# Multiplicity of a foliation on projective spaces along an integral curve.

Revista Matemática de la Universidad Complutense de Madrid (1993)

- Volume: 6, Issue: 2, page 207-217
- ISSN: 1139-1138

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topGarcía, Julio. "Multiplicity of a foliation on projective spaces along an integral curve.." Revista Matemática de la Universidad Complutense de Madrid 6.2 (1993): 207-217. <http://eudml.org/doc/43799>.

@article{García1993,

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.},

author = {García, Julio},

journal = {Revista Matemática de la Universidad Complutense de Madrid},

keywords = {Ecuaciones diferenciales; Geometría analítica proyectiva; Espacio proyectivo; Foliaciones; degree of foliation; multiplicity; 1-dimensional foliation; integral curve; projective spaces},

language = {eng},

number = {2},

pages = {207-217},

title = {Multiplicity of a foliation on projective spaces along an integral curve.},

url = {http://eudml.org/doc/43799},

volume = {6},

year = {1993},

}

TY - JOUR

AU - García, Julio

TI - Multiplicity of a foliation on projective spaces along an integral curve.

JO - Revista Matemática de la Universidad Complutense de Madrid

PY - 1993

VL - 6

IS - 2

SP - 207

EP - 217

AB - 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.

LA - eng

KW - Ecuaciones diferenciales; Geometría analítica proyectiva; Espacio proyectivo; Foliaciones; degree of foliation; multiplicity; 1-dimensional foliation; integral curve; projective spaces

UR - http://eudml.org/doc/43799

ER -