Unipotent Jacobian Matrices and Univalent Maps

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The Jacobian Conjecture would follow if it were known that real polynomial maps with a unipotent Jacobian matrix are injective. The conjecture that this is true even for $C^1$ maps is explored here. Some results known in the polynomial case are extended to the $C^1$ context, and some special cases are resolved.
Presented at the International Conference on Combinatorial and Computational Algebra, Hong Kong, May 24-29. 1999. Minor revision. 21 pages

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Algebraic Geometry, 26B10; 14E07; 58C30

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http://salesiana.dossiersoluciones.com/handle/123456789/78872

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9907157
 http://arxiv.org/abs/math/9907157

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arXiv