Nonunimodal Gorenstein sequences of higher socle degrees
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Publication:517068
DOI10.1016/j.jalgebra.2017.01.008zbMath1365.13028OpenAlexW2575384230MaRDI QIDQ517068
Publication date: 16 March 2017
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2017.01.008
trivial extensionsMacaulay's theoremGorenstein \(h\)-vectorGorenstein sequenceGreen's restriction theoremnonunimodal \(h\)-vectors
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Divisors, linear systems, invertible sheaves (14C20)
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Cites Work
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- Artinian level algebras of codimension 3
- Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property
- Minimal resolutions of some monomial ideals
- Bounds and asymptotic minimal growth for Gorenstein Hilbert functions
- Hilbert functions of graded algebras
- Combinatorics and commutative algebra.
- Some algebraic consequences of Green's hyperplane restriction theorems
- On Gorenstein sequences of socle degrees 4 and 5
- Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\)
- Stanley’s nonunimodal Gorenstein $h$-vector is optimal
- On Unimodality of Hilbert Functions of Gorenstein Artin Algebras of Embedding Dimension Four
- On the degree two entry of a Gorenstein $h$-vector and a conjecture of Stanley
- A nonunimodal graded gorenstein artin algebra in codimension five
- Nonunimodality of Graded Gorenstein Artin Algebras
- Level Algebras, Lex Segments, and Minimal Hilbert Functions
- Consecutive cancellations in Betti numbers
- Characterization of Hilbert Functions of Gorenstein Artin Algebras with the Weak Stanley Property
- Stanley’s theorem on codimension 3 Gorenstein ℎ-vectors
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