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arXiv · 0705.3948

Degeneration of A-infinity modules

Bernt Tore Jensen·Dag Madsen·Xiuping Su
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Abstract

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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BibTeXRIS

Bernt Tore Jensen, Dag Madsen, Xiuping Su. 2007-05-27. Degeneration of A-infinity modules. https://arxiv.org/abs/0705.3948

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