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.References
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Additional Information
- Pramod N. Achar
- Affiliation: Department of Mathematics, Louisiana State University, Baton Rouge, Louisiana 70803
- MR Author ID: 701892
- Email: pramod@math.lsu.edu
- Received by editor(s): October 16, 2008
- Published electronically: April 21, 2010
- Additional Notes: The author was partially supported by NSF Grant DMS-0500873.
- © Copyright 2010 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 362 (2010), 4735-4753
- MSC (2010): Primary 14F05, 18G05
- DOI: https://doi.org/10.1090/S0002-9947-10-04996-2
- MathSciNet review: 2645048