Geodesic
On the index of contact
M. Montserrat Alonso Ferrero1
1Dipartimento di Matematica Università di Bologna Piazza di Porta S. Donato 5 I-40126 Bologna, Italy
Annales Polonici Mathematici, Tome 83 (2004) no. 1, pp. 77-86

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap83-1-9
Keywords: construction intersection product algebraic cones prove multiplicity contact cones vertex equal product their degrees example order calculate index contact sufficient perform analytic intersection algorithm hyperplanes

M. Montserrat Alonso Ferrero  1

1 Dipartimento di Matematica Università di Bologna Piazza di Porta S. Donato 5 I-40126 Bologna, Italy 
M. Montserrat Alonso Ferrero. On the index of contact. Annales Polonici Mathematici, Tome 83 (2004) no. 1, pp. 77-86. doi: 10.4064/ap83-1-9
@article{10_4064_ap83_1_9,
     author = {M. Montserrat Alonso Ferrero},
     title = {On the index of contact},
     journal = {Annales Polonici Mathematici},
     pages = {77--86},
     year = {2004},
     volume = {83},
     number = {1},
     doi = {10.4064/ap83-1-9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap83-1-9/}
}
TY  - JOUR
AU  - M. Montserrat Alonso Ferrero
TI  - On the index of contact
JO  - Annales Polonici Mathematici
PY  - 2004
SP  - 77
EP  - 86
VL  - 83
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap83-1-9/
DO  - 10.4064/ap83-1-9
LA  - en
ID  - 10_4064_ap83_1_9
ER  - 
%0 Journal Article
%A M. Montserrat Alonso Ferrero
%T On the index of contact
%J Annales Polonici Mathematici
%D 2004
%P 77-86
%V 83
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap83-1-9/
%R 10.4064/ap83-1-9
%G en
%F 10_4064_ap83_1_9

Cité par Sources :