Polynomials and tensors of bounded strength

DOI10.1142/S0219199718500621zbMath1425.15021arXiv1805.01816OpenAlexW2801076926WikidataQ114072664 ScholiaQ114072664MaRDI QIDQ5237237

Rob H. Eggermont, Jan Draisma, Arthur Bik

Publication date: 17 October 2019

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01816

zbMATH Keywords

strengthinvariant theorytensor rankpolynomial functorsWaring rank

Mathematics Subject Classification ID

Determinantal varieties (14M12) Vector and tensor algebra, theory of invariants (15A72) Actions of groups on commutative rings; invariant theory (13A50) Multilinear algebra, tensor calculus (15A69) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items

On the strength of general polynomials, The set of forms with bounded strength is not closed, Universality of high-strength tensors, Strength and slice rank of forms are generically equal, Topological Noetherianity of polynomial functors. II: Base rings with Noetherian spectrum, Lower bounds on the rank and symmetric rank of real tensors, Properties of high rank subvarieties of affine spaces, Big polynomial rings with imperfect coefficient fields, Topological Noetherianity of polynomial functors, The Hitchhiker guide to: secant varieties and tensor decomposition

Cites Work

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• Topological noetherianity for cubic polynomials
• On ranks of polynomials
• Decomposable Ternary Cubics
• Small subalgebras of polynomial rings and Stillman’s Conjecture
• Topological Noetherianity of polynomial functors