On total stability conditions for Dynkin quivers
Representation Theory
2022-05-03 v1
Abstract
We show that for a Dynkin quiver of type with a specific orientation, the path algebra has no slope function of the form that defines a total stability condition. This gives a counterexample to a conjecture of Reineke.
Cite
@article{arxiv.2205.00947,
title = {On total stability conditions for Dynkin quivers},
author = {Rene Marczinzik},
journal= {arXiv preprint arXiv:2205.00947},
year = {2022}
}