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# Normality of Maximal Orbit Closures for Euclidean Quivers

Published:2012-07-17
Printed: Dec 2012
• Grzegorz Bobiński,
Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87-100 Toruń, Poland
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## Abstract

Let $\Delta$ be an 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: normal variety, complete intersection, Euclidean quiver, concealed-canonical algebra
 MSC Classifications: 16G20 - Representations of quivers and partially ordered sets 14L30 - Group actions on varieties or schemes (quotients) [See also 13A50, 14L24, 14M17]

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