High-rank ternary forms of even degree

DOI10.1007/s00013-017-1105-5zbMath1382.15016arXiv1706.04604OpenAlexW2626210848MaRDI QIDQ1682401

Alessandro De Paris

Publication date: 30 November 2017

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.04604

zbMATH Keywords

symmetric tensortensor rankWaring rankternary formsum of powers of linear forms

Mathematics Subject Classification ID

Computational aspects and applications of commutative rings (13P99) Quadratic and bilinear forms, inner products (15A63) Multilinear algebra, tensor calculus (15A69) Canonical forms, reductions, classification (15A21) Classical problems, Schubert calculus (14N15)

Related Items (3)

Strict inclusions of high rank loci ⋮ Set evincing the ranks with respect to an embedded variety (symmetric tensor rank and tensor rank) ⋮ Seeking for the maximum symmetric rank

Cites Work

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• The asymptotic leading term for maximum rank of ternary forms of a given degree
• Some examples of forms of high rank
• On the weak Lefschetz property for powers of linear forms
• Apolarity and canonical forms for homogeneous polynomials
• Inverse system of a symbolic power. II: The Waring problem for forms
• Harbourne, Schenck and Seceleanu's conjecture

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