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Bézout-type theorems for certain analytic sets. (English) Zbl 0947.32002
The author gives a formula for the total number of intersections of certain analytic subsets of cartesian products of homomorphically separable second-countables complex manifolds, expressing the degree of some 0-dimensional intersection cycle $$Z_1, \dots, Z_k$$ as product of the multiplicities $$\mu(Z_i)$$. Best results are given for curves in cartesian products of open subsets of $$\mathbb{C}$$.
Reviewer: M.Roczen (Berlin)
##### MSC:
 32B15 Analytic subsets of affine space 32B99 Local analytic geometry