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On the intersection product of analytic cycles. (English) Zbl 0978.32005

Let \(M\) be a closed complex manifold. The author shows that both the extended index of intersection of an analytic subset of \(M\) with a closed submanifold of \(M\) at a point of their intersection and the intersection product of analytic cycles on \(M\) as defined by P. Tworzewski [Ann. Pol. Math. 62, No. 2, 177-191 (1995; Zbl 0911.32018)] are intrinsic, i.e. do not change if \(M\) is replaced by a larger manifold which contains \(M\) as a closed submanifold. This result enables him, to extend the concept of intersection product to analytic cycles on a reduced analytic space.

MSC:

32C25 Analytic subsets and submanifolds
14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry

Citations:

Zbl 0911.32018
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