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arxiv: 0705.3948 · v1 · submitted 2007-05-27 · 🧮 math.RT

Degeneration of A-infinity modules

classification 🧮 math.RT
keywords modulesa-infinityvarietiescategoryderivedactionalgebraalgebraic
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In 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.

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