On the equations and classification of toric quiver varieties
Representation Theory
2014-02-21 v1 Commutative Algebra
Algebraic Geometry
Abstract
Toric quiver varieties (moduli spaces of quiver representations) are studied. Given a quiver and a weight there is an associated quasiprojective toric variety together with a canonical embedding into projective space. It is shown that for a quiver with no oriented cycles the homogeneous ideal of this embedded projective variety is generated by elements of degree at most . In each fixed dimension up to isomorphism there are only finitely many -dimensional toric quiver varieties. A procedure for their classification is outlined.
Keywords
Cite
@article{arxiv.1402.5096,
title = {On the equations and classification of toric quiver varieties},
author = {M. Domokos and Dániel Joó},
journal= {arXiv preprint arXiv:1402.5096},
year = {2014}
}