Modules and quiver representations whose orbit closures are hypersurfaces
Volume 134 / 2014
Colloquium Mathematicum 134 (2014), 57-74
MSC: Primary 14B05; Secondary 14L30, 16G20.
DOI: 10.4064/cm134-1-2
Abstract
Let $A$ be a finitely generated associative algebra over an algebraically closed field. We characterize the finite-dimensional $A$-modules whose orbit closures are local hypersurfaces. The result is reduced to an analogous characterization for orbit closures of quiver representations obtained in Section 3.
