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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Geometry of regular modules over canonical algebras


Author: Grzegorz Bobinski
Journal: Trans. Amer. Math. Soc. 360 (2008), 717-742
MSC (2000): Primary 16G20; Secondary 14L30
Published electronically: August 30, 2007
MathSciNet review: 2346469
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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 Toruń, Poland
Email: gregbob@mat.uni.torun.pl

DOI: http://dx.doi.org/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
Published electronically: August 30, 2007
Dedicated: Dedicated to the memory of Professor Stanisław Balcerzyk
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.