Jordan type of an Artinian algebra, a survey

DOI10.1007/978-981-97-3886-1_1MaRDI QIDQ6645674

Pedro Macias Marques, Anthony Iarrobino, Nasrin Altafi

Publication date: 28 November 2024

parametrization deformation Hilbert function local algebra irreducible components Lefschetz property Jordan type symmetric decomposition Artinian Gorenstein Macaulay dual generator

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05) Syzygies, resolutions, complexes and commutative rings (13D02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Deformations of singularities (14B07) Structure of finite commutative rings (13M05)

Cites Work

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Lefschetz properties for Artinian Gorenstein algebras presented by quadrics
Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
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Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four
Number of generators of ideals in Jordan cells of the family of graded Artinian algebras of height two
Limits of graded Gorenstein algebras of Hilbert function \((1,3^k,1)\)

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