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

2007/09/11 by Tristan Torrelli, Torrelli, Tristan
Computer Science · Engineering · Mathematics · #14B05 #32C25 #32C38 #32C40 #32S40 #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14B05 #msc:32C25 #msc:32C38 #msc:32C40 #msc:32S40

paper · pdf · doi:10.48550/arxiv.0709.1578

16 pages

openalex publication_date 2007/09/11 · arxiv created 2008/05/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be a complex analytic manifold. Given a closed subspace Y⊂ 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)⊂ 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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