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Desingularization of Quiver Grassmannians via Nakajima Categories
Authors:Sarah Scherotzke
Affiliation:1.University of Bonn, Mathematisches Institut,Bonn,Germany
Abstract:In this paper, we show that generalized Nakajima Categories provide a framework to construct a desingularization of quiver Grassmannians for self-injective algebras of finite representation type. Furthermore, we show that all standard Frobenius models of orbit categories of the bounded derived category considered in Keller, Documenta Math. 10: 551–581, 2005 are equivalent to proj ??, the finitely generated projective modules of the regular Nakajima category ??.
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