Dualizing Complexes and Perverse Sheaves on Noncommutative Ringed Schemes

Simple item page
dc.creatorYekutieli, Amnon
dc.creatorZhang, James J.
dc.date2002-11-20
dc.date2006-04-06
dc.date.accessioned2026-07-07T06:35:32Z
dc.date.available2026-07-07T06:35:32Z
dc.descriptionA quasi-coherent ringed scheme is a pair (X,A), where X is a scheme, and A is a noncommutative quasi-coherent O_X-ring. We introduce dualizing complexes over quasi-coherent ringed schemes and study their properties. For a separated differential quasi-coherent ringed scheme of finite type over a field, we prove existence and uniqueness of a rigid dualizing complex. In the proof we use the theory of perverse coherent sheaves in order to glue local pieces of the rigid dualizing complex into a global complex.
dc.description36 pages, AMSLaTeX. Final version, to appear in Selecta Math. (minor changes)
dc.identifierhttps://arxiv.org/abs/math/0211309
dc.identifierhttp://arxiv.org/abs/math/0211309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99821
dc.subjectAlgebraic Geometry
dc.subjectRings and Algebras
dc.subject(MSC 2000) Primary: 14A22; Secondary: 14F05, 14J32, 16E30, 16D90, 18E30
dc.titleDualizing Complexes and Perverse Sheaves on Noncommutative Ringed Schemes
dc.typetext

Files

Collections

arXiv