Staggered sheaves on partial flag varieties |
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Authors: | Pramod N. Achar Daniel S. Sage |
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Affiliation: | Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA |
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Abstract: | Staggered t-structures are a class of t-structures on derived categories of equivariant coherent sheaves. In this Note, we show that the derived category of coherent sheaves on a partial flag variety, equivariant for a Borel subgroup, admits a staggered t-structure with the property that all objects in its heart have finite length. As a consequence, we obtain a basis for its equivariant K-theory consisting of simple staggered sheaves. To cite this article: P.N. Achar, D.S. Sage, C. R. Acad. Sci. Paris, Ser. I 347 (2009). |
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