A set on which the Łojasiewicz exponent at infinity is attained

ArticleOriginal scientific text

Title

Authors ¹, ¹

We show that for a polynomial mapping

F = (f ₁, ..., f ₘ) : ℂ^{n} \to ℂ^{m}

the Łojasiewicz exponent

_\infty (F)

of F is attained on the set

{z \in ℂ^{n} : f ₁ (z) \cdot ... \cdot f ₘ (z) = 0}

.

polynomial mapping, Łojasiewicz exponent

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