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arxiv: 1109.2390 · v1 · pith:77Y6QMUGnew · submitted 2011-09-12 · 🧮 math.RT

Normality of maximal orbit closures for Euclidean quivers

classification 🧮 math.RT
keywords closuresdeltaeuclideanmaximalalgebrascohen--macaulaycompleteconcealed-canonical
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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.

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