Real and complex Waring rank of reducible cubic forms

2015/12/15 by Enrico Carlini, Cheng Guo, Carlini, Enrico +3 · 2 citations
Computer Science · Mathematics · #Coding theory and cryptography #Commutative Algebra (math.AC) #FOS: Mathematics #Finite Group Theory Research #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1512.04905

openalex publication_date 2015/12/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this paper, we study the real and the complex Waring rank of reducible cubic forms. In particular, we compute the complex rank of all reducible cubic forms. In the real case, for all reducible cubics, we either compute or bound the real rank depending on the signature of the degree two factor.

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• Waring decompositions of the product of two quadrics: the small rank cases
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