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Intersection of analytic curves

2003
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Annales Polonici Mathematici
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We give a relation between two theories of improper intersections, of Tworzewski and of Stückrad-Vogel, for the case of algebraic curves. Given two arbitrary quasiprojective curves V 1 , V 2 , the intersection cycle V 1 •V 2 in the sense of Tworzewski turns out to be the rational part of the Vogel cycle v(V 1 , V 2 ). We also give short proofs of two known effective formulae for the intersection cycle V 1 •V 2 in terms of local parametrizations of the curves. Introduction. For two arbitrary

doi:10.4064/ap80-0-16
fatcat:4pjvih2j7jgqjemchfqormov6a