Geodesic
On the index of contact
M. Montserrat Alonso Ferrero1
1 Dipartimento 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 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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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

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