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Normality of Maximal Orbit Closures for Euclidean Quivers

Published online by Cambridge University Press:  20 November 2018

Grzegorz Bobiński
Grzegorz Bobiński*
Affiliation:
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland email: [email protected]
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Abstract

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Let $\Delta $ be a Euclidean quiver. We prove that the closures of the maximal orbits in the varieties of representations of $\Delta $ are normal and Cohen–Macaulay (even complete intersections). Moreover, we give a generalization of this result for the tame concealed-canonical algebras.

Keywords

16G2014L30normal varietycomplete intersectionEuclidean quiverconcealed-canonical algebra
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 64 , Issue 6 , 01 December 2012 , pp. 1222 - 1247
Copyright
Copyright © Canadian Mathematical Society 2012

References

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