The Geometric Model of Gentle One-Cycle Algebras
The Geometric Model of Gentle One-Cycle Algebras
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DOI：
10.1007/s40840-021-01078-y
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发表时间：
2021-01
影响因子：
1.2
通讯作者：
Yu-Zhe Liu;Chao Zhang
中科院分区：
文献类型：
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作者：
Yu-Zhe Liu;Chao Zhang
本文主要研究了Opper、Plamondon和Schroll给出的一类温和单环代数的推导类的几何模型。我们提供了一个与他们的论文略有不同的曲面上的aag -不变量的实现，并在推导的等价条件下，推导出平缓单循环代数的标记曲面的标准形式。作为应用，我们分类了那些导数唯一的平缓一环代数。
In this paper, we mainly study the geometric model of the derived category of gentle one-cycle algebras provided by Opper, Plamondon and Schroll. We provide a realization of AAG-invariant on the surface, which is slightly different from the realization in their paper, and deduce a standard form of marked surfaces of gentle one-cycle algebras under derived equivalences. As an application, we classify those derived-unique gentle one-cycle algebras.