Irreducible components of varieties of modules
Algebraic Geometry
2007-05-23 v3 Commutative Algebra
Rings and Algebras
Abstract
We prove some basic results about irreducible components of varieties of modules for an arbitrary finitely generated associative algebra. Our work generalizes results of Kac and Schofield on representations of quivers, but our methods are quite different, being based on deformation theory.
Keywords
Cite
@article{arxiv.math/0103100,
title = {Irreducible components of varieties of modules},
author = {William Crawley-Boevey and Jan Schröer},
journal= {arXiv preprint arXiv:math/0103100},
year = {2007}
}
Comments
20 pages; an application to tilted algebras has been added