The Cone of Hilbert Functions in the non-standard graded Case

2012/01/07 by Daniel Brinkmann, Brinkmann, Daniel, Marianne Merz +1
Mathematics · #05E40 #13C05 #16W50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AC #msc:05E40 #msc:13C05 #msc:16W50

paper · pdf · doi:10.48550/arxiv.1201.1555

14 pages, 14 figures. This paper was produced during Pragmatic 2011, v2: minor corrections

openalex publication_date 2012/01/07 · arxiv created 2012/01/27 · arxiv updated 2012/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We describe the cone of Hilbert functions of artinian graded modules finitely generated in degree 0 over the polynomial ring R = k[x, y] with the non-standard grading deg(x) = 1 and deg(y) = n, where n is any natural number.

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