On the index of contact

M. Montserrat Alonso Ferrero. "On the index of contact." Annales Polonici Mathematici 83.1 (2004): 77-86. <http://eudml.org/doc/280732>.

@article{M2004,
abstract = {We use the construction of the intersection product of two algebraic cones to prove that the multiplicity of contact of the cones at the vertex is equal to the product of their degrees. We give an example to show that in order to calculate the index of contact it is not sufficient to perform the analytic intersection algorithm with hyperplanes.},
author = {M. Montserrat Alonso Ferrero},
journal = {Annales Polonici Mathematici},
keywords = {multiplicity of proper and improper intersection; index and multiplicity of contact; Lojasiewicz exponent},
language = {eng},
number = {1},
pages = {77-86},
title = {On the index of contact},
url = {http://eudml.org/doc/280732},
volume = {83},
year = {2004},
}

TY - JOUR
AU - M. Montserrat Alonso Ferrero
TI - On the index of contact
JO - Annales Polonici Mathematici
PY - 2004
VL - 83
IS - 1
SP - 77
EP - 86
AB - We use the construction of the intersection product of two algebraic cones to prove that the multiplicity of contact of the cones at the vertex is equal to the product of their degrees. We give an example to show that in order to calculate the index of contact it is not sufficient to perform the analytic intersection algorithm with hyperplanes.
LA - eng
KW - multiplicity of proper and improper intersection; index and multiplicity of contact; Lojasiewicz exponent
UR - http://eudml.org/doc/280732
ER -