Baum-Bott indices for curves of singularities

Let F be a holomorphic foliation on Pⁿ by curves such that the components of its singular locus are curves C_i and points p_j. We compute the Baum-Bott indices BB_φ(F, C_i) in terms of the main invariants of F and C_i. We also determine the sum of the BB_φ(F, p_i) 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.