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Variétés caractéristiques et variétés polaires. (Characteristic varieties and polar varieties). (French) Zbl 0566.32020
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.

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
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