\((C_0)\)-homologie d’intersection et faisceaux pervers. (French) Zbl 0574.14017

Brylinski, Jean-Luc

Sémin. Bourbaki, 34e année, Vol. 1981/82, Exp. No. 585, Astérisque 92-93, 129-157 (1982).

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 at hand emphasizes the algebraic viewpoint.
[For the entire collection see Zbl 0489.00003.]

Reviewer: Ulrich Karras (Dortmund)

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