Baric Structures on Triangulated Categories and Coherent Sheaves
2010; Oxford University Press; Linguagem: Inglês
10.1093/imrn/rnq226
ISSN1687-0247
AutoresPramod N. Achar, David Treumann,
Tópico(s)Advanced Algebra and Geometry
ResumoWe 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 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 introduced by Achar arise in this way.
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