Title

Staggered sheaves on partial flag varieties

Document Type

Article

Publication Date

2-1-2009

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). © 2009 Académie des sciences.

Publication Source (Journal or Book title)

Comptes Rendus Mathematique

First Page

139

Last Page

142

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