## 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

Zbl 0911.32018
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