10 citations · 28 across the 7 of their papers we have counts for
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math.RT2008★ 1 cited
On the quasi-hereditary property for staggered sheaves
Pramod N. Achar
Let G be an algebraic group over an algebraically closed field, acting on a variety X with finitely many orbits. "Staggered sheaves" are certain complexes of G-equivariant coherent…
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…