On residues associated to isolated intersections of complex analytic hypersurfaces (Q1071897)

Let X be a \({\mathbb{C}}\)-analytic manifold of \({\mathbb{C}}\)-dimension \(n\geq 1\) and let \(Y_ 1,...,Y_ n\) be n \({\mathbb{C}}\)-analytic hypersurfaces in X. In this paper, the author restricts his attention to the cases where X is a Stein or certain projective algebraic manifold with \(I:=\cap Y_ i\) which consists of only isolated points. Under these hypotheses, the author established a residue formula for holomorphic n-forms \(\omega \in \Omega^ n(X\setminus \cup Y_ i)\) at some point \(p\in I\) relative to certain n-cycle \(\gamma_ n\) satisfying certain topological conditions. The proofs are mainly topologic.