Full paper in PDF:

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

Multiplicity of a Foliation on Projective
Spaces along an Integral Curve

Julio GARCíA

Facultad de Ciencias

Prado de la Magdalena, S/N

47005 Valladolid — Spain

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.