Differential complexes and stratified pro-modules

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 Saito equivalence results (Bull Soc Math France 117:361–387, 1989) using the dual language of pro-objects. So we prove an equivalence between the derived c...

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Bibliographic Details
Published in:Mathematische Zeitschrift 2011-02, Vol.267 (1-2), p.433-452
Main Author: Fiorot, Luisa
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
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Summary: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 Saito equivalence results (Bull Soc Math France 117:361–387, 1989) 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 1970).
ISSN:0025-5874
1432-1823
DOI:10.1007/s00209-009-0628-2