A corollary of the b-function lemma

2008/10/08 by Alexander Beilinson, Beilinson, Alexander, Dennis Gaitsgory +1 · 1 citation
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras #math.AG

paper · pdf · doi:10.48550/arxiv.0810.1504

openalex publication_date 2008/10/08 · arxiv created 2011/10/01 · arxiv updated 2011/10/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let X be an algebraic variety, f a regular function, j:U⊂ X the complement to the locus of vanishing of f, and M a holonomic D-module on U. Consider the D_U[s]-module M⊗ "f^s". The goal of this note is to describe all D_X[s]-submodules N⊂ j_*(M⊗ "f^s") such that j^*(N)≃ M⊗ "f^s".

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• Three results on holonomic D-modules

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