Smooth models of quiver moduli
Representation Theory
2009-04-16 v2 Algebraic Geometry
Combinatorics
Abstract
For any moduli space of stable representations of quivers, certain smooth varieties, compactifying projective space fibrations over the moduli space, are constructed. The boundary of this compactification is analyzed. Explicit formulas for the Betti numbers of the smooth models are derived. In the case of moduli of simple representations, explicit cell decompositions of the smooth models are constructed.
Cite
@article{arxiv.0706.4306,
title = {Smooth models of quiver moduli},
author = {Johannes Engel and Markus Reineke},
journal= {arXiv preprint arXiv:0706.4306},
year = {2009}
}