On Unimodality of Hilbert Functions of Gorenstein Artin Algebras of Embedding Dimension Four

DOI10.1080/00927872.2011.587216zbMath1254.13023arXiv1011.2732OpenAlexW2013021262MaRDI QIDQ3164947

Hema Srinivasan, Sumi Seo

Publication date: 18 October 2012

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

Full work available at URL: https://arxiv.org/abs/1011.2732

zbMATH Keywords

Gorenstein ringunimodularity

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Combinatorial aspects of commutative algebra (05E40)

Related Items (7)

Unimodal Gorenstein h-vectors without the Stanley–Iarrobino property ⋮ On minimal Gorenstein Hilbert functions ⋮ Proof of the Gorenstein interval conjecture in low socle degree ⋮ Unnamed Item ⋮ Nonunimodal Gorenstein sequences of higher socle degrees ⋮ Stanley’s nonunimodal Gorenstein $h$-vector is optimal ⋮ An Artinian Quotient of the Coordinate Ring of a Complete Intersection in ℙⁿHaving the Weak Lefschetz Property

Cites Work

• Unnamed Item
• A characterization of Gorenstein Hilbert functions in codimension four with small initial degree
• The number of faces of a simplicial convex polytope
• Hilbert functions of graded algebras
• Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers.
• Extending the idea of compressed algebra to arbitrary socle-vectors. II: Cases of non-existence
• Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\)
• A nonunimodal graded gorenstein artin algebra in codimension five
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Geometric Consequences of Extremal Behavior in a Theorem of Macaulay

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