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HOLOMORPHIC FOLIATIONS AND CHARACTERISTIC NUMBERS

We relate the characteristic numbers of the normal sheaf of a k-dimensional holomorphic foliation of a compact complex manifold Mn, to the characteristic numbers of the normal sheaf of a one-dimensional holomorphic foliation associated to . In case M is a complex projective space, we also obtain bounds for the degrees of the components of codimension k - 1 of the singular set of .