Full Exceptional Collections and Stability Conditions for Dynkin Quivers

For a stability condition σ on a triangulated category, Dimitrov–Katzarkov introduced the notion of a σ-exceptional collection. In this paper, we study full σ-exceptional collections in the derived category of an acyclic quiver. In particular, we prove that any stability condition σ on the derived category of a Dynkin quiver admits a full σ-exceptional collection.