Staggered t-structures on derived categories of equivariant coherent sheaves

Details Staggered t-structures on derived categories of equivariant coherent sheaves Staggered t-structures on derived categories of equivariant coherent sheaves

2007-09-10

arxiv.org/abs/0709.1300v2

Mathematics

Representation Theory

43 pages; corrected an error regarding s-structures on closed subschemes; expanded the review of equivariant derived categorie

Scientific paper

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.

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