Unipotent Jacobian Matrices and Univalent Maps

Details Unipotent Jacobian Matrices and Univalent Maps Unipotent Jacobian Matrices and Univalent Maps

1999-07-23

arxiv.org/abs/math/9907157v2

Mathematics

Algebraic Geometry

Presented at the International Conference on Combinatorial and Computational Algebra, Hong Kong, May 24-29. 1999. Minor revisi

Scientific paper

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.

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