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Real Rank Two Geometry (1609.09245v3)
Published 29 Sep 2016 in math.AG, cs.CG, and math.OC
Abstract: The real rank two locus of an algebraic variety is the closure of the union of all secant lines spanned by real points. We seek a semi-algebraic description of this set. Its algebraic boundary consists of the tangential variety and the edge variety. Our study of Segre and Veronese varieties yields a characterization of tensors of real rank two.
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