Narváez Macarro, Luis 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 C. R. Acad. Sci., Paris, Sér. I 301, 197-200 (1985). 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. Reviewer: Rodolfo Salvi (Milano) Cited in 1 Document 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 Keywords:germ of functions; perverse complex of vanishing cycles; local system on the complement of an irreducible plane curve; local fundamental group PDFBibTeX XMLCite \textit{L. Narváez Macarro}, C. R. Acad. Sci., Paris, Sér. I 301, 197--200 (1985; Zbl 0591.14013)