Germs of holomorphic vector fields in ℂ^{𝕞} without a separatrix

Luengo, I.; Olivares, J.

doi:10.1090/S0002-9947-00-02677-5

Germs of holomorphic vector fields in $\mathbb {C}^m$ without a separatrix
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by I. Luengo and J. Olivares PDF

Trans. Amer. Math. Soc. 352 (2000), 5511-5524 Request permission

Abstract:

We prove the existence of families of germs of holomorphic vector fields in $\mathbb {C}^m$ without a separatrix, in every complex dimension $m$ bigger than or equal to 4.

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