Birge Huisgen-Zimmermann Department of Mathematics University of California at Santa Barbara Santa Barbara, CA 93106 Klaus Bongartz FB Mathematik Universitaet Gesamthochschule Wuppertal D-42119 Wuppertal, Germany The geometry of uniserial representations of algebras II. Alternate viewpoints and uniqueness J. Pure Appl. Algebra 157 (2001) 23-32