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Algebraic observations on the Jacobian conjecture

✍ Scribed by Eloise Hamann


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
238 KB
Volume
265
Category
Article
ISSN
0021-8693

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On the Jacobian Conjecture: Reduction of
✍ J.T. Yu πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 332 KB

We prove that a polynomial map from \(\mathbf{R}^{n}\) to itself with non-zero constant Jacobian determinant is a stably tame automorphism if its linear part is the identity and all the coefficients of its higher order terms are non-positive. We also prove that the Jacobian conjecture holds for any