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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-4,
author = {Krzysztof Jan Nowak},
title = {Remarks on the generalized index of an analytic improper intersection},
journal = {Annales Polonici Mathematici},
volume = {81},
year = {2003},
pages = {47-53},
zbl = {1073.14506},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-4}
}
Krzysztof Jan Nowak. Remarks on the generalized index of an analytic improper intersection. Annales Polonici Mathematici, Tome 81 (2003) pp. 47-53. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap81-1-4/