Polynomials with constant Hessian determinants in dimension three
نویسندگان
چکیده
منابع مشابه
Polynomials with constant Hessian determinants in dimension three
In this paper, we show that the Jacobian conjecture holds for gradient maps in dimension n ≤ 3 over a field K of characteristic zero. We do this by extending the following result for n ≤ 2 by F. Dillen to n ≤ 3: if f is a polynomial of degree larger than two in n ≤ 3 variables such that the Hessian determinant of f is constant, then after a suitable linear transformation (replacing f by f(Tx) f...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 2015
ISSN: 0022-4049
DOI: 10.1016/j.jpaa.2014.12.020