Holomorphic Foliations in Ruled Surfaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1989Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 312, page 179 (issn: 0002-9947,

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Authors: Gómez-Mont, Xavier;

doi: 10.2307/2001213 , 10.1090/s0002-9947-1989-0983870-8

Holomorphic Foliations in Ruled Surfaces

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Abstract

We analyse the universal families of holomorphic foliations with singularities in a ruled surface. In terms of Chern classes we determine the general and the special families. We also classify all nonsingular foliations.

Keywords

foliations of ruled surfaces, Rational and ruled surfaces, Chern classes, Foliations in differential topology; geometric theory, transversal structure, holomorphic foliation

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