Complex and real ranks of reducible cubics
Enrico Carlini, Cheng Guo, Emanuele Ventura
TL;DR
This paper provides a comprehensive analysis of the complex and real Waring ranks of reducible cubic forms, offering a complete classification over the complex numbers.
Contribution
It delivers a complete characterization of the Waring ranks of reducible cubic forms over both complex and real fields, filling a gap in the existing literature.
Findings
Complete description of complex Waring ranks
Full classification of real Waring ranks
New insights into reducible cubic forms
Abstract
In this paper, we give a complete description of the complex and the real Waring ranks of reducible cubic forms over C.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Tensor decomposition and applications · Advanced Algebra and Geometry