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On the quasi-hereditary property for staggered sheaves
Author(s):
Pramod
N.
Achar
Journal:
Trans. Amer. Math. Soc.
362
(2010),
4735-4753.
MSC (2010):
Primary 14F05, 18G05
Posted:
April 21, 2010
MathSciNet review:
2645048
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Abstract:
Let  be an algebraic group over an algebraically closed field, acting on a variety  with finitely many orbits. Staggered sheaves are certain complexes of  -equivariant coherent sheaves on  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.
References:
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Additional Information:
Pramod
N.
Achar
Affiliation:
Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
Email:
pramod@math.lsu.edu
DOI:
10.1090/S0002-9947-10-04996-2
PII:
S 0002-9947(10)04996-2
Received by editor(s):
October 16, 2008
Posted:
April 21, 2010
Additional Notes:
The author was partially supported by NSF Grant DMS-0500873.
Copyright of article:
Copyright
2010,
American Mathematical Society
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