Realizability and the Avrunin-Scott theorem for higher-order support varieties
Commutative Algebra
2015-12-03 v2 K-Theory and Homology
Rings and Algebras
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.
Keywords
Cite
@article{arxiv.1511.03991,
title = {Realizability and the Avrunin-Scott theorem for higher-order support varieties},
author = {Petter Andreas Bergh and David A. Jorgensen},
journal= {arXiv preprint arXiv:1511.03991},
year = {2015}
}
Comments
8 pages