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arXiv · 2210.08479

Full exceptional collections and stability conditions for Dynkin quivers

Takumi Otani
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Abstract

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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BibTeXRIS

Takumi Otani. 2022-10-25. Full exceptional collections and stability conditions for Dynkin quivers. https://arxiv.org/abs/2210.08479

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