论文标题

Dynkin Quivers的全部特殊收集和稳定条件

Full exceptional collections and stability conditions for Dynkin quivers

论文作者

Otani, Takumi

论文摘要

对于三角形类别的稳定性条件$σ$,Dimitrov-Katzarkov引入了$σ$ - 概述的概念。在本文中,我们研究了一个无环颤抖的派生类别中的全$σ$ - 概费。特别是,我们证明,在Dynkin Quiver的派生类别上的任何稳定条件$σ$都承认了一个完整的$σ$ - 外部收藏。

For a stability condition $σ$ on a triangulated category, Dimitrov-Katzarkov introduced the notion of a $σ$-exceptional collection. In this paper, we study full $σ$-exceptional collections in the derived category of an acyclic quiver. In particular, we prove that any stability condition $σ$ on the derived category of a Dynkin quiver admits a full $σ$-exceptional collection.

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