Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The cluster category of a canonical algebra   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.

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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
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The categories of this paper are: cs
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: cond-mat