Lê Dũng Tráng; Mebkhout, Zoghman Variétés caractéristiques et variétés polaires. (Characteristic varieties and polar varieties). (French) Zbl 0566.32020 C. R. Acad. Sci., Paris, Sér. I 296, 129-132 (1983). We describe the characteristic variety of a differential system of Deligne type associated to a complex hypersurface by means of the geometry of this hypersurface. For this purpose we use the relation between the vanishing cycles of the holomorphic solutions of a holonomic system and its characteristic variety. Cited in 2 ReviewsCited in 10 Documents MSC: 32L10 Sheaves and cohomology of sections of holomorphic vector bundles, general results 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 58J10 Differential complexes Keywords:characteristic variety of a differential system; complex hypersurface; vanishing cycles; holonomic system PDFBibTeX XMLCite \textit{Lê Dũng Tráng} and \textit{Z. Mebkhout}, C. R. Acad. Sci., Paris, Sér. I 296, 129--132 (1983; Zbl 0566.32020)