On the derived category of a toric stack bundle
Qian Chao, Jiun-Cheng Chen, Hsian-Hua Tseng
TL;DR
This paper investigates the derived category of torus-equivariant coherent sheaves on split toric stack bundles, establishing a semi-orthogonal decomposition that advances understanding of their categorical structure.
Contribution
It introduces a semi-orthogonal decomposition for the derived category of toric stack bundles, a novel structural insight in this area.
Findings
Semi-orthogonal decomposition of the derived category
Properties of torus-equivariant coherent sheaves
Enhanced understanding of categorical structures in toric stacks
Abstract
We establish some properties of the derived category of torus-equivariant coherent sheaves on a split toric stack bundle. Our main result is a semi-orthogonal decomposition of such a category.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory