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arXiv · 1605.00384

Waring loci and the Strassen conjecture

Enrico Carlini·Maria Virginia Catalisano·Alessandro Oneto
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Abstract

The Waring locus of a form F is the collection of the degree one forms appearing in some minimal sum of powers decomposition of F. In this paper, we give a complete description of Waring loci for several family of forms, such as quadrics, monomials, binary forms and plane cubics. We also introduce a Waring loci version of Strassen's Conjecture, which implies the original conjecture, and we prove it in many cases.

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Enrico Carlini, Maria Virginia Catalisano, Alessandro Oneto. 2016-05-02. Waring loci and the Strassen conjecture. https://doi.org/10.1016/j.aim.2017.05.008

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