Image of iterated polynomial maps of the real plane

DOI10.1007/s40687-024-00433-2OpenAlexW4392231949MaRDI QIDQ6191464

Nguyen Tat Thang

Publication date: 7 March 2024

Published in: Research in the Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40687-024-00433-2

zbMATH Keywords

Jacobian conjecturepolynomial mappingsJelonek setiterated image

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Singularities of surfaces or higher-dimensional varieties (14J17) Milnor fibration; relations with knot theory (32S55) Deformations of complex singularities; vanishing cycles (32S30) Local complex singularities (32S05) Deformations of singularities (14B07)

Cites Work

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• The asymptotic variety of a Pinchuk map as a polynomial curve
• Iterated images and the plane Jacobian conjecture
• Testing sets for properness of polynomial mappings
• A counterexample to the strong real Jacobian conjecture
• Geometry of real polynomial mappings
• The variety of the asymptotic values of a real polynomial étale map
• Very degenerate polynomial submersions and counterexamples to the real Jacobian conjecture
• One-One Polynomial Maps
• Ganze Cremona-Transformationen

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