On the quasi-hereditary property for staggered sheaves

Details On the quasi-hereditary property for staggered sheaves On the quasi-hereditary property for staggered sheaves

2008-09-09

arxiv.org/abs/0809.1563v1

Mathematics

Representation Theory

18 pages

Scientific paper

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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