Differential Complexes and Stratified Pro-Modules
Algebraic Geometry
2007-10-03 v1
Abstract
In this paper we introduce the category of stratified Pro-modules and the notion of induced object in this category. We propose a translation of a Morihiko Saito equivalence result using the dual language of Pro-objects. So we prove an equivalence between the derived category of stratified Pro-modules and the category of Pro-differential complexes. We also supply a comparison with the notion of Crystal in Pro-module (introduced by P. Deligne in 1960).
Cite
@article{arxiv.0710.0448,
title = {Differential Complexes and Stratified Pro-Modules},
author = {Luisa Fiorot},
journal= {arXiv preprint arXiv:0710.0448},
year = {2007}
}
Comments
16 pages