English

On the derived category of a toric stack bundle

Algebraic Geometry 2025-01-24 v2

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.

Keywords

Cite

@article{arxiv.2407.21288,
  title  = {On the derived category of a toric stack bundle},
  author = {Qian Chao and Jiun-Cheng Chen and Hsian-Hua Tseng},
  journal= {arXiv preprint arXiv:2407.21288},
  year   = {2025}
}

Comments

v1: 7 pages. v2: 7 pages, small corrections, to appear in Journal of Pure and Applied Algebra

R2 v1 2026-06-28T17:58:51.759Z