Residue-type indices and holomorphic foliations
Residue-type indices and holomorphic foliations
We investigate residue-type indices for germs of holomorphic foliations in the plane and characterize second type foliations -those not containing tangent saddlenodes in the reduction of singularities -by an expression involving the Baum-Bott, variation and polar excess indices.These local results are applied in the study of logarithmic foliations on compact …