Foliations with a Kupka component on algebraic manifolds |
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Authors: | Omegar Calvo-Andrade |
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Affiliation: | (1) CIMAT, Ap. Postal 402, 36000 Guanajuato, Gto., México |
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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 of the bundleTM*L, whereL denotes a very ample holomorphic line bundle. We will show that, if the transversal type is not the radial vector field andH1 (M,) = 0, then the foliation has a meromorphic first integral.Supported by Conacyt: 3398-E 9307 |
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Keywords: | Integrating factor transversal affine structure positive vector bundle very ample line bundle |
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