Remarks on the generalized index of an analytic improper intersection

Krzysztof Jan Nowak. "Remarks on the generalized index of an analytic improper intersection." Annales Polonici Mathematici 81.1 (2003): 47-53. <http://eudml.org/doc/280555>.

@article{KrzysztofJanNowak2003,
abstract = {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.},
author = {Krzysztof Jan Nowak},
journal = {Annales Polonici Mathematici},
keywords = {analytic intersection algorithm; deformation to the normal cone; algebraic bicones},
language = {eng},
number = {1},
pages = {47-53},
title = {Remarks on the generalized index of an analytic improper intersection},
url = {http://eudml.org/doc/280555},
volume = {81},
year = {2003},
}

TY - JOUR
AU - Krzysztof Jan Nowak
TI - Remarks on the generalized index of an analytic improper intersection
JO - Annales Polonici Mathematici
PY - 2003
VL - 81
IS - 1
SP - 47
EP - 53
AB - 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.
LA - eng
KW - analytic intersection algorithm; deformation to the normal cone; algebraic bicones
UR - http://eudml.org/doc/280555
ER -