Glasgow Mathematical Journal

Table of Contents - September 2012 - Volume 54, Issue 03  

Research Article

ON THE GEOMETRY OF ORBIT CLOSURES FOR REPRESENTATION-INFINITE ALGEBRAS

CALIN CHINDRISa1

a1 Mathematics Department, University of Missouri, Columbia, MO 65211, USA e-mail: chindrisc@missouri.edu

Abstract

For the Kronecker algebra, Zwara found in [14] an example of a module whose orbit closure is neither unibranch nor Cohen-Macaulay. In this paper, we explain how to extend this example to all representation-infinite algebras with a preprojective component.

(Received August 05 2011)

(Revised October 18 2011)

(Accepted October 19 2011)

(Online publication March 30 2012)

2000 Mathematics Subject Classification

  • Primary 16G30;
  • Secondary 16G20;
  • 16R30