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A note on holomorphic maps with unipotent Jacobian matrices

Author(s): Yu Qing Chen
Journal: Proc. Amer. Math. Soc. 127 (1999), 2041-2044.
MSC (1991): Primary 32H99
Posted: February 16, 1999
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Abstract: We prove that a holomorphic map $H:\mathbb{C}^{2}\rightarrow \mathbb{C}^{2}$ is invertible if its Jacobian matrix is unipotent.

References:

[BCW]: H. Bass, E. H. Connell and D. Wright, The Jacobian Conjecture: Reduction of Degree and Formal Expansion of the Inverse, Bull. AMS 7 (1982), 287-330. MR 83k:14028
[CSW]: C. C. Cheng, T. Sakkalis and S. S. Wang, A Case of the Jacobian Conjecture, J. Pure Appl. Algebra 96 (1994), 15-18. MR 95i:14018a


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