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...nds to a morphism from ΣP2 to S2 in (Db(Q))op. But such a morphism must vanish. Therefore, p′ and p vanish. Proof of Proposition 4.2.1. We shall use the notions of Nakajima categories in the sense of =-=[KS13]-=-. Let R the mesh category associated with a generic q ∈ C∗ and Rǫ the mesh category associated with ǫ. Let S denote the singular Nakajima category which is generated by the objects σx, x ∈ Ind Rep(Q),...

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...ng [12]. In [6], they link these desingularizations to a construction by Hernandez–Leclerc [17], which has been generalized by Leclerc–Plamondon [23] and further generalized by the present authors in =-=[20]-=-. In this article, we build on [20] to construct desingularizations of quiver Grassmannians in much more general situations and in particular for all modules over the repetitive algebra of an arbitrar...

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...ver varieties have recently been used by Qin to realize a geometric construction of quantum groups [42]. Motivated by the construction of monoidal categorifications of Cluster algebras, we studied in =-=[27]-=- properties of graded quiver varieties. In this work we introduce generalized quiver varieties including the case of classical and cyclic quiver varieties and show how our results and general properti...

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...ng [12]. In [6], they link these desingularizations to a construction by Hernandez–Leclerc [17], which has been generalized by Leclerc–Plamondon [23] and further generalized by the present authors in =-=[20]-=-. In this article, we build on [20] to construct desingularizations of quiver Grassmannians in much more general situations and in particular for all modules over the repetitive algebra of an arbitrar...