Ping He, Yu Zhou, Bin Zhu
Published 2020-04-23Version 1
In this article, we realize skew-gentle algebras as skew-tiling algebras associated to admissible partial triangulations of punctured marked surfaces. Based on this, we establish a bijection between tagged permissible curves and certain indecomposable modules, interpret the Auslander-Reiten translation via the tagged rotation, and show intersection-dimension formulas. As an application, we classify support $\tau$-tilting modules for skew-gentle algebras.
Comments: 38 pages, 24 figures
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