The Avrunin-Scott theorem for quantum complete intersections
Petter Andreas Bergh, Karin Erdmann
TL;DR
This paper extends the Avrunin-Scott theorem to quantum complete intersections, showing an isomorphism between the rank variety and support variety of modules in this setting.
Contribution
It establishes the Avrunin-Scott theorem for quantum complete intersections, a significant generalization of the classical result.
Findings
Rank variety is isomorphic to support variety for modules
The theorem applies specifically to quantum complete intersections
Provides a new understanding of module varieties in quantum algebra
Abstract
We prove the Avrunin-Scott theorem for quantum complete intersections; the rank variety of a module is isomorphic to its support variety.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic structures and combinatorial models · Advanced Combinatorial Mathematics