Geodesic
Some properties of and open problems on Hessian nilpotent polynomials
Wenhua Zhao1
1Department of Mathematics Illinois State University Normal, IL 61790-4520, U.S.A.
Annales Polonici Mathematici, Tome 93 (2008) no. 2, pp. 135-162
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In the recent work \cite{BE1}, \cite{Me}, \cite{Burgers} and \cite{HNP}, the well-known Jacobian conjecture (\cite{BCW}, \cite{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.
DOI : 10.4064/ap93-2-3
Keywords: recent work cite cite cite burgers cite hnp well known jacobian conjecture cite bcw cite has reduced problem hessian nilpotent polynomials polynomials whose hessian matrix nilpotent their deformed inversion pairs paper prove several results polynomials their deformed inversion pairs associated symmetric polynomial formal maps propose problems further study

Wenhua Zhao  1

1 Department of Mathematics Illinois State University Normal, IL 61790-4520, U.S.A. 
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Wenhua Zhao. Some properties of and open problems on 
Hessian nilpotent polynomials. Annales Polonici Mathematici, Tome 93 (2008) no. 2, pp. 135-162. doi: 10.4064/ap93-2-3

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