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This article, being the second part of our paper [7], continues to study the analytic intersection algorithm. We present a certain method of deformation of an analytic set to an algebraic bicone, and next we express the result of the analytic intersection algorithm and multiplicity for improper intersections as a degree sequence and the Samuel multiplicity of that bicone, respectively (cf. [6]). Also produced are many important consequences (cf. [6]), among others the coincidence between the intersection indices for analytic improper intersections defined by Tworzewski [12] and those defined by Achilles and Manaresi [1] (Corollary 3), the linear testing theorem (Corollary 6) or a generalization of the classical reduction theorem to the case of analytic improper intersections (Corollary 7) which ensures the canonical character of the diagonal procedure.
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Tom
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131--140
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Bibliogr. 18 poz.,
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- Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
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Bibliografia
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bwmeta1.element.baztech-article-BAT2-0001-0072