Abstract
We describe weighted projective lines in the sense of Geigle and Lenzing by a moduli problem on the canonical algebra of Ringel. We then go on to study generators of the derived categories of coherent sheaves on the total spaces of their canonical bundles, and show that they are rarely tilting. We also give a moduli construction for these total spaces for weighted projective lines with three orbifold points.
ACKNOWLEDGMENT
This work was initiated at Max Planck Institute for Mathematics, and completed at Korea Institute for Advanced Study. We thank both institutes for hospitality and nice research environment. We also thank the anonymous referee for suggesting a number of improvements.
Notes
Communicated by G. Leuschke.
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