# A Corollary of the B-function Lemma

 Title: A Corollary of the B-function Lemma Author: Beilinson, Alexander; Gaitsgory, Dennis Note: Order does not necessarily reflect citation order of authors. Citation: Beilinson, Alexander, and Dennis Gaitsgory. 2011. A corollary of the b-function lemma. Selecta Mathematica, ns., 18(2): 319-327. Full Text & Related Files: 0810.1504v2.pdf (130.7Kb; PDF) 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 $$j^*(N)\simeq M\otimes "f^s"$$. Published Version: doi://10.1007/s00029-011-0078-7 Other Sources: http://arxiv.org/abs/0810.1504v2 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10043336 Downloads of this work: