Remarks on the generalized index of an analytic improper intersection

• Autorzy: Krzysztof Jan Nowak
• Języki publikacji: EN

Abstrakty

EN

This article continues the investigation of the analytic intersection algorithm from the perspective of deformation to the normal cone, carried out in the previous papers of the author [7, 8, 9]. The main theorem asserts that, given an analytic set V and a linear subspace S, every collection of hyperplanes, admissible with respect to an algebraic bicone B, realizes the generalized intersection index of V and S. This result is important because the conditions for a collection of hyperplanes to be admissible with respect to B are of geometric nature: it is not necessary to analyse the embedded components of the intersections involved, but only the supports of the intersections of B with successive hyperplanes.

Kategorie tematyczne

• 32C25: Analytic subsets and submanifolds
• 32B10: Germs of analytic sets, local parametrization
• 14C17: Intersection theory, characteristic classes, intersection multiplicities
• 32S10: Invariants of analytic local rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2003
• Tom: 81
• Numer: 1
• Strony: 47-53

Daty

wydano

2003

Twórcy

autor

Krzysztof Jan Nowak

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

Identyfikatory

DOI

10.4064/ap81-1-4