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Desingularization of Quiver Grassmannians for Gentle Algebras

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In (Cerulli Irelli et al., Adv. Math. 245(1) 182–207 2013), Cerulli Irelli-Feigin-Reineke construct a desingularization of quiver Grassmannians for Dynkin quivers. Following them, a desingularization of arbitrary quiver Grassmannians for finite dimensional Gorenstein projective modules of 1-Iwanaga-Gorenstein gentle algebras is constructed in terms of quiver Grassmannians for their Cohen-Macaulay Auslander algebras.

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Authors and Affiliations

  1. Department of Mathematics, Southwest Jiaotong University, Chengdu, 610031, People’s Republic of China

    Xinhong Chen

  2. Department of Mathematics, Sichuan University, Chengdu, 610064, People’s Republic of China

    Ming Lu

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  1. Xinhong Chen
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  2. Ming Lu
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Correspondence to Ming Lu.

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Presented by Henning Krause.

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Chen, X., Lu, M. Desingularization of Quiver Grassmannians for Gentle Algebras. Algebr Represent Theor 19, 1321–1345 (2016). https://doi.org/10.1007/s10468-016-9620-9

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