2015/11/12 by Petter Andreas Bergh, Bergh, Petter Andreas, David A. Jorgensen +1
Mathematics · #13D02 #13D07 #16S34 #20C05 #Commutative Algebra (math.AC) #FOS: Mathematics #K-Theory and Homology (math.KT) #Rings and Algebras (math.RA) #math.AC #math.KT #math.RA #msc:13D02 #msc:13D07 #msc:16S34 #msc:20C05
paper · pdf · doi:10.48550/arxiv.1511.03991
8 pages
arxiv created 2015/12/02 · arxiv updated 2015/12/03
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.