On the quasi-hereditary property for staggered sheaves

Abstract

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 sheaves on X that seem to possess many remarkable properties. In this paper, we construct "standard" and "costandard" objects in the category of staggered sheaves, and we prove that that category has enough projectives and injectives.

18 pages

References in corpus (4)

• Baric structures on triangulated categories and coherent sheaves
• Purity and decomposition theorems for staggered sheaves
• Staggered t-structures on toric varieties
• Staggered sheaves on partial flag varieties

Cited by in corpus (1)

• Introduction to staggered sheaves