2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78872The 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 pagesAlgebraic Geometry26B10; 14E07; 58C30text