Hilbert series of modules of GK-dimension two over elliptic algebras

2006/06/06 by Koen De Naeghel, De Naeghel, Koen
Mathematics · #16G50 #16P90 #16S38 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra and Its Applications #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.math/0606128

openalex publication_date 2006/06/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize the Hilbert functions and minimal resolutions of (critical) Cohen-Macaulay graded right modules of Gelfand-Kirillov dimension two over generic quadratic and cubic three dimensional Artin-Schelter regular algebras.

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