Bézout-type theorems for certain analytic sets. (English) Zbl 0947.32002

Rams, Sławomir

Bull. Pol. Acad. Sci., Math. 46, No. 3, 277-283 (1998).

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

Keywords:

multiplicity of intersection; convergence of currents; holomorphic chain