{ "id": "1009.2126", "version": "v1", "published": "2010-09-11T00:59:21.000Z", "updated": "2010-09-11T00:59:21.000Z", "title": "Finiteness Theorems for Deformations of Complexes", "authors": [ "Frauke M. Bleher", "Ted Chinburg" ], "comment": "25 pages. This paper is connected to the paper arXiv:0901.0101", "journal": "Ann. Institut Fourier (Grenoble) 63 (2013), 573-612", "doi": "10.5802/aif.2770", "categories": [ "math.NT" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2010-09-11T00:59:21.000Z" } ], "analyses": { "subjects": [ "11F80", "20E18", "18E30" ], "keywords": [ "finiteness theorem", "sufficient conditions", "profinite group", "positive characteristic", "strictly perfect" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2010arXiv1009.2126B" } } }