On quiver Grassmannians and orbit closures for representation-finite algebras
Representation Theory
2015-09-29 v2
Abstract
We show that Auslander algebras have a unique tilting and cotilting module which is generated and cogenerated by a projective-injective; its endomorphism ring is called the projective quotient algebra. For any representation-finite algebra, we use the projective quotient algebra to construct desingularizations of quiver Grassmannians, orbit closures in representation varieties, and their desingularizations. This generalizes results of Cerulli Irelli, Feigin and Reineke.
Keywords
Cite
@article{arxiv.1509.03460,
title = {On quiver Grassmannians and orbit closures for representation-finite algebras},
author = {William Crawley-Boevey and Julia Sauter},
journal= {arXiv preprint arXiv:1509.03460},
year = {2015}
}
Comments
Section 4 split into two, and a characterization of the projective quotient algebra (Theorem 5.6) added