中文

Unipotent Jacobian Matrices and Univalent Maps

代数几何 2007-05-23 v2

摘要

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 C1C^1 maps is explored here. Some results known in the polynomial case are extended to the C1C^1 context, and some special cases are resolved.

关键词

引用

@article{arxiv.math/9907157,
  title  = {Unipotent Jacobian Matrices and Univalent Maps},
  author = {L. Andrew Campbell},
  journal= {arXiv preprint arXiv:math/9907157},
  year   = {2007}
}

备注

Presented at the International Conference on Combinatorial and Computational Algebra, Hong Kong, May 24-29. 1999. Minor revision. 21 pages