Smooth Toric Quiver Varieties
Algebraic Geometry
2022-04-20 v2
Abstract
We study smoothness of toric quiver varieties. When a quiver is defined with the identity dimension vector, the corresponding quiver variety is also a toric variety. So it has both fan representation and quiver representation. We work only on quivers with canonical weight and we classify smooth such toric quiver varieties. We show that a variety corresponding to a quiver with the identity dimension vector and the canonical weight is smooth if and only if it is a product of projective spaces or their blowups.
Keywords
Cite
@article{arxiv.2111.14718,
title = {Smooth Toric Quiver Varieties},
author = {Amir Nasr},
journal= {arXiv preprint arXiv:2111.14718},
year = {2022}
}