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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