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- W4300647613 abstract "We study the cluster category of a canonical algebra A in terms of the hereditary category of coherent sheaves over the corresponding weighted projective line X. As an application we determine the automorphism group of the cluster category and show that the cluster-tilting objects form a cluster structure in the sense of Buan-Iyama-Reiten-Scott. The tilting graph of the sheaf category always coincides with the tilting or exchange graph of the cluster category. We show that this graph is connected if the Euler characteristic of X is non-negative, or equivalently, if A is of tame (domestic or tubular) representation type." @default.
- W4300647613 created "2022-10-03" @default.
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- W4300647613 date "2008-01-29" @default.
- W4300647613 modified "2023-10-14" @default.
- W4300647613 title "The cluster category of a canonical algebra" @default.
- W4300647613 doi "https://doi.org/10.48550/arxiv.0801.4540" @default.
- W4300647613 hasPublicationYear "2008" @default.
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