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math.AG2008★ 10 cited
Purity and decomposition theorems for staggered sheaves
Pramod N. Achar, David Treumann
Two major results in the theory of l-adic mixed constructible sheaves are the purity theorem (every simple perverse sheaf is pure) and the decomposition theorem (every pure object…
math.AG2008★ 10 cited
Baric structures on triangulated categories and coherent sheaves
Pramod N. Achar, 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 l-adic sheaves. We study these stru…
math.AG2008★ 7 cited
Staggered t-structures on toric varieties
David Treumann
Achar has recently introduced a family of t-structures on the derived category of equivariant coherent sheaves on a -scheme, generalizing the perverse coherent t-structures of B…