Weighted Projective Lines as Fine Moduli Spaces of Quiver Representations |
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Authors: | Tarig Abdelgadir |
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Institution: | School of Mathematics , Korea Institute for Advanced Study , Seoul , South Korea |
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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. |
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Keywords: | Moduli space Quiver representation Weighted projective line |
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