Aleksandrov, A. G. Nonisolated Saito singularities. (Russian) Zbl 0667.32010 Mat. Sb., N. Ser. 137(179), No. 4(12), 554-567 (1988). With every hypersurface D in complex space one can associate an \({\mathcal O}_ m\)-module of tangent vector fields. If this module is locally free then D is a Saito’s divisor. The author investigates the module \({\mathcal O}_ m\), the quality of subspace of singularities “sing D” of D. The main results are: “D is Saito’s divisor” and “sing D is a Cohen-Macaulay space” are equivalent, and the theory of local duality for isolated singularities is valid for nonisolated Saito’s singularities. Reviewer: S.F.Krendelev Cited in 2 ReviewsCited in 6 Documents MSC: 32Sxx Complex singularities 32S60 Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) 14J17 Singularities of surfaces or higher-dimensional varieties Keywords:Saito’s divisor; subspace of singularities; Cohen-Macaulay space; local duality; isolated singularities PDFBibTeX XMLCite \textit{A. G. Aleksandrov}, Mat. Sb., Nov. Ser. 137(179), No. 4(12), 554--567 (1988; Zbl 0667.32010) Full Text: EuDML