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$%J. García, Multiplicity of a foliation on projective spaces along an integral curve, Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 2, 207–217.%$

Multiplicity of a Foliation on Projective Spaces along an Integral Curve
Julio GARCíA
Dpto. de Álgegra, Geometría y Topología
Facultad de Ciencias
Prado de la Magdalena, S/N
47005 Valladolid — Spain

Received: February 21, 1992
Revised: March 22, 1993
ABSTRACT

We compute the global multiplicity of a 1-dimensional foliation along an integral curve in projective spaces. We give a bound in the way of Poincaré problem for a complete intersection curves. In the projective plane, this bound give us a bound of the degree of non irreducible integral curves in function of the degree of the foliation.

1991 Mathematics Subject Classification: 57R25, 51N15, 24A20.