Baric structures on triangulated categories and coherent sheaves

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dc.creatorAchar, Pramod N.
dc.creatorTreumann, David
dc.date2008-08-23
dc.date.accessioned2026-07-07T09:58:09Z
dc.date.available2026-07-07T09:58:09Z
dc.descriptionWe introduce the notion of a "baric structure" on a triangulated category, as an abstraction of S. Morel's weight truncation formalism for mixed l-adic sheaves. We study these structures on the derived category D_G(X) of G-equivariant coherent sheaves on a G-scheme X. Our main result shows how to endow this derived category with a family of nontrivial baric structures when G acts on X with finitely many orbits. We also describe a general construction for producing a new t-structure on a triangulated category equipped with given t- and baric structures, and we prove that the staggered t-structures on D_G(X) introduced by the first author arise in this way.
dc.description37 pages
dc.identifierhttps://arxiv.org/abs/0808.3209
dc.identifierhttp://arxiv.org/abs/0808.3209
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167610
dc.subjectAlgebraic Geometry
dc.subjectRepresentation Theory
dc.titleBaric structures on triangulated categories and coherent sheaves
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