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Foliations with a Kupka component on algebraic manifolds
Authors:Omegar Calvo-Andrade
Affiliation:(1) CIMAT, Ap. Postal 402, 36000 Guanajuato, Gto., México
Abstract:We consider codimension one holomorphic foliations in complex projective manifolds of dimension at least 3, having a compact Kupka component and represented by integrable holomorphic sections ohgr of the bundleTM*otimesL, whereL denotes a very ample holomorphic line bundle. We will show that, if the transversal type is not the radial vector field andH1 (M,Copf) = 0, then the foliation has a meromorphic first integral.Supported by Conacyt: 3398-E 9307
Keywords:Integrating factor  transversal affine structure  positive vector bundle  very ample line bundle
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