Apolarity and direct sum decomposability of polynomials

DOI10.1307/mmj/1447878029zbMath1339.13012arXiv1307.3314OpenAlexW2964021267MaRDI QIDQ905037

Zach Teitler, Johannes Kleppe, Jarosław Buczyński, Weronika Buczyńska

Publication date: 14 January 2016

Published in: Michigan Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3314

zbMATH Keywords

direct sumsapolaritydecomposablepartial differentiationlimit of direct sums

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials over commutative rings (13B25) Projective techniques in algebraic geometry (14N05) Classical problems, Schubert calculus (14N15)

Related Items (19)

A bound for the Waring rank of the determinant via syzygies ⋮ On centres and direct sum decompositions of higher degree forms ⋮ Distinguishing secant from cactus varieties ⋮ Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Erratum to: on homogeneous polynomials determined by their Jacobian ideal ⋮ On minimal decompositions of low rank symmetric tensors ⋮ Associated graded rings and connected sums ⋮ Decomposing Gorenstein rings as connected sums ⋮ Diagonalizable higher degree forms and symmetric tensors ⋮ Connected sums of graded Artinian Gorenstein algebras and Lefschetz properties ⋮ Sufficient conditions for Strassen's additivity conjecture ⋮ Apolarity for determinants and permanents of generic matrices ⋮ VSPs of cubic fourfolds and the Gorenstein locus of the Hilbert scheme of 14 points on \(\mathbb{A}^6\) ⋮ Identifying limits of ideals of points in the case of projective space ⋮ Deformation of Milnor algebras ⋮ Apolarity, border rank, and multigraded Hilbert scheme ⋮ Elementary components of Hilbert schemes of points ⋮ Artinian algebras and Jordan type ⋮ Waring loci and the Strassen conjecture

Uses Software

• Macaulay2

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