Progress on the symmetric Strassen conjecture

• Enrico Carlini ^[1] ; Maria Virginia Catalisano ^[2] ; Luca Chiantini ^[3]
  1. [1] Polytechnic University of Turin

     Polytechnic University of Turin

     Torino, Italia

     
  2. [2] University of Genoa

     University of Genoa

     Genoa, Italia

     
  3. [3] Università degli Studi di Siena

     Università degli Studi di Siena

     Siena, Italia

     

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• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 8 (August 2015), 2015, págs. 3149-3157
• Idioma: inglés
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• Resumen

  • Let F and G be homogeneous polynomials in disjoint sets of variables. We prove that the Waring rank is additive, thus proving the symmetric Strassen conjecture, when either F or G is a power, or F and G have two variables, or either F or G has small rank.