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Waring loci and the Strassen conjecture

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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Submitted on : Tuesday, September 19, 2017 - 11:12:15 AM
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Enrico Carlini, Maria Catalisano, Alessandro Oneto. Waring loci and the Strassen conjecture. Advances in Mathematics, Elsevier, 2017, 314, pp.630 -- 662. ⟨10.1016/j.aim.2017.05.008⟩. ⟨hal-01589890⟩

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