# On maximal green sequence for quivers arising from weighted projective lines

@inproceedings{Fu2021OnMG, title={On maximal green sequence for quivers arising from weighted projective lines}, author={Changjian Fu and Shengfei Geng}, year={2021} }

ABSTRACT. We investigate the existence and non-existence of maximal green sequences for quivers arising from weighted projective lines. Let Q be the Gabriel quiver of the endomorphism algebra of a basic cluster-tilting object in the cluster category CX of a weighted projective line X. It is proved that there exists a quiver Q in the mutation equivalence class Mut(Q) of Q such that Q admits a maximal green sequence. Furthermore, there is a quiver in Mut(Q) which does not admit a maximal green…

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