We classify regular holonomic ^-modules whose characteristic variety is the union of the conormal bundles of the orbits of the group of similitudes of a non degenerate quadratic form.

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We give an algebraic classification of regular holonomic D-modules on (C 2n ) 2 related to the action of the group Sp(2n, C) × GL(2, C) product of the symplectic linear transformations group by the general linear group.

We show that the Milnor monodromy and the Milnor numbers naturally appear in the characteristic cycles of irreducible perverse sheaves having the singularities of a complex hypersurface. We find also a new numerical constraint on the Milnor monodromy for general hypersurface singularities.

No abstract