Analytic improper intersections. [Pt] 2, Deformation to an algebraic bicone and applications

• Autorzy: Nowak K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

analytic cycles; convergence of cycles; deformation to the normal cone; multiplicity of ideals in a local ring; normal cones; proper and improper intersection multiplicities; superficial and filter-regular elements

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2000
• Tom: Vol. 48, no 2
• Strony: 131--140
• Opis fizyczny: Bibliogr. 18 poz.,

Twórcy

autor

Nowak K.

• Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland