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Abstract: In this paper we use A-infinity modules to study the derived category of afinite dimensional algebra over an algebraically closed field. We studyvarieties parameterising A-infinity modules. These varieties carry an action ofan algebraic group such that orbits correspond to quasi-isomorphism classes ofcomplexes in the derived category. We describe orbit closures in thesevarieties, generalising a result of Zwara and Riedtmann for modules.



Author: Bernt Tore Jensen, Dag Madsen, Xiuping Su

Source: https://arxiv.org/







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