Brylinski, Jean-Luc \((C_ 0)\)-homologie d’intersection et faisceaux pervers. (French) Zbl 0574.14017 Sémin. Bourbaki, 34e année, Vol. 1981/82, Exposé 585, Astérisque 92-93, 129-157 (1982). [For the entire collection see Zbl 0489.00003.] This paper gives a beautiful exposition of the connection between intersection homology, perverse sheaves and modules covering in particular the Riemann-Hilbert correspondence and the Kazhdan-Lusztig multiplicity formulas. In comparison with the exposition of Lê Dũng Tráng and Z. Mebkhout [in Singularities, Summer Inst., Arcata/Calif. 1981, Proc. Symp. Pure Math. 40, Part 2, 31-63 (1983; Zbl 0521.14006)], the article we have to hand emphasizes the algebraic viewpoint. Reviewer: U.Karras Cited in 12 Documents MSC: 14F10 Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials 14C17 Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry 18F20 Presheaves and sheaves, stacks, descent conditions (category-theoretic aspects) 55N20 Generalized (extraordinary) homology and cohomology theories in algebraic topology Keywords:intersection homology; perverse sheaves Citations:Zbl 0489.00003; Zbl 0521.14006 PDFBibTeX XML Full Text: Numdam EuDML