On polynomials with given Hilbert function and applications

DOI10.1007/s13348-016-0190-2zbMath1454.13042arXiv1211.7306OpenAlexW3102550440MaRDI QIDQ1697762

Alessandra Bernardi, Kristian Ranestad, Pedro Macias Marques, Joachim Jelisiejew

Publication date: 20 February 2018

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.7306

zbMATH Keywords

cactus rankArtinian Gorenstein local algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Computational aspects of higher-dimensional varieties (14Q15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (10)

Strict inclusions of high rank loci ⋮ Artinian level algebras of socle degree 4 ⋮ A bound for the Waring rank of the determinant via syzygies ⋮ Distinguishing secant from cactus varieties ⋮ Symmetric decomposition of the associated graded algebra of an Artinian Gorenstein algebra ⋮ Waring, tangential and cactus decompositions ⋮ A note on the cactus rank for Segre-Veronese varieties ⋮ Explicit projective embeddings of standard opens of the Hilbert scheme of points ⋮ Partially Symmetric Variants of Comon's Problem Via Simultaneous Rank ⋮ An improved upper bound for the Waring rank of the determinant

Cites Work

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• Classical Algebraic Geometry
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• Associated graded algebra of a Gorenstein Artin algebra
• Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes

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