Basic deformation theory of smooth formal schemes

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dc.creatorPerez, Marta
dc.date2008-01-18
dc.date.accessioned2026-07-07T08:55:18Z
dc.date.available2026-07-07T08:55:18Z
dc.descriptionWe provide the main results of a deformation theory of smooth formal schemes. First we deal with the case of global lifting of smooth morphisms. We prove that the obstruction to the existence of a global lifting lies in a Ext^1 group. Then we study uniqueness and existence of lifting of smooth formal schemes. The set of isomorphism classes of smooth liftings is classified by a Ext^1 group and there exists an obstruction in a Ext^2 group whose vanishing characterizes the existence of smooth liftings.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0801.2846
dc.identifierhttp://arxiv.org/abs/0801.2846
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146229
dc.subjectAlgebraic Geometry
dc.subject14B10 (Primary); 14A15, 14B20, 14B25, 14F10 (Secondary)
dc.titleBasic deformation theory of smooth formal schemes
dc.typetext

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