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The Combinatorial Identity on the Jacobian Conjecture

โœ Scribed by Georgy P. Egorychev; Vitaly A. Stepanenko

Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
206 KB
Volume
85
Category
Article
ISSN
0167-8019

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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