Derived categories and Kummer varieties

dc.creatorStellari, Paolo
dc.date2006-02-18
dc.date2006-12-18
dc.date.accessioned2026-07-07T07:35:39Z
dc.date.available2026-07-07T07:35:39Z
dc.descriptionWe prove that if two abelian varieties have equivalent derived categories then the derived categories of the smooth stacks associated to the corresponding Kummer varieties are equivalent as well. The second main result establishes necessary and sufficient conditions for the existence of equivalences between the twisted derived categories of two Kummer surfaces in terms of Hodge isometries between the generalized transcendental lattices of the corresponding abelian surfaces.
dc.description14 pages. Minor changes (theorem numbering slightly changed). Final version to appear in Math. Zeit
dc.identifierhttps://arxiv.org/abs/math/0602399
dc.identifierhttp://arxiv.org/abs/math/0602399
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120164
dc.subjectAlgebraic Geometry
dc.titleDerived categories and Kummer varieties
dc.typetext

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