Inverse systems of zero-dimensional schemes in \(\mathbb P^n\)

DOI10.1016/j.jalgebra.2012.04.032zbMath1262.14068arXiv1107.0094OpenAlexW2964238233MaRDI QIDQ1939291

Young Hyun Cho, Anthony A. Iarrobino

Publication date: 4 March 2013

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

Full work available at URL: https://arxiv.org/abs/1107.0094

zbMATH Keywords

globalizationirreducible componentszero-dimensional schemeMacaulay inverse systemregularity degreegeneralized additive decompositionGorenstein Artin ring

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) Commutative rings of differential operators and their modules (13N10) Projective techniques in algebraic geometry (14N05)

Related Items (9)

Extending the idea of compressed algebra to arbitrary socle-vectors. II: Cases of non-existence ⋮ Unimodal Gorenstein h-vectors without the Stanley–Iarrobino property ⋮ Finding inverse systems from coordinates ⋮ Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Inverse limits of Macaulay's inverse systems ⋮ Hilbert functions and level algebras ⋮ A constructive approach to one-dimensional Gorenstein ${\mathbf {k}}$-algebras ⋮ Hilbert functions of Artinian Gorenstein algebras with the strong Lefschetz property ⋮ The structure of the inverse system of Gorenstein \(k\)-algebras

Uses Software

• Macaulay2

Cites Work

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