Dimer models and exceptional collections
Algebraic Geometry
2011-05-31 v2
Abstract
We construct a full strong exceptional collection consisting of line bundles on any two-dimensional smooth toric weak Fano stack. The total endomorphism algebra of the resulting collection is isomorphic to the path algebra of a quiver with relations associated with a dimer model and a perfect matching on it.
Cite
@article{arxiv.0911.4529,
title = {Dimer models and exceptional collections},
author = {Akira Ishii and Kazushi Ueda},
journal= {arXiv preprint arXiv:0911.4529},
year = {2011}
}
Comments
18 pages, no figures. v2: added Remark 7.4 and Section 8