Desingularization of Quiver Grassmannians for Gentle Algebras
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- 作者：Xinhong Chen ; Ming Lu
- 关键词：Desingularization ; Quiver Grassmannians ; Cohen ; Macaulay Auslander algebra ; Gentle algebra
- 刊名：Algebras and Representation Theory
- 出版年：2016
- 出版时间：December 2016
- 年：2016
- 卷：19
- 期：6
- 页码：1321-1345
- 全文大小：1,051 KB
- 刊物主题：Commutative Rings and Algebras; Associative Rings and Algebras; Non-associative Rings and Algebras;
- 出版者：Springer Netherlands
- ISSN：1572-9079
- 卷排序：19
文摘
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.