A note on holomorphic maps with unipotent Jacobian matrices
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- by Yu Qing Chen PDF
- Proc. Amer. Math. Soc. 127 (1999), 2041-2044 Request permission
Abstract:
We prove that a holomorphic map $H:\mathbb {C}^{2}\rightarrow \mathbb {C}^{2}$ is invertible if its Jacobian matrix $JH$ is unipotent.References
- Hyman Bass, Edwin H. Connell, and David Wright, The Jacobian conjecture: reduction of degree and formal expansion of the inverse, Bull. Amer. Math. Soc. (N.S.) 7 (1982), no. 2, 287–330. MR 663785, DOI 10.1090/S0273-0979-1982-15032-7
- Charles Ching-an Cheng, Takis Sakkalis, and Stuart Sui Sheng Wang, A case of the Jacobian conjecture, J. Pure Appl. Algebra 96 (1994), no. 1, 15–18. MR 1297436, DOI 10.1016/0022-4049(94)90082-5
Additional Information
- Yu Qing Chen
- Affiliation: Department of Mathematics, Ohio State University, Columbus, Ohio 43210
- Email: yuqchen@math.ohio-state.edu
- Received by editor(s): September 26, 1997
- Published electronically: February 16, 1999
- Communicated by: Steven R. Bell
- © Copyright 1999 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 127 (1999), 2041-2044
- MSC (1991): Primary 32H99
- DOI: https://doi.org/10.1090/S0002-9939-99-04723-1
- MathSciNet review: 1485463