Quotient categories, stability conditions, and birational geometry

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dc.creatorMeinhardt, Sven
dc.creatorPartsch, Holger
dc.date2008-05-05
dc.date.accessioned2026-07-07T09:37:01Z
dc.date.available2026-07-07T09:37:01Z
dc.descriptionThis article deals with the quotient category of the category of coherent sheaves on an irreducible smooth projective variety by the full subcategory of sheaves supported in codimension greater than c. It turns out that this category has homological dimension c. As an application of this, we will describe the space of stability conditions on its derived category in the case c=1. Moreover, we describe all exact equivalences between these quotient categories in this particular case which is closely related to classification problems in birational geometry.
dc.description40 pages
dc.identifierhttps://arxiv.org/abs/0805.0492
dc.identifierhttp://arxiv.org/abs/0805.0492
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160319
dc.subjectAlgebraic Geometry
dc.subject18E30
dc.titleQuotient categories, stability conditions, and birational geometry
dc.typetext

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