%0 Journal Article
%T Resolutions of defining ideals of orbit closures for quivers of type $A_3$
%A Kavita Sutar
%J Mathematics
%D 2011
%I arXiv
%X We investigate the properties of coordinate rings of orbit closures for quivers of type $A_3$ by considering the desingularization given by Reineke. We construct explicit minimal free resolutions of the defining ideals of the orbit closures thus giving us a minimal set of generators for the defining ideal. The resolution allows us to read off some geometric properties of the orbit closure. In addition, we give a characterization for the orbit closure to be Gorenstein.
%U http://arxiv.org/abs/1111.1179v1