Weighted projective lines as fine moduli spaces of quiver representations
Algebraic Geometry
2014-09-25 v1
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.
Keywords
Cite
@article{arxiv.1409.7050,
title = {Weighted projective lines as fine moduli spaces of quiver representations},
author = {Tarig Abdelgadir and Kazushi Ueda},
journal= {arXiv preprint arXiv:1409.7050},
year = {2014}
}
Comments
14 pages. To appear in Communications in Algebra