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The Avrunin-Scott theorem for quantum complete intersections. - MaRDI portal

The Avrunin-Scott theorem for quantum complete intersections. (Q731227)

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The Avrunin-Scott theorem for quantum complete intersections.
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    The Avrunin-Scott theorem for quantum complete intersections. (English)
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    2 October 2009
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    \textit{G. S. Avrunin} and \textit{L. L. Scott} [in Invent. Math. 66, 277-286 (1982; Zbl 0489.20042)] proved that the support variety of a module over a group algebra \(K[(\mathbb Z/\mathbb Z_p)^n]\) of an elementary Abelian group, is isomorphic to its rank variety. Here, the authors prove a similar result for modules over a quantum complete intersection -- a quantum analog of \(K[(\mathbb Z/\mathbb Z_p)^n]\).
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    rank varieties
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    support varieties
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    quantum complete intersections
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