English

Serre functors of residual categories via hybrid models

Algebraic Geometry 2023-05-24 v2

Abstract

In this short note we observe that the Serre functor on the residual category of a complete intersection can be easily described in the framework of hybrid models. Using this description we recover some recent results of Kuznetsov and Perry.

Keywords

Cite

@article{arxiv.2205.04793,
  title  = {Serre functors of residual categories via hybrid models},
  author = {Federico Barbacovi and Ed Segal},
  journal= {arXiv preprint arXiv:2205.04793},
  year   = {2023}
}

Comments

v1:9 pages. v2: We thank the referee for pointing out that our Prop. 2.1.2 had already appeared in a paper of Favero-Kelly, with an identical proof. To appear in Bull. LMS