Intersection homology D-Modules and Bernstein polynomials associated with a complete intersection

Details Intersection homology D-Modules and Bernstein polynomials associated with a complete intersection Intersection homology D-Modules and Bernstein polynomials associated with a complete intersection

2007-09-11

arxiv.org/abs/0709.1578v2

Mathematics

Algebraic Geometry

16 pages

Scientific paper

Let X be a complex analytic manifold. Given a closed subspace $Y\subset X$ of pure codimension p>0, we consider the sheaf of local algebraic cohomology $H^p_{[Y]}({\cal O}_X)$, and ${\cal L}(Y,X)\subset H^p_{[Y]}({\cal O}_X)$ the intersection homology D_X-Module of Brylinski-Kashiwara. We give here an algebraic characterization of the spaces Y such that L(Y,X) coincides with $H^p_{[Y]}({\cal O}_X)$, in terms of Bernstein-Sato functional equations.

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