English

Equivariant exceptional collections on smooth toric stacks

Algebraic Geometry 2020-01-08 v2

Abstract

We study the bounded derived categories of torus-equivariant coherent sheaves on smooth toric varieties and Deligne-Mumford stacks. We construct and describe full exceptional collections in these categories. We also observe that these categories depend only on the PL homeomorphism type of the corresponding simplicial complex.

Keywords

Cite

@article{arxiv.1806.08281,
  title  = {Equivariant exceptional collections on smooth toric stacks},
  author = {Lev Borisov and Dmitri Orlov},
  journal= {arXiv preprint arXiv:1806.08281},
  year   = {2020}
}

Comments

updated version, 34 pages

R2 v1 2026-06-23T02:37:25.134Z