A note on the Waring ranks of reducible cubic forms

2013/05/23 by Emanuele Ventura, Ventura, Emanuele
Computer Science · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algorithms and Data Compression #Commutative Algebra (math.AC) #FOS: Mathematics #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1305.5394

openalex publication_date 2013/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let W₃(n) be the set of Waring ranks of reducible cubic forms in n+1 variables. We prove that W₃(n)⊆ \lbrace 1,..., 2n+1\rbrace.

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