values of a real polynomial étale map

DOI10.1016/0022-4049(95)00009-7zbMath0874.14050OpenAlexW2041703528MaRDI QIDQ1910752

Ronen Peretz

Publication date: 10 November 1997

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

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00009-7

zbMATH Keywords

real Jacobian conjectureJacobian conditionasymptotic values of a real polynomial

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Topology of real algebraic varieties (14P25)

Related Items (5)

The asymptotic variety of a Pinchuk map as a polynomial curve ⋮ Pinchuk maps and function fields ⋮ Étale exoticity of the Pinchuk surface ⋮ Image of iterated polynomial maps of the real plane ⋮ The geometry of the asymptotics of polynomial maps

Cites Work

• Surjectivity of certain injective semialgebraic transformations of \({\mathbb{R}}\) n
• A counterexample to the strong real Jacobian conjecture
• Lectures on expansion techniques in algebraic geometry. With notes by Balwant Singh
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Ganze Cremona-Transformationen
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