2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/129548In this paper we use A-infinity modules to study the derived category of a finite dimensional algebra over an algebraically closed field. We study varieties parameterising A-infinity modules. These varieties carry an action of an algebraic group such that orbits correspond to quasi-isomorphism classes of complexes in the derived category. We describe orbit closures in these varieties, generalising a result of Zwara and Riedtmann for modules.18 pagesRepresentation Theory18E30 (Primary) 14L30, 16G10 (Secondary)text