Generalized quiver varieties and triangulated categories

  title={Generalized quiver varieties and triangulated categories},
  author={Sarah Scherotzke},
  journal={Mathematische Zeitschrift},
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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