Weighted Projective Lines as Fine Moduli Spaces of Quiver Representations
Weighted Projective Lines as Fine Moduli Spaces of Quiver Representations
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DOI：
10.1080/00927872.2013.842245
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发表时间：
2014-09
影响因子：
0.7
通讯作者：
Tarig M. H. Abdelgadir;K. Ueda
中科院分区：
文献类型：
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作者：
Tarig M. H. Abdelgadir;K. Ueda
我们通过Ringel标准代数上的模问题描述了Geigle和伦辛意义下的加权射影线。然后，我们继续研究其规范丛的全空间上的相干层的导出范畴的生成元，并表明它们很少倾斜。我们还给出了一个模的建设，这些总空间的加权投影线与三个orbifold点。
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.