Stacks of twisted modules and integral transforms

Details Stacks of twisted modules and integral transforms Stacks of twisted modules and integral transforms

2003-07-30

arxiv.org/abs/math/0307387v2

in "Geometric Aspects of Dwork's Theory", Vol. I, de Gruyter, 2004, pp. 463--507

Mathematics

Algebraic Geometry

latex, 43 pages

Scientific paper

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.

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