Intersection Homology $\mathcal D$-Module and Bernstein Polynomials Associated with a Complete Intersection
Tristan Torrelli · Publications of the Research Institute for Mathematical Sciences · 2009
Let X be a complex analytic manifold. Given a closed subspace Y\subset X of pure codimension p ≥ 1 , we consider the sheaf of local algebraic cohomology H^p_{[Y]}(\mathcal O_X) , and \mathcal L(Y,X)\subset H^p_{[Y ]}(\mathcal O_X) the intersection homology \mathcal D_X -Module of Brylinski–Kashiwara. We give here an algebraic characterization of the spaces Y such that \mathcal L(Y,X) coincides with H^p_{[Y]}(\mathcal O_X) , in terms of Bernstein–Sato functional equations.