Finiteness Theorems for Deformations of Complexes

Frauke M. Bleher, Ted Chinburg

Published 2010-09-11Version 1

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.