Serre functors of residual categories via hybrid models

TL;DR

This paper describes how Serre functors on residual categories of complete intersections can be understood through hybrid models, providing a new perspective that recovers recent results by Kuznetsov and Perry.

Contribution

It introduces a framework using hybrid models to describe Serre functors on residual categories, simplifying and unifying previous results.

Findings

Serre functor on residual categories can be described via hybrid models

The approach recovers recent results of Kuznetsov and Perry

Provides a new perspective on residual categories in algebraic geometry

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.