Intersection Homology <i>D</i>-Module and Bernstein Polynomials Associated with a Complete Intersection
Tristan Torrelli
Université Henri Poincaré, Vandoeuvre lès Nancy, France

Abstract
Let X be a complex analytic manifold. Given a closed subspace Y ⊂ X of pure codimension p ≥ 1, we consider the sheaf of local algebraic cohomology Hp[Y](OX), and L(Y,X)⊂ Hp[Y ](OX) the intersection homology DX-Module of Brylinski-Kashiwara. We give here an algebraic characterization of the spaces Y such that L(Y,X) coincides with Hp[Y](OX), in terms of Bernstein-Sato functional equations.
Cite this article
Tristan Torrelli, Intersection Homology <i>D</i>-Module and Bernstein Polynomials Associated with a Complete Intersection. Publ. Res. Inst. Math. Sci. 45 (2009), no. 2, pp. 645–660
DOI 10.2977/PRIMS/1241553132