The Avrunin-Scott theorem for quantum complete intersections.

DOI10.1016/j.jalgebra.2008.12.019zbMath1229.16005arXiv0810.3308OpenAlexW1968530436MaRDI QIDQ731227

Petter Andreas Bergh, Karin Erdmann

Publication date: 2 October 2009

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0810.3308

zbMATH Keywords

support varietiesrank varietiesquantum complete intersections

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Group rings (16S34) Complete intersections (14M10)

Related Items (4)

Modules of constant Jordan type over quantum complete intersections ⋮ On support varieties for Lie superalgebras and finite supergroup schemes ⋮ On support varieties and tensor products for finite dimensional algebras ⋮ Support varieties over skew complete intersections via derived braided Hochschild cohomology

Cites Work

• Some remarks on Koszul algebras and quantum groups
• The varieties and the cohomology ring of a module
• Hochschild cohomology and homology of quantum complete intersections.
• Cohomology of twisted tensor products.
• Rank varieties for a class of finite-dimensional local algebras.
• Quillen stratification for modules
• Complete intersection dimension
• Support varieties for selfinjective algebras.
• The Avrunin and Scott theorem and a truncated polynomial algebra.
• RELATIVE SUPPORT VARIETIES
• Support varieties and Hochschild cohomology rings

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