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Polynomial maps with strongly nilpotent Jacobian matrix and the Jacobian conjecture

โœ Scribed by Arno van den Essen; Engelbert Hubbers


Book ID
107826753
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
616 KB
Volume
247
Category
Article
ISSN
0024-3795

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It is shown that if the real-analytic map f(x) : Ill2 + BP2 has a Jacobian matrix whose eigenvaluee are always both one, then the map ls a diffeemorphism. An explicit form of the inverse ls given. The proof relies on a result which says that the only global solutions to the quasi-linear partial diff