# Generalized quiver varieties and triangulated categories

@article{Scherotzke2018GeneralizedQV,
title={Generalized quiver varieties and triangulated categories},
author={Sarah Scherotzke},
journal={Mathematische Zeitschrift},
year={2018},
volume={292},
pages={1453-1478}
}
In this paper, we introduce generalized quiver varieties which include as special cases classical and cyclic quiver varieties. The geometry of generalized quiver varieties is governed by a finitely generated algebra $${{\mathcal {P}}}$$P: the algebra $${{\mathcal {P}}}$$P is self-injective if the quiver Q is of Dynkin type, and coincides with the preprojective algebra in the case of classical quiver varieties. We show that in the Dynkin case the strata of generalized quiver varieties are in…
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