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A remark on the two-dimensional Jacobian conjecture

✍ Scribed by Arno van den Essen; Halszka Tutaj

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
216 KB
Volume
96
Category
Article
ISSN
0022-4049

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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