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Zbl 0853.34002
Rebelo, Julio C.
Singularités des flots holomorphes. (Singularities of holomorphic flows.). (French)
[J] Ann. Inst. Fourier 46, No.2, 411-428 (1996). ISSN 0373-0956; ISSN 1777-5310/e

Summary: We get an obstruction to extend a germ of a holomorphic vector field to a complete holomorphic vector field. In particular, we prove that any isolated singularity of a complete holomorphic vector field on a complex surface has a non trivial second jet.
MSC 2000:
*34M05 Entire and meromorphic solutions

Keywords: singularities; flow; vector field; separatrix

Cited in: Zbl 1072.32013 Zbl 1026.32059 Zbl 0938.32019

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