A Corollary of the B-function Lemma
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Beilinson, Alexander, and Dennis Gaitsgory. 2011. A corollary of the b-function lemma. Selecta Mathematica, ns., 18(2): 319-327.Abstract
Let \(X\) be an algebraic variety, \(f\) a regular function, \(j:U \hookrightarrow X\) the complement to the locus of vanishing of \(f\), and \(M\) a holonomic D-module on \(U\). Consider the \(D_U[s]\)-module \(M\otimes "f^s"\). The goal of this note is to describe all \(D_X[s]\)-submodules \(N \hookrightarrow j_*(M\otimes "f^s")\) such that \(j^*(N)\simeq M\otimes "f^s"\).Other Sources
http://arxiv.org/abs/0810.1504v2Terms of Use
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