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arXiv:math/0103100 [math.AG]AbstractReferencesReviewsResources

Irreducible components of varieties of modules

William Crawley-Boevey, Jan Schröer

Published 2001-03-15, updated 2002-02-08Version 3

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.

Comments: 20 pages; an application to tilted algebras has been added
Categories: math.AG, math.AC, math.RA
Subjects: 13D10, 14M99, 16D70, 16G20
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