Baric structures on triangulated categories and coherent sheaves

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We 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.
37 pages

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Algebraic Geometry, Representation Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/167610

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0808.3209
 http://arxiv.org/abs/0808.3209

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arXiv