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