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Excess intersections and a correspondence principle. (English) Zbl 0733.14002
This paper elucidates the relation between two types of excess intersections. On the one hand we have special techniques applicable in special situations such as projective space or hypersurfaces developed by Vogel, Stückrad, Brownawell, Philippon etc. On the other hand, we have the abstract theory of Fulton and MacPherson which applies in general. Before this paper, it was not at all clear what the relation was between these two approaches. Now, fortunately, the author has shown how they are related.

14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry
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