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ArticleOriginal scientific text

Title

Non-zero constant Jacobian polynomial maps of ℂ²

Authors 1

Affiliations

  1. Hanoi Institute of Mathematics, P.O. Box 631, Boho 10000, Hanoi, Vietnam

Abstract

We study the behavior at infinity of non-zero constant Jacobian polynomial maps f = (P,Q) in ℂ² by analyzing the influence of the Jacobian condition on the structure of Newton-Puiseux expansions of branches at infinity of level sets of the components. One of the results obtained states that the Jacobian conjecture in ℂ² is true if the Jacobian condition ensures that the restriction of Q to the curve P = 0 has only one pole.

Keywords

ENG
Jacobian conjecture, polynomial automorphism, Newton-Puiseux expansion

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Annales Polonici Mathematici
1999/71/3
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Pages:
287-310
Main language of publication
English
Received
1998-11-03
Accepted
1999-03-22
Published
1999
Exact and natural sciences