Ancestor ideals of vector spaces of forms, and level algebras.

DOI10.1016/S0021-8693(03)00425-3zbMath1119.13015arXivmath/0307281OpenAlexW2058789837MaRDI QIDQ1427361

Anthony A. Iarrobino

Publication date: 14 March 2004

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

Full work available at URL: https://arxiv.org/abs/math/0307281

zbMATH Keywords

Hilbert functiongraded Betti numberslevel algebraancestor algebra

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items

Strata of rational space curves ⋮ Artinian level algebras of socle degree 4 ⋮ Unnamed Item ⋮ Free resolutions and Lefschetz properties of some Artin Gorenstein rings of codimension four ⋮ Normal bundle of rational curves and Waring decomposition ⋮ 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 \((1,3^k,1)\) ⋮ Log-concave Gorenstein sequences ⋮ Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Strata of vector spaces of forms in \({R = \mathsf k[x, y}\), and of rational curves in \({\mathbb{P}^k}\)] ⋮ Betti strata of height two ideals ⋮ Simplicity of a vector space of forms: Finiteness of the number of complete Hilbert functions ⋮ Artinian level modules of embedding dimension two ⋮ Reducible family of height three level algebras ⋮ Hilbert function of local Artinian level rings in codimension two ⋮ Level Algebras of Type 2 ⋮ Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\)

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