Remarks on the Jacobian conjecture

DOI10.1006/JABR.1996.6816zbMath0892.14010OpenAlexW1987465467WikidataQ123132636 ScholiaQ123132636MaRDI QIDQ1355502

Jie-Tai Yu

Publication date: 19 July 1998

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6816

zbMATH Keywords

jacobian conjectureinjective polynomial mappingspolynomial birational mappings

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials in real and complex fields: location of zeros (algebraic theorems) (12D10) Automorphisms of curves (14H37) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items (1)

Dual Lie bialgebra structures of Poisson types

Cites Work

• Face polynomials and inversion formula
• On relations between Jacobians and minimal polynomials
• Flatness of an extension of a commutative ring
• Computing minimal polynomials and the degree of unfaithfulness
• Injective Morphisms of Real Algebraic Varieties
• The Jacobian conjecture: Reduction of degree and formal expansion of the inverse
• Injective Polynomial Maps are Automorphisms
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