Derived equivalences for the derived discrete algebras are standard

TL;DR

This paper proves that all derived equivalences between derived discrete algebras are standard, meaning they can be realized as derived tensor products with two-sided tilting complexes, clarifying their structural nature.

Contribution

It establishes that any derived equivalence for derived discrete algebras is necessarily standard, providing a complete characterization of such equivalences.

Findings

All derived equivalences are standard.

Derived equivalences are isomorphic to tensor products with tilting complexes.

Clarifies the structure of derived discrete algebra equivalences.

Abstract

We prove that any derived equivalence between derived discrete algebras is standard, i.e.\ is isomorphic to the derived tensor product by a two-sided tilting complex.