Injectivity of polynomial maps and foliations in the real plane (Q6637150)

scientific article; zbMATH DE number 7943125

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English	Injectivity of polynomial maps and foliations in the real plane	scientific article; zbMATH DE number 7943125

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instance of

scholarly article

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title

Injectivity of polynomial maps and foliations in the real plane (English)

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author

Francisco Braun

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Filipe Fernandes

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Bruna Oréfice-Okamoto

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published in

Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

13 November 2024

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zbMATH Keywords

real Jacobian conjecture

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Jacobian mates

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half-Reeb components

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bifurcation set

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MaRDI profile type

Publication

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cites work

Injective Morphisms of Real Algebraic Varieties

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The real Jacobian conjecture on \(\mathbb R^2\) is true when one of the components has degree 3

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Foliations, solvability, and global injectivity

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New lower bounds for the maximal number of inseparable leaves of nonsingular polynomial foliations of the plane

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Very degenerate polynomial submersions and counterexamples to the real Jacobian conjecture

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Topological equivalence of submersion functions and topological equivalence of their foliations on the plane: the linear-like case

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On polynomial submersions of degree 4 and the real Jacobian conjecture in \(\mathbb{R}^2\)

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The asymptotic variety of a Pinchuk map as a polynomial curve

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Detecting bifurcation values at infinity of real polynomials

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Global Injectivity of<i>C</i><sup>1</sup>Maps of the Real Plane, Inseparable Leaves and the Palais–Smale Condition

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Q4954120

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The Real Jacobian Conjecture for polynomials of degree 3

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Real Jacobian mates

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Polynomial foliations of \({\mathbb{R}}^ 2\).

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Geometry of real polynomial mappings

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Reaching generalized critical values of a polynomial

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Kegular curve-families filling the plane. I.

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Regular curve-families filling the plane. II.

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Ganze Cremona-Transformationen.

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Global Structure of Ordinary Differential Equations in the Plane

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Topological Types of Polynomial Differential Equations

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Dynamics, points and places at infinity, and the inversion of polynomial self-maps of \(\mathbb{R}^2\)

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Singular Points of Complex Hypersurfaces. (AM-61)

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Q4509277

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

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The geometry of the asymptotics of polynomial maps

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Q3668374

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A counterexample to the strong real Jacobian conjecture

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Propriétés topologiques des polynômes de deux variables complexes et automorphismes algébriques de l'espace \(C^2\)

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Ensembles et morphismes stratifiés

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Asymptotic behaviour of families of real curves

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Polynomial automorphisms and the Jacobian conjecture

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A Jacobian criterion for separability

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Identifiers

Mathematics Subject Classification ID

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10.1016/J.NA.2024.113645

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Sitelinks

Mathematics(1 entry)

mardi Publication:6637150