On the Lojasiewicz Exponent of the Gradient of a Polynomial Function
نویسنده
چکیده
Let h = ∑ hαβX Y β be a polynomial with complex coefficients. The Lojasiewicz exponent of the gradient of h at infinity is the upper bound of the set of all real λ such that |gradh(x, y)| ≥ c|(x, y)| in a neighbourhood of infinity in C, for c > 0. We estimate this quantity in terms of the Newton diagram of h. The equality is obtained in the nondegenerate case.
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