English

A descent criterion for equivalences between equivariant derived categories

Algebraic Geometry 2019-02-14 v2

Abstract

We investigate equivalences between the categories of perfects complexes of the quotients of two smooth projective schemes by the action of a finite group. As a result we give a necessary and sufficient condition for an equivalence between the equivariant derived categories to descend to the categories of perfect complexes.

Keywords

Cite

@article{arxiv.1810.13290,
  title  = {A descent criterion for equivalences between equivariant derived categories},
  author = {Francesco Amodeo and Riccardo Moschetti and Mattia Ornaghi},
  journal= {arXiv preprint arXiv:1810.13290},
  year   = {2019}
}

Comments

Corrected mistakes in the definitions, results slightly improved

R2 v1 2026-06-23T04:59:06.242Z