English

Note on the Bondal-Orlov Functors for Toric DM Stacks

Algebraic Geometry 2016-09-16 v1

Abstract

We calculate explicit formulas for the general equivariant Bondal-Orlov functors on the localized K-theory groups for a crepant birational transformation of toric DM stacks. We recall some facts that the Bondal-Orlov functors give equivalences on the bounded derived categories. Applying twice of these functors we get the Seidel-Thomas spherical twists for the derived category.

Keywords

Cite

@article{arxiv.1609.04431,
  title  = {Note on the Bondal-Orlov Functors for Toric DM Stacks},
  author = {Yunfeng Jiang},
  journal= {arXiv preprint arXiv:1609.04431},
  year   = {2016}
}

Comments

15 pages, comments are very welcome

R2 v1 2026-06-22T15:50:05.990Z