Realizability and the Avrunin-Scott theorem for higher-order support varieties

Petter Andreas Bergh; David A. Jorgensen

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arXiv · 1511.03991

Realizability and the Avrunin-Scott theorem for higher-order support varieties

Petter Andreas Bergh·David A. Jorgensen

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Abstract

We introduce higher-order support varieties for pairs of modules over a commutative local complete intersection ring, and give a complete description of which varieties occur as such support varieties. In the context of a group algebra of a finite elementary abelian group, we also prove a higher-order Avrunin-Scott-type theorem, linking higher-order support varieties and higher-order rank varieties for pairs of modules.

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Petter Andreas Bergh, David A. Jorgensen. 2015-12-02. Realizability and the Avrunin-Scott theorem for higher-order support varieties. https://arxiv.org/abs/1511.03991

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