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Geometry of regular modules over canonical algebras

Author(s): Grzegorz Bobinski
Journal: Trans. Amer. Math. Soc. 360 (2008), 717-742.
MSC (2000): Primary 16G20; Secondary 14L30
Posted: August 30, 2007
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Abstract: We classify canonical algebras such that for every dimension vector of a regular module the corresponding module variety is normal (respectively, a complete intersection). We also prove that for the dimension vectors of regular modules normality is equivalent to irreducibility.

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Additional Information:

Grzegorz Bobinski
Affiliation: Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Torun, Poland
Email: gregbob@mat.uni.torun.pl

DOI: 10.1090/S0002-9947-07-04174-8
PII: S 0002-9947(07)04174-8
Keywords: Canonical algebra, module variety, normal variety, complete intersection
Received by editor(s): May 16, 2005
Received by editor(s) in revised form: October 4, 2005
Posted: August 30, 2007
Dedicated: Dedicated to the memory of Professor Stanislaw Balcerzyk
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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