JournalsprimsVol. 45, No. 2pp. 645–660

Intersection Homology <i>D</i>-Module and Bernstein Polynomials Associated with a Complete Intersection

  • Tristan Torrelli

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

Let X be a complex analytic manifold. Given a closed subspace YX 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