Realizability and the Avrunin-Scott theorem for higher-order support varieties
Journal article, Peer reviewed
Accepted version
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Date
2018Metadata
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- Institutt for matematiske fag [2530]
- Publikasjoner fra CRIStin - NTNU [38672]
Original version
10.1142/S021949881850158XAbstract
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.