Finiteness Theorems for Deformations of Complexes
[Théorèmes de finitude pour déformations de complexes]
Bleher, Frauke M. ; Chinburg, Ted
Annales de l'Institut Fourier, Tome 63 (2013), p. 573-612 / Harvested from Numdam
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Nous considérons les déformations de complexes bornés de G-modules, sur un corps de caractéristique positive lorsque G est un groupe profini. Nous démontrons un théorème de finitude qui fournit des conditions suffisantes pour que la déformation verselle d’un tel complexe puisse être représentée par un complexe de G-modules strictement parfait sur l’anneau de déformation verselle associé.

We consider deformations of bounded complexes of modules for a profinite group G over a field of positive characteristic. We prove a finiteness theorem which provides some sufficient conditions for the versal deformation of such a complex to be represented by a complex of G-modules that is strictly perfect over the associated versal deformation ring.

Publié le : 2013-01-01
DOI : https://doi.org/10.5802/aif.2770
Classification:  11F80,  20E18,  18E30
Mots clés: déformations verselles et universelles, catégories dérivées, questions de finitude, groupes fondamentaux modérés 
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     author = {Bleher, Frauke M. and Chinburg, Ted},
     title = {Finiteness Theorems for Deformations of Complexes},
     journal = {Annales de l'Institut Fourier},
     volume = {63},
     year = {2013},
     pages = {573-612},
     doi = {10.5802/aif.2770},
     zbl = {06193041},
     mrnumber = {3112842},
     language = {en},
     url = {http://dml.mathdoc.fr/item/AIF_2013__63_2_573_0}
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Bleher, Frauke M.; Chinburg, Ted. Finiteness Theorems for Deformations of Complexes. Annales de l'Institut Fourier, Tome 63 (2013) pp. 573-612. doi : 10.5802/aif.2770. http://gdmltest.u-ga.fr/item/AIF_2013__63_2_573_0/

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