Analytic moduli spaces of simple (co)framed sheaves

dc.creatorFlenner, H.
dc.creatorLübke, M.
dc.date2001-02-15
dc.date.accessioned2026-07-07T04:40:10Z
dc.date.available2026-07-07T04:40:10Z
dc.descriptionLet X be a complex space and F a coherent O_X-module. A F-(co)framed} sheaf on X is a pair (E,f) with a coherent O_X-module E and a morphism of coherent sheaves f : F -> E (resp. f : E -> F). Two such pairs (E,f) and (E',f') are said to be isomorphic if there exists an isomorphism of sheaves g : E -> E' such that gof = f' (resp. f'og = f). A pair (E,f) is called simple if its only automorphism is the identity on E. In this note we prove a representability theorem in a relative framework, which implies in particular that there is a moduli space of simple F-(co)framed sheaves on a given compact complex space X.
dc.description9 pages, uses diagrams.tex
dc.identifierhttps://arxiv.org/abs/math/0102115
dc.identifierhttp://arxiv.org/abs/math/0102115
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60945
dc.subjectComplex Variables
dc.subjectAlgebraic Geometry
dc.subject32G13, 14D20
dc.titleAnalytic moduli spaces of simple (co)framed sheaves
dc.typetext

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