On vector fields in C3 without a separatrix.
Olivares-Vázquez, J.
Revista Matemática de la Universidad Complutense de Madrid, Tome 5 (1992), p. 13-34 / Harvested from Biblioteca Digital de Matemáticas
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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.

Publié le : 1992-01-01
DMLE-ID : 778 
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     title = {On vector fields in C3 without a separatrix.},
     journal = {Revista Matem\'atica de la Universidad Complutense de Madrid},
     volume = {5},
     year = {1992},
     pages = {13-34},
     zbl = {0781.32030},
     mrnumber = {MR1183423},
     language = {en},
     url = {http://dml.mathdoc.fr/item/urn:eudml:doc:44305}
}

Olivares-Vázquez, J. On vector fields in C3 without a separatrix.. Revista Matemática de la Universidad Complutense de Madrid, Tome 5 (1992) pp. 13-34. http://gdmltest.u-ga.fr/item/urn:eudml:doc:44305/