Relations among analytic functions. II (Q1087676)

This is a sequel to part I of this paper (see the review above). We reduce to semicontinuity of local invariants the problem of finding \(C^{\infty}\) solutions to systems of equations involving division and composition by analytic functions. We prove semicontinuity in several general cases: in the algebraic category, for ''regular'' mappings, and for module homomorphisms over a finite mapping.