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

García, 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 -