Connections for weighted projective lines
Algebraic Geometry
2009-04-23 v1
Abstract
We introduce a notion of a connection on a coherent sheaf on a weighted projective line (in the sense of Geigle and Lenzing). Using a theorem of Huebner and Lenzing we show, under a mild hypothesis, that if one considers coherent sheaves equipped with such a connection, and one passes to the perpendicular category to a nonzero vector bundle without self-extensions, then the resulting category is equivalent to the category of representations of a deformed preprojective algebra.
Cite
@article{arxiv.0904.3430,
title = {Connections for weighted projective lines},
author = {William Crawley-Boevey},
journal= {arXiv preprint arXiv:0904.3430},
year = {2009}
}
Comments
12 pages