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07 February 2025
 
  » arxiv » 1605.0384

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Waring loci and the Strassen conjecture
Enrico Carlini ; Maria Virginia Catalisano ; Alessandro Oneto ;
Date 2 May 2016
AbstractThe 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.
Source arXiv, 1605.0384
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