On the quasi-hereditary property for staggered sheaves

Achar, Pramod

doi:10.1090/S0002-9947-10-04996-2

On the quasi-hereditary property for staggered sheaves
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by Pramod N. Achar PDF

Trans. Amer. Math. Soc. 362 (2010), 4735-4753 Request permission

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.

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