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Desingularizations of quiver Grassmannians via graded quiver varieties
Authors:Bernhard Keller  Sarah Scherotzke
Affiliation:1. Université Paris Diderot – Paris 7, Institut Universitaire de France, UFR de Mathématiques, Institut de Mathématiques de Jussieu, UMR 7586 du CNRS, Case 7012, Bâtiment Sophie Germain, 75205 Paris Cedex 13, France;2. University of Bonn, Mathematisches Institut, Endenicher Allee 60, 53115 Bonn, Germany
Abstract:Inspired by recent work of Cerulli, Feigin and Reineke on desingularizations of quiver Grassmannians of representations of Dynkin quivers, we obtain desingularizations in considerably more general situations and in particular for Grassmannians of modules over iterated tilted algebras of Dynkin type. Our desingularization map is constructed from Nakajima's desingularization map for graded quiver varieties.
Keywords:Quiver Grassmannians   Nakajima quiver varieties
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