On the structure of semistable rigid sheaves on algebraic surfaces

dc.creatorKarpov, Boris V.
dc.date1995-11-27
dc.date.accessioned2026-07-07T09:06:39Z
dc.date.available2026-07-07T09:06:39Z
dc.descriptionLet S be a smooth projective surface, K be the canonical class of S and H be an ample divisor such that H.K<0 . In this paper we prove that for any rigid (Ext^1(F,F)=0) semistable sheaf F in the sense of Mumford--Takemoto stability w.r.t. H there exists an exceptional collection (E_1,...,E_n) of sheaves on S such that F can be constructed from {E_i} by a finite number of extensions.
dc.descriptionLaTeX v 2.09. 8 pages
dc.identifierhttps://arxiv.org/abs/alg-geom/9511017
dc.identifierhttp://arxiv.org/abs/alg-geom/9511017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150089
dc.subjectAlgebraic Geometry
dc.titleOn the structure of semistable rigid sheaves on algebraic surfaces
dc.typetext

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