Degeneration of A-infinity modules
Representation Theory
2007-05-29 v1
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.
Cite
@article{arxiv.0705.3948,
title = {Degeneration of A-infinity modules},
author = {Bernt Tore Jensen and Dag Madsen and Xiuping Su},
journal= {arXiv preprint arXiv:0705.3948},
year = {2007}
}