On vector fields in C3 without a separatrix.

Olivares-Vázquez, J.. "On vector fields in C3 without a separatrix.." Revista Matemática de la Universidad Complutense de Madrid 5.1 (1992): 13-34. <http://eudml.org/doc/44305>.

@article{Olivares1992,
abstract = {A family of germs at 0 of holomorphic vector fields in C3 without separatrices is constructed, with the aid of the blown-up foliation F in the blown-up manifold C3. We impose conditions on the multiplicity and the linear part of F at its singular points (i.e., non-semisimplicity and certain nonresonancy), which are sufficient for the original vector field to be separatrix-free.},
author = {Olivares-Vázquez, J.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Campos vectoriales; Espacio fibrado; Espacios de funciones holomorfas; Teoría de campos; holomorphic vector field; separatrix},
language = {eng},
number = {1},
pages = {13-34},
title = {On vector fields in C3 without a separatrix.},
url = {http://eudml.org/doc/44305},
volume = {5},
year = {1992},
}

TY - JOUR
AU - Olivares-Vázquez, J.
TI - On vector fields in C3 without a separatrix.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1992
VL - 5
IS - 1
SP - 13
EP - 34
AB - A family of germs at 0 of holomorphic vector fields in C3 without separatrices is constructed, with the aid of the blown-up foliation F in the blown-up manifold C3. We impose conditions on the multiplicity and the linear part of F at its singular points (i.e., non-semisimplicity and certain nonresonancy), which are sufficient for the original vector field to be separatrix-free.
LA - eng
KW - Campos vectoriales; Espacio fibrado; Espacios de funciones holomorfas; Teoría de campos; holomorphic vector field; separatrix
UR - http://eudml.org/doc/44305
ER -