A note on Artin Gorenstein algebras with Hilbert function \((1,4,k,k,4,1)\)
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Publication:6630006
DOI10.1090/conm/805/16125MaRDI QIDQ6630006
Publication date: 30 October 2024
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Other special types of modules and ideals in commutative rings (13C13)
Cites Work
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- Components of the space parametrizing graded Gorenstein Artin algebras with a given Hilbert function
- Some properties of enumeration in the theory of modular systems.
- Ueber die algebraischen Formen, deren Hesse'sche Determinante identisch verschwindet.
- On higher Hessians and the Lefschetz properties
- The weak and strong Lefschetz properties for Artinian \(K\)-algebras
- When does the Hessian determinant vanish identically? (On Gordan and Noether's proof of Hesse's claim)
- Irreducibility and dimension theorems for families of height 3 Gorenstein algebras
- On the weak Lefschetz property for artinian Gorenstein algebras of codimension three
- Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
- The Lefschetz properties
- Calabi-Yau threefolds in \(\mathbb{P}^n\) and Gorenstein rings
- Lefschetz properties of some codimension three Artinian Gorenstein algebras
- On the Theory of Gordan-Noether on Homogeneous Forms with Zero Hessian (Improved Version)
- Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four
- A theorem of Gordan and Noether via Gorenstein rings
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