Staggered sheaves on partial flag varieties
Pramod N. Achar, Daniel S. Sage

TL;DR
This paper demonstrates that the derived category of equivariant coherent sheaves on partial flag varieties admits an artinian staggered t-structure, leading to a basis for equivariant K-theory from simple staggered sheaves.
Contribution
It establishes the existence of an artinian staggered t-structure on partial flag varieties and constructs a basis for their equivariant K-theory using simple staggered sheaves.
Findings
Existence of an artinian staggered t-structure on partial flag varieties.
Construction of a basis for equivariant K-theory from simple staggered sheaves.
Advancement in understanding the structure of derived categories on flag varieties.
Abstract
Staggered -structures are a class of -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 an artinian staggered -structure. As a consequence, we obtain a basis for its equivariant -theory consisting of simple staggered sheaves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic structures and combinatorial models · Algebraic Geometry and Number Theory · Advanced Algebra and Geometry
