Bracci, Filippo; Suwa, Tatsuo Residues for holomorphic foliations of singular pairs. (English) Zbl 1074.32009 Adv. Geom. 5, No. 1, 81-95 (2005). Let \(X\) be a (possibly singular) subvariety of a complex manifold \(M\). Assume that \(Y\) is the intersection of \(X\) with a submanifold \(P\subset M\) and that this intersection is generically transversal. Assume further that there exists a holomorphic foliation \(\mathcal F\) of \(X\) leaving \(Y\) invariant.The authors prove a type of Camacho-Sad residue theorem for the pair \((X,Y)\). Reviewer: Xianghong Gong (Madison) MSC: 32S65 Singularities of holomorphic vector fields and foliations Keywords:Camacho-Sad residue theorem; holomorphic foliation PDFBibTeX XMLCite \textit{F. Bracci} and \textit{T. Suwa}, Adv. Geom. 5, No. 1, 81--95 (2005; Zbl 1074.32009) Full Text: DOI arXiv Link