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Staggered t-structures on derived categories of equivariant coherent sheaves

Research paper by Pramod N. Achar

Indexed on: 06 Apr '09Published on: 06 Apr '09Published in: Mathematics - Representation Theory



Abstract

Let X be a scheme, and let G be an affine group scheme acting on X. Under reasonable hypotheses on X and G, we construct a t-structure on the derived category of G-equivariant coherent sheaves that in many ways resembles the perverse coherent t-structure, but which incorporates additional information from the G-action. Under certain circumstances, this t-structure, called the "staggered t-structure," has an artinian heart, and its simple objects are particularly easy to describe. We also exhibit two small examples in which the staggered t-structure is better-behaved than the perverse coherent t-structure.