Baric Structures on Triangulated Categories and Coherent Sheaves

  title={Baric Structures on Triangulated Categories and Coherent Sheaves},
  author={Pramod N. Achar and DAVID TREUMANN},
We introduce the notion of a baric structure on a triangulated category, as an abstraction of S. Morel’s weight truncation formalism for mixed `-adic sheaves. We study these structures on the derived category Db 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… CONTINUE READING

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