Degeneration of A-infinity modules

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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.
18 pages

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Representation Theory, 18E30 (Primary) 14L30, 16G10 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/129548

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.3948
 http://arxiv.org/abs/0705.3948

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arXiv