Finiteness Theorems for Deformations of Complexes

Details Finiteness Theorems for Deformations of Complexes Finiteness Theorems for Deformations of Complexes

2010-09-11

arxiv.org/abs/1009.2126v1

Mathematics

Number Theory

25 pages. This paper is connected to the paper arXiv:0901.0101

Scientific paper

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.

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