Irreducible components of varieties of modules

Mathematics – Algebraic Geometry

Scientific paper

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20 pages; an application to tilted algebras has been added

Scientific paper

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.

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