论文标题
字符串和带模块的稳定空间
Stability spaces of string and band modules
论文作者
论文摘要
模块的稳定空间是使模块可半固定的向量的锥。这些锥是根据不平等的定义；在本文中，我们从考虑双重线性跨度的双重描述中获取了见解。我们展示了薄模块的稳定性空间与阶多型的稳定空间。在非薄模块的情况下，我们展示了字符串和频带模块的稳定空间与与抽象字符串和频段相对应的薄模块的稳定空间有关。我们使用它来分析频带模块的稳定空间是字符串模块的稳定空间的极限。也就是说，频带模块的稳定空间是锥体的结合，每个圆锥体是一个弦模块家族的稳定空间的极限。
The stability space of a module is the cone of vectors which make the module semistable. These cones are defined in terms of inequalities; in this paper we draw insights from considering the dual description in terms of non-negative linear spans. We show how stability spaces of thin modules are related to order polytopes. In the case of non-thin modules, we show how the stability spaces of string and band modules are related to the stability spaces of the thin modules corresponding to the abstract string and band. We use this to analyse the way in which the stability space of a band module is the limit of stability spaces of string modules. Namely, the stability space of the band module is a union of cones, each of which is the limit of the stability spaces of a family of string modules.
