Sufficient conditions for Strassen's additivity conjecture

zbMath1359.14049arXiv1604.07691MaRDI QIDQ512483

Zach Teitler

Publication date: 27 February 2017

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.07691

zbMATH Keywords

Waring rankcactus rankStrassen's additivity conjecture

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Polynomials, factorization in commutative rings (13P05) Effectivity, complexity and computational aspects of algebraic geometry (14Q20) Projective techniques in algebraic geometry (14N05) Multilinear algebra, tensor calculus (15A69) Classical problems, Schubert calculus (14N15)

Related Items (max. 100)

On Comon's and Strassen's conjectures ⋮ A note on the simultaneous Waring rank of monomials ⋮ Geometric conditions for strict submultiplicativity of rank and border rank ⋮ The Waring rank of binary binomial forms ⋮ On Strassen's Rank Additivity for Small Three-way Tensors ⋮ Border Rank Nonadditivity for Higher Order Tensors ⋮ The Hitchhiker guide to: secant varieties and tensor decomposition ⋮ Waring loci and the Strassen conjecture

Cites Work

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• Real and complex Waring rank of reducible cubic forms
• Some examples of forms of high rank
• Waring decompositions of monomials
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• The solution to the Waring problem for monomials and the sum of coprime monomials
• Progress on the symmetric Strassen conjecture
• On the rank of a symmetric form
• A Proof that the Maximal Rank for Plane Quartics is Seven
• Sums of even powers of real linear forms
• ON DIFFERENCES BETWEEN THE BORDER RANK AND THE SMOOTHABLE RANK OF A POLYNOMIAL

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