论文标题
通过总稳定性条件的心脏的Dynkin Quivers模块类别的几何模型
Geometric model for module categories of Dynkin quivers via hearts of total stability conditions
论文作者
论文摘要
我们通过$ \ operatatorNornAme {mod} \ m operatateRearnAme {mod} {mod} {mathbf {k} q $在有界衍生的类别上的总稳定性类别的心脏来得出一个模块类别$ \ perialatorname $ \ perialatorname {mod} \ mathbf {k} q $。作为一个应用程序，我们证明了Reineke的猜想，即$ \ operatatorName {mod} \ mathbf {k} q $使任何indecossable稳定。
We derive a geometric model for the module category $\operatorname{mod} \mathbf{k} Q$ of a Dynkin quiver $Q$ via the heart of a total stability condition on the bounded derived category of $\operatorname{mod} \mathbf{k} Q$. As an application, we prove Reineke's conjecture that there is a stability function on $\operatorname{mod} \mathbf{k} Q$ making any indecomposables stable.
