Rational Samuelson maps are univalent

DOI10.1016/0022-4049(94)90096-5zbMath0814.14049OpenAlexW2168255603MaRDI QIDQ1318780

V. Pereyra

Publication date: 4 April 1994

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(94)90096-5

zbMATH Keywords

Jacobian conjectureSamuelson map

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Differentiable maps on manifolds (58C25) Rings with straightening laws, Hodge algebras (13F50) Real-valued functions on manifolds (58C05)

Related Items (3)

Remarks on the real Jacobian conjecture and Samuelson maps ⋮ Partial properness and real planar maps ⋮ Samuelson maps - recent results

Cites Work

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• Jacobian problems in differential equations and algebraic geometry
• Polynomial flows in the plane
• Surjectivity of certain injective semialgebraic transformations of \({\mathbb{R}}\) n
• Polynomial maps and a conjecture of Samuelson
• Boundary conditions for the univalence of NVL-transformations
• Decomposing Samuelson maps
• On global univalence theorems
• The Jacobian matrix and global univalence of mappings
• Almost N-matrices and linear complementarity
• Injective Morphisms of Real Algebraic Varieties
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• A Jacobian condition for injectivity of differentiable plane maps
• Alfred Tarski's elimination theory for real closed fields

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