Irreducible components of varieties of modules

2001/03/15 by William Crawley-Boevey, Crawley-Boevey, William, Jan Schröer +1 · 1 citation
Mathematics · #13D10 #14M99 #16D70 #16G20 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA) #math.AC #math.AG #math.RA #msc:13D10 #msc:14M99 #msc:16D70 #msc:16G20

paper · pdf · doi:10.48550/arxiv.math/0103100

20 pages; an application to tilted algebras has been added

openalex publication_date 2001/03/15 · arxiv created 2002/02/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Finite dimensional representations of algebras

Cited by

• Degenerations of families of bands and strings for gentle algebras

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