A New Class of Invertible Polynomial Maps (original) (raw)

Some remarks on the Jacobian conjecture and polynomial endomorphisms

Michiel de Bondt

Proceedings of the American Mathematical Society, 2013

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The Jacobian Conjecture: Linear triangularization for homogeneous polynomial maps in dimension three

Arno Van Den Essen

Journal of Algebra, 2005

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Injectivity of polynomial local homeomorphisms of Rn

A. Cima

Nonlinear Analysis: Theory, Methods & Applications, 1996

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The Jacobian conjecture: Reduction of degree and formal expansion of the inverse

Hyman Bass

Bulletin of the American Mathematical Society, 1982

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The classification of some polynomial maps with nilpotent Jacobians

Michiel de Bondt

Linear Algebra and its Applications

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Polynomial maps with invertible sums of Jacobian matrices and directional derivatives

Hongbo Guo, Michiel de Bondt

Indagationes Mathematicae, 2012

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On Bass’ inverse degree approach to the Jacobian conjecture and exponential automorphisms

Arno van den Essen

Contemporary Mathematics, 2000

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The Jacobian conjecture: ideal membership questions and recent advances

David Wright

Affine Algebraic Geometry, 2005

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Polynomial automorphisms and the Jacobian conjecture

Arno Van Den Essen

2000

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A remark on the two-dimensional Jacobian conjecture

Arno van den Essen

Journal of Pure and Applied Algebra, 1994

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On cubic-linear polynomial mappings

Gaetano Zampieri

Indagationes Mathematicae-new Series, 1997

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Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture

Arno Van Den Essen

Linear Algebra and its Applications, 1996

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Simple Rational Polynomials and the Jacobian Conjecture

Dũng Lê

Publications of the Research Institute for Mathematical Sciences, 2008

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Classification of Cubic Homogeneous Polynomial Maps with Jacobian Matrices of Rank Two

Michiel de Bondt

Bulletin of the Australian Mathematical Society

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Some remarks on the Jacobian Conjecture and Drużkowski mappings

Michiel de Bondt

Journal of Algebra, 2013

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Some Remarks on the Jacobian Conjecture and Connections with Hilbert's Irreducibility

Arno Van Den Essen

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n(A) for a Class of Polynomial Automorphisms and Stably Tameness

Arno Van Den Essen

Journal of Algebra, 1997

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Polynomial maps with invertible sums of Jacobian matrices and of directional Derivatives

Michiel de Bondt

2011

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Conjugation for polynomial mappings

Gaetano Zampieri

ZAMP Zeitschrift f�r angewandte Mathematik und Physik, 1995

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Invariants and conjugacy classes of triangular polynomial maps

S. Maubach

Journal of Pure and Applied Algebra, 2015

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Locally finite polynomial endomorphisms

Stefan Maubach

Journal of Pure and Applied Algebra, 2007

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A note on partial coordinate system in a polynomial ring

Animesh Lahiri

Communications in Algebra, 2018

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On the Jacobian Conjecture

Lihchung Wang

Taiwanese Journal of Mathematics

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A new formulation of the Jacobian Conjecture in characteristic ppp

Stefan Maubach

Colloquium Mathematicum, 2016

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Quadratic polynomial maps with Jacobian rank two

Michiel de Bondt

2017

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Some combinatorial questions about polynomial mappings

Arno Van Den Essen

Journal of Pure and Applied Algebra, 1997

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Irreducibility properties of Keller maps

Michiel de Bondt

arXiv (Cornell University), 2013

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Search for homogeneous polynomial invariants and a cubic-homogeneous mapping without quadratic invariants

Gianluca Gorni

2008

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Triangularization properties of power linear maps and the Structural Conjecture

Michiel de Bondt

Annales Polonici Mathematici, 2014

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Iterated images and the plane Jacobian conjecture

Ronen Peretz

Discrete and Continuous Dynamical Systems, 2006

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On some properties of coordinates in polynomial rings

Takanori Nagamine

Communications in Algebra, 2018

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