Extended deformation functors

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dc.creatorManetti, Marco
dc.date1999-10-14
dc.date2001-03-16
dc.date.accessioned2026-07-07T05:31:09Z
dc.date.available2026-07-07T05:31:09Z
dc.descriptionWe introduce a precise notion, in terms of few Schlessinger's type conditions, of extended deformation functors which is compatible with most of recent ideas in the Derived Deformation Theory (DDT) program and with geometric examples. With this notion we develop the (extended) analogue of Schlessinger and obstruction theories. The inverse mapping theorem holds for natural transformations of extended deformation functors and all such functors with finite dimensional tangent space are prorepresentable in the homotopy category.
dc.descriptionContains the previously announced part II
dc.identifierhttps://arxiv.org/abs/math/9910071
dc.identifierhttp://arxiv.org/abs/math/9910071
dc.identifierInternat. Math. Res. Notices 14 (2002) 719-756.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79239
dc.subjectAlgebraic Geometry
dc.subjectCommutative Algebra
dc.subjectQuantum Algebra
dc.subject13D10;14B10;14D15
dc.titleExtended deformation functors
dc.typetext

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