Some properties of and open problems on Hessian nilpotent polynomials

• Autorzy: Wenhua Zhao
• Języki publikacji: EN

Abstrakty

EN

In the recent work [BE1], [Me], [Burgers] and [HNP], the well-known Jacobian conjecture ([BCW], [E]) has been reduced to a problem on HN (Hessian nilpotent) polynomials (the polynomials whose Hessian matrix is nilpotent) and their (deformed) inversion pairs. In this paper, we prove several results on HN polynomials, their (deformed) inversion pairs as well as on the associated symmetric polynomial or formal maps. We also propose some open problems for further study.

Kategorie tematyczne

• 32A50: Harmonic analysis of several complex variables \SeeMainly{\SbjNo 43-XX}
• 32H02: Holomorphic mappings, (holomorphic) embeddings and related questions
• 14R15: Jacobian problem

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2008
• Tom: 93
• Numer: 2
• Strony: 135-162

Daty

wydano

2008

Twórcy

autor

Wenhua Zhao

• Department of Mathematics, Illinois State University, Normal, IL 61790-4520, U.S.A.

Identyfikatory

DOI

10.4064/ap93-2-3