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Germs of holomorphic vector fields in C-m without a separatrix

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2000

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American Mathematical Society
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We prove the existence of families of germs of holomorphic vector fields in Cm without a separatrix, in every complex dimension m bigger than or equal to 4.

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Supported by DGICYT (Spain) PB97-0284-C02-01.Partially supported by CONACYT (Mexico) Projects 3398-E9307, 0324P-E9506 and Postdoctoral Grant 963052, at Dto. Algebra, Geometria y Topologia, U. Valladolid.

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