Stacks of twisted modules and integral transforms
Algebraic Geometry
2015-05-12 v2
Abstract
Stacks were introduced by Grothendieck and Giraud and are, roughly speaking, sheaves of categories. Kashiwara developed the theory of twisted modules, which are objects of stacks locally equivalent to stacks of modules over sheaves of rings. In this paper we recall these notions, and we develop the formalism of operations for stacks of twisted modules. As an application, we state a twisted version of an adjunction formula which is of use in the theory of integral transforms for sheaves and D-modules.
Keywords
Cite
@article{arxiv.math/0307387,
title = {Stacks of twisted modules and integral transforms},
author = {Andrea D'Agnolo and Pietro Polesello},
journal= {arXiv preprint arXiv:math/0307387},
year = {2015}
}
Comments
latex, 43 pages