\(s\)-Hankel hypermatrices and \(2\times 2\) determinantal ideals

DOI10.1216/JCA-2016-8-2-239zbMath1348.13020arXiv1210.4230MaRDI QIDQ2629211

Alessio Sammartano

Publication date: 5 July 2016

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

Full work available at URL: https://arxiv.org/abs/1210.4230

zbMATH Keywords

binomial idealHilbert functionprimary decompositionHankelhypermatrix\(2\times 2\) minor

Mathematics Subject Classification ID

Linkage, complete intersections and determinantal ideals (13C40) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Combinatorial aspects of commutative algebra (05E40)

Uses Software

• Macaulay2
• Binomials.m2

Cites Work

• Hankel hyperdeterminants, rectangular Jack polynomials and even powers of the Vandermonde
• Straightening law and powers of determinantal ideals of Hankel matrices
• Binomial ideals
• Minimal primes of ideals arising from conditional independence statements
• Ideals of varieties parameterized by certain symmetric tensors
• Exponential data fitting using multilinear algebra: the single‐channel and multi‐channel case
• Decomposable Tensors as a Quadratic Variety
• Hankel hyperdeterminants and Selberg integrals
• Fast Multilinear Singular Value Decomposition for Structured Tensors
• Cohen-Macaulay Rings, Invariant Theory, and the Generic Perfection of Determinantal Loci
• Decompositions of binomial ideals
• Box-shaped matrices and the defining ideal of certain blowup surfaces.
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