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A computation of vanishing cycles with respect to irreducible plane curves. Applications to perverse sheaves. (Un calcul de cycles évanescents par rapport aux courbes planes irréductibles. Applications aux faisceaux pervers.) (French) Zbl 0591.14013

The author describes the diagram of vector spaces representing the perverse complex of vanishing cycles, associated to a local system on the complement of an irreducible plane curve, in terms of the associated representation of the local fundamental group.

MSC:

14F40 de Rham cohomology and algebraic geometry
32B10 Germs of analytic sets, local parametrization
14H45 Special algebraic curves and curves of low genus
32S05 Local complex singularities
14B05 Singularities in algebraic geometry
14F35 Homotopy theory and fundamental groups in algebraic geometry
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