A note on holomorphic maps with unipotent Jacobian matrices
Author:
Abstract
We prove that a holomorphic map H : C 2 → C 2 H:\mathbb {C}^{2}\rightarrow \mathbb {C}^{2} is invertible if its Jacobian matrix J H JH is unipotent.
Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Link
http://www.ams.org/proc/1999-127-07/S0002-9939-99-04723-1/S0002-9939-99-04723-1.pdf
Reference2 articles.
1. The Jacobian conjecture: reduction of degree and formal expansion of the inverse;Bass, Hyman;Bull. Amer. Math. Soc. (N.S.),1982
2. A case of the Jacobian conjecture;Cheng, Charles Ching-an;J. Pure Appl. Algebra,1994
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