Abstract
Let F be a holomorphic foliation on Pn by curves such that the components of its singular locus are curves Ci and points p j. We compute the Baum-Bott indices BBφ(F, Ci) in terms of the main invariants of F and Ci. We also determine the sum of the BBφ(F, pi) in terms of the same invariants. When φ corresponds to the determinant, the latter result generalizes, from special to all holomorphic foliations, a formula for the number of isolated singularities of F, counted with multiplicities.
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