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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
##### Keywords:
estimation for analytic subsets