Progress on the symmetric Strassen conjecture
  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. 
Enrico Carlini, Maria Virginia Catalisano, Luca Chiantini
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