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Une évaluation pour les sous-ensembles analytiques complexes. (French) Zbl 0578.32013
Summary: Let \(A\subset {\mathbb{C}}^{k+1}\) be a purely k-dimensional analytic set near \(0\in {\mathbb{C}}^{k+1}\) such that the natural projection \(A\to {\mathbb{C}}^ k\) is of finite type at \(0\in A\). We give an estimate of the greatest number q such that there exist a vicinity \(U\times V\) and a constant \(C>0\) such that \[ A\cap (U\times V)\subset \{(x,y)\in U\times V: | y| \leq C| x|^ q\}. \]

MSC:
32B15 Analytic subsets of affine space
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