Stanley’s nonunimodal Gorenstein $h$-vector is optimal

DOI10.1090/proc/13381zbMath1350.13014arXiv1512.01433OpenAlexW2963824623MaRDI QIDQ2832802

Fabrizio Zanello, Juan C. Migliore

Publication date: 14 November 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01433

zbMATH Keywords

\(O\)-sequenceHilbert functionunimodalityMacaulay's theoremGorenstein \(h\)-vectorartinian algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Combinatorial aspects of commutative algebra (05E40)

Related Items

Artinian level algebras of socle degree 4, Classifying local Artinian Gorenstein algebras, Unimodal Gorenstein h-vectors without the Stanley–Iarrobino property, Green's theorem and Gorenstein sequences, Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four, On minimal Gorenstein Hilbert functions, Proof of the Gorenstein interval conjecture in low socle degree, On the Hilbert function of Gorenstein algebras of socle degree four, Unnamed Item, Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting), Nonunimodal Gorenstein sequences of higher socle degrees, The Jordan type of graded Artinian Gorenstein algebras, Artinian algebras and Jordan type

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