Remarks on the generalized index of an analytic improper intersection

Krzysztof Jan Nowak

Annales Polonici Mathematici (2003)

  • Volume: 81, Issue: 1, page 47-53
  • ISSN: 0066-2216

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.