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- W4286381963 abstract "We investigate the existence and non-existence of maximal green sequences for quivers arising from weighted projective lines. Let $Q$ be the Gabreil quiver of the endomorphism algebra of a basic cluster-tilting object in the cluster category $mathcal{C}_mathbb{X}$ of a weighted projective line $mathbb{X}$. It is proved that there exists a quiver $Q'$ in the mutation equivalence class $operatorname{Mut}(Q)$ such that $Q'$ admits a maximal green sequence. On the other hand, there is a quiver in $operatorname{Mut}(Q)$ which does not admit a maximal green sequence if and only if $mathbb{X}$ is of wild type." @default.
- W4286381963 created "2022-07-22" @default.
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- W4286381963 date "2021-06-13" @default.
- W4286381963 modified "2023-09-28" @default.
- W4286381963 title "On maximal green sequence for quivers arising from weighted projective lines" @default.
- W4286381963 doi "https://doi.org/10.48550/arxiv.2106.06985" @default.
- W4286381963 hasPublicationYear "2021" @default.
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