Tilting objects on some global quotient stacks

TL;DR

This paper proves the existence of tilting objects on certain global quotient stacks, providing evidence for a conjecture on the Rouquier dimension of derived categories.

Contribution

It establishes the existence of tilting objects on specific quotient stacks, advancing understanding of derived categories in algebraic geometry.

Findings

Existence of tilting objects on some global quotient stacks

Supports Orlov's conjecture on Rouquier dimension

Enhances the understanding of derived categories in algebraic geometry

Abstract

We prove the existence of tilting objects on some global quotient stacks. As a consequence we provide further evidence for a conjecture on the Rouquier dimension of derived categories formulated by Orlov.