Complete intersection Jordan types in height two

DOI10.1016/j.jalgebra.2020.04.015zbMath1440.13084arXiv1810.00716OpenAlexW3020751719MaRDI QIDQ2178563

Leila Khatami, Nasrin Altafi, Anthony A. Iarrobino

Publication date: 11 May 2020

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

Full work available at URL: https://arxiv.org/abs/1810.00716

zbMATH Keywords

partitionHessiancomplete intersectionHilbert functionArtinian algebraJordan typehook code

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Combinatorial aspects of commutative algebra (05E40)

Related Items (6)

Jordan types with small parts for Artinian Gorenstein algebras of codimension three ⋮ Number of generators of ideals in Jordan cells of the family of graded Artinian algebras of height two ⋮ Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Lefschetz properties in algebra, geometry and combinatorics. Abstracts from the workshop held September 27 -- October 3, 2020 (hybrid meeting) ⋮ Free extensions and Lefschetz properties, with an application to rings of relative coinvariants ⋮ Artinian algebras and Jordan type

Cites Work

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• Sperner property and finite-dimensional Gorenstein algebras associated to matroids
• Betti numbers for the Hilbert function strata of the punctual Hilbert scheme in two variables
• The central simple modules of Artinian Gorenstein algebras
• Description de Hilb sup(n) C{X,Y}
• On higher Hessians and the Lefschetz properties
• On mixed Hessians and the Lefschetz properties
• Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
• The Jordan type of graded Artinian Gorenstein algebras
• The Lefschetz properties
• Punctual Hilbert schemes
• The Family G_Tof Graded Artinian Quotients ofk[x,y of Given Hilbert Function]
• Number of generators of ideals in Jordan cells of the family of graded Artinian algebras of height two

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