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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, the heart of this  t -structure, called the “staggered  t -structure,” is a finite-length category, 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.

Staggered t -Structures on Derived Categories of Equivariant Coherent Sheaves