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The Jacobian Conjecture and Nilpotent Maps

โœ Scribed by V. S. Kulikov


Book ID
110366761
Publisher
Springer US
Year
2001
Tongue
English
Weight
124 KB
Volume
106
Category
Article
ISSN
1573-8795

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Diffeomorphic real-analytic maps and the
โœ M. Chamberland ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 390 KB

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