Beilinson, AlexanderGaitsgory, Dennis2012-12-122011Beilinson, Alexander, and Dennis Gaitsgory. 2011. A corollary of the b-function lemma. Selecta Mathematica, ns., 18(2): 319-327.1420-9020http://nrs.harvard.edu/urn-3:HUL.InstRepos:10043336Let \(X\) 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 \(j^*(N)\simeq M\otimes "f^s"\).en-USJournal Article2012-12-1210.1007/s00029-011-0078-7