Invertible polynomial mappings via Newton non-degeneracy

DOI10.5802/aif.2897zbMath1327.58034arXiv1303.6879OpenAlexW1536615012MaRDI QIDQ486823

Kiyoshi Takeuchi, Luis Renato G. Dias, Ying Chen, Mihai-Marius Tibar

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6879

zbMATH Keywords

Newton polyhedronJacobian problembifurcation locusregularity at infinityreal and complex polynomial mappings

Mathematics Subject Classification ID

Jacobian problem (14R15) Semialgebraic sets and related spaces (14P10) Singularities of differentiable mappings in differential topology (57R45) Global theory of complex singularities; cohomological properties (32S20) Critical points of functions and mappings on manifolds (58K05) Topological properties of mappings on manifolds (58K15)

Related Items (13)

Toward effective detection of the bifurcation locus of real polynomial maps ⋮ On polynomial submersions of degree 4 and the real Jacobian conjecture in \(\mathbb{R}^2\) ⋮ Bifurcation values of polynomial functions and perverse sheaves ⋮ Meromorphic nearby cycle functors and monodromies of meromorphic functions (with Appendix by T. Saito) ⋮ Properness of polynomial maps with Newton polyhedra ⋮ Growth at infinity and index of polynomial maps ⋮ On globally diffeomorphic polynomial maps via Newton polytopes and circuit numbers ⋮ Bifurcation sets and global monodromies of Newton nondegenerate polynomials on algebraic sets ⋮ The bifurcation set of a rational function via Newton polytopes ⋮ Detecting bifurcation values at infinity of real polynomials ⋮ On stability and the Łojasiewicz exponent at infinity of coercive polynomials ⋮ Milnor-Hamm fibration for mixed maps ⋮ Bifurcation sets of real polynomial functions of two variables and Newton polygons

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