Holomorphic vector fields transverse to polydiscs

• Autores: Filippo Bracci, Bruno Scárdua
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 75, Nº 1, 2007, págs. 99-115
• Idioma: inglés
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• Resumen

  • In this article, we study holomorphic vector fields transverse to the boundary of a polydisc in n, n 3. We prove that, under a suitable hypothesis of transversality with the boundary of the polydisc, the foliation is the pull-back of a linear hyperbolic foliation via a locally injective holomorphic map. This is the n 3 version for one-dimensional foliations of a previous result proved for n = 2 by Brunella and Sad and for codimension-one foliations by Ito and Scárdua.