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A corollary of the b-function lemma.

Authors :
Beilinson, A.
Gaitsgory, D.
Source :
Selecta Mathematica, New Series. Jun2012, Vol. 18 Issue 2, p319-327. 9p.
Publication Year :
2012

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[ s]-module $${M\otimes ``{f^{s}}''}$$ . The goal of this note is to describe all D[ s] submodules $${N\hookrightarrow j_*(M\otimes ``{f^{s}}'')}$$ such that $${j^*(N)\simeq M\otimes ``{f^{s}}''}$$ . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10221824
Volume :
18
Issue :
2
Database :
Academic Search Index
Journal :
Selecta Mathematica, New Series
Publication Type :
Academic Journal
Accession number :
76339835
Full Text :
https://doi.org/10.1007/s00029-011-0078-7