Progress on the symmetric Strassen conjecture

2014/05/15 by Carlini, Enrico, Catalisano, Maria Virginia, Chiantini, Luca · 1 citation
#14Q20 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1405.3721

Abstract

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.

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• On the construction of a counterexample to Strassen's rank additivity conjecture

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